tag:blogger.com,1999:blog-45080185226010639152024-03-04T20:17:02.560-08:00The Science of TransportationThe Physics of Planes, Trains, Automobiles, Boats, Bicycles, Skates, Skateboards, & more!Anonymoushttp://www.blogger.com/profile/06885964179429378710noreply@blogger.comBlogger15125tag:blogger.com,1999:blog-4508018522601063915.post-73627837325669729642016-04-15T03:06:00.001-07:002016-04-15T03:06:02.903-07:00Effects of Waves in Water Transportation<div class="separator" style="clear: both; text-align: left;">
<span style="font-family: "trebuchet ms" , sans-serif;">The movement of water is more complex in reality than in the lab. Take a moment to write a list of phenomena which affect water transportation in real waterways, compared to a simple lab experiment in a tub.</span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;">Now, consider the picture of water in a natural reservoir below.</span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjOwgaR7d_Qw9bS3X0O7LLO3BK6EXmXoL9fAWLAA7-DJvV_4r8qInCrVDAxulfUWj7rxoxYkjn8vzEgQMAdiI7t6gqGc3_u1r-si4uqLFAHI03-T2mXgNw3uNMSVkXVCmYvcCbu4V34TDTn/s1600/M1000003.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: "trebuchet ms" , sans-serif;"><img border="0" height="225" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjOwgaR7d_Qw9bS3X0O7LLO3BK6EXmXoL9fAWLAA7-DJvV_4r8qInCrVDAxulfUWj7rxoxYkjn8vzEgQMAdiI7t6gqGc3_u1r-si4uqLFAHI03-T2mXgNw3uNMSVkXVCmYvcCbu4V34TDTn/s400/M1000003.JPG" width="400" /></span></a></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><u>Discussion Questions</u></span><br />
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<li><span style="font-family: "trebuchet ms" , sans-serif;">What does the picture show? </span></li>
<li><span style="font-family: "trebuchet ms" , sans-serif;">What is colliding with the water? </span></li>
<li><span style="font-family: "trebuchet ms" , sans-serif;">What are the effects of the collisions?</span></li>
<li><span style="font-family: "trebuchet ms" , sans-serif;">How is the water moving in this picture?</span></li>
<li><span style="font-family: "trebuchet ms" , sans-serif;">Are these phenomena small or large? Name several comparison objects in the same order of magnitude (e.g., a leaf, a fishing boat, an ocean liner).</span></li>
<li><span style="font-family: "trebuchet ms" , sans-serif;">Consider the waves in the picture more closely. Estimate the ratio of sizes of the waves, comparing the largest and smallest waves in height and width.</span></li>
<li><span style="font-family: "trebuchet ms" , sans-serif;">Estimate the absolute size of the height and width of the waves in millimeters.</span></li>
<li><span style="font-family: "trebuchet ms" , sans-serif;">Do the waves have an additive effect? If so, show at least 2 examples on the picture.</span></li>
<li><span style="font-family: "trebuchet ms" , sans-serif;">Do the waves have a cancelling effect? If so, show at least 2 examples on the picture.</span></li>
<li><span style="font-family: "trebuchet ms" , sans-serif;">Would these waves affect the water transportation of humans or cargo? If so, how?</span></li>
<li><span style="font-family: "trebuchet ms" , sans-serif;">How do the motion of waves in an ocean compare to the waves in this picture? Do these waves affect transportation of humans or cargo? If so, how? </span></li>
<li><span style="font-family: "trebuchet ms" , sans-serif;">What is the order of magnitude of difference between the waves in this picture and waves in a river? In an ocean? Use a reference book, if necessary.</span></li>
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Anonymoushttp://www.blogger.com/profile/06885964179429378710noreply@blogger.comtag:blogger.com,1999:blog-4508018522601063915.post-40112255479579068442016-03-11T06:33:00.000-08:002016-03-11T06:35:44.385-08:00Science of Transportation Memorabilia<div style="text-align: center;">
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<span style="font-family: "trebuchet ms" , sans-serif;">Celebrate the science of transportation with memorabilia from <a href="http://www.zazzle.com/mschottenbauer*/collections" target="_blank">Zazzle</a>! Colorful graphs from <a href="http://sites.google.com/site/schottenbauerpublishing/" target="_blank">Schottenbauer Publishing</a> are featured on these mugs, magnets, keychains, & postcar</span><span style="font-family: "trebuchet ms" , sans-serif;">ds. Graphs features the motion of a car, train, rocket, parachute, falling plastic bag, and ball floating in water. </span><span style="font-family: "trebuchet ms" , sans-serif;">A d</span><span style="font-family: "trebuchet ms" , sans-serif;">irect link is included below:</span></div>
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<span style="font-family: "trebuchet ms" , sans-serif;"><a href="http://www.zazzle.com/collections/transportation-119433773068235557"> <img alt="Transportation" src="http://rlv.zcache.com/transportation_119433773068235557-r_zruem_67w50_425.jpg" style="border: 0;" /> </a> </span></div>
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Anonymoushttp://www.blogger.com/profile/06885964179429378710noreply@blogger.comtag:blogger.com,1999:blog-4508018522601063915.post-35785148539761192042016-01-02T08:12:00.001-08:002016-01-09T11:29:06.364-08:00The Geometry of Cars<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhacdE_929L8uUcEv2nhgy0VFihv_WZxSjqygnc_YTeDilepPWQGtJgZAzVn58zlrIml2GsONLBvkdC_w4qo3yDe-prWi4boe1pnyRSGnL3fnu60dUSxODOerHmDhkuIoFiLoTbwGzRnBmg/s1600/BOOK+Cover+GEOMETRY+of+Cars.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhacdE_929L8uUcEv2nhgy0VFihv_WZxSjqygnc_YTeDilepPWQGtJgZAzVn58zlrIml2GsONLBvkdC_w4qo3yDe-prWi4boe1pnyRSGnL3fnu60dUSxODOerHmDhkuIoFiLoTbwGzRnBmg/s320/BOOK+Cover+GEOMETRY+of+Cars.jpg" width="250" /></a></div>
<span style="font-family: 'Trebuchet MS', sans-serif;">Geometry is an essential element of transportation design. Take a moment to write down a few ways in which geometry affects cars and other vehicles. </span><br />
<span style="font-family: Trebuchet MS, sans-serif;"><br /></span><span style="font-family: Trebuchet MS, sans-serif;"><u><b>Discussion Questions</b></u></span><br />
<ol>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">What data is necessary to collect in order to understand the role of geometry in transportation? </span></li>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">What spatial perspectives and/or m</span><span style="font-family: 'Trebuchet MS', sans-serif;">athematical planes are relevant? </span></li>
</ol>
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<span style="font-family: Trebuchet MS, sans-serif;">The cover of <a href="http://www.amazon.com/Geometry-Cars-M-Schottenbauer-ebook/dp/B00KHHX6MU/" target="_blank"><b><i>The Geometry of Cars</i></b></a>, to the right above, features a car on the road. </span><br />
<span style="font-family: Trebuchet MS, sans-serif;"><br /></span><span style="font-family: Trebuchet MS, sans-serif;"><u><b>Discussion Questions</b></u></span><br />
<ol>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">What angles can be measured on the diagram? </span></li>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">Which angles are most relevant for the vehicle as it travels on the road? </span></li>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">Is any essential information missing from the picture? What is necessary in order to measure that information?</span></li>
</ol>
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<span style="font-family: Trebuchet MS, sans-serif;">Geometry diagrams featuring automobiles and other vehicles</span><span style="font-family: 'Trebuchet MS', sans-serif;"> are available in the following book from </span><a href="https://sites.google.com/site/schottenbauerpublishing/" style="font-family: 'Trebuchet MS', sans-serif;" target="_blank"><b>Schottenbauer Publishing</b></a><span style="font-family: 'Trebuchet MS', sans-serif;">:</span><br />
<span style="font-family: Trebuchet MS, sans-serif;"><br /></span><span style="font-family: Trebuchet MS, sans-serif;"><a href="https://sites.google.com/site/schottenbauerpublishing/education/math" target="_blank"><b>Geometry Workbooks</b></a></span><br />
<ul><span style="font-family: Trebuchet MS, sans-serif;"><b><i></i></b>
<li><b><i>The Geometry of Cars </i></b></li>
<ul>
<li><a href="http://www.amazon.com/Geometry-Cars-Workbook-M-Schottenbauer/dp/1499714998/" target="_blank">Paperback</a></li>
<li><a href="http://www.amazon.com/Geometry-Cars-M-Schottenbauer-ebook/dp/B00KHHX6MU/" target="_blank">Kindle Edition</a></li>
</ul>
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Anonymoushttp://www.blogger.com/profile/06885964179429378710noreply@blogger.comtag:blogger.com,1999:blog-4508018522601063915.post-1539413590502067202015-10-14T07:49:00.000-07:002016-01-09T11:28:57.793-08:00Friction & Motion<span style="font-family: Trebuchet MS, sans-serif;">Friction, which slows motion, is almost everywhere! One of the few exceptions is an air hockey table, which reduces friction significantly by using air. Even on an air hockey table, friction eventually wins and motion stops.</span><br />
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<span style="font-family: Trebuchet MS, sans-serif;">The following graph, excerpted from <i><b><a href="http://www.amazon.com/s/ref=nb_sb_noss?url=search-alias%3Daps&field-keywords=gravity+schottenbauer" target="_blank">Gravity, Springs, & Collisions: Volume 2</a></b></i> from <a href="https://sites.google.com/site/schottenbauerpublishing/" target="_blank">Schottenbauer Publishing</a>, shows a disk traveling on an air hockey table.</span><br />
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<a href="http://1.bp.blogspot.com/-3qTLuRBMUbk/VbTw66zrvvI/AAAAAAAAIHs/E8efy_ho3l0/s1600/Air%2BHockey%2BPuck.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Trebuchet MS, sans-serif;"><img border="0" height="300" src="http://1.bp.blogspot.com/-3qTLuRBMUbk/VbTw66zrvvI/AAAAAAAAIHs/E8efy_ho3l0/s400/Air%2BHockey%2BPuck.JPG" width="400" /></span></a></div>
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<span style="font-family: Trebuchet MS, sans-serif;"><u>Discussion Questions</u></span><br />
<ol>
<li><span style="font-family: Trebuchet MS, sans-serif;">How many collisions occur in the graph?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Draw a sketch of the air hockey table, showing the points of collision with sides of the table. Label each point of collision with the time. N</span><span style="font-family: 'Trebuchet MS', sans-serif;">umber each segment of the journey.</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Make a table, listing each segment in one column. In the next column, describe whether the effects of friction are present (yes/no).</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">How many collisions occur before the effects of friction are apparent?</span></li>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">Calculate the average speed of the puck during each segment. Add these to the table from #3. </span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Calculate the initial kinetic energy of the puck. The air hockey puck has mass of 1.22 g, diameter 3.2 cm, and height 0.2 cm.</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">In the final segment, what is the average kinetic energy of the puck?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Why does the puck eventually stop? Draw a diagram of the side of the puck, showing theoretical initial and final conditions.</span></li>
</ol>
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<span style="font-family: Trebuchet MS, sans-serif;">Over 8,000 graphs from <a href="https://sites.google.com/site/schottenbauerpublishing/" target="_blank">Schottenbauer Publishing</a> provide additional real-life topics for student learning, including sports, transportation, construction, environment, music, entertainment/toys, and general physics. </span><br />
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Anonymoushttp://www.blogger.com/profile/06885964179429378710noreply@blogger.comtag:blogger.com,1999:blog-4508018522601063915.post-4841059682693073812015-07-29T13:09:00.003-07:002016-01-09T11:28:52.022-08:00Boats in Artificial & Real Conditions<span style="background-color: white; color: #222222; font-family: 'Trebuchet MS', sans-serif; font-size: 15.3999996185303px; line-height: 21.5599994659424px;">Similar patterns of motion can be found in the laboratory and in real-life conditions. Real life often demonstrates greater chaos, however, due to the complex effects of environmental conditions such as weather.</span><br />
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<span style="font-family: 'Trebuchet MS', sans-serif;">The graphs below, excerpted from </span><i style="font-family: 'Trebuchet MS', sans-serif; font-weight: bold;"><a href="http://www.amazon.com/s/ref=nb_sb_noss?url=search-alias%3Daps&field-keywords=boating+schottenbauer&rh=i%3Aaps%2Ck%3Aboating+schottenbauer" target="_blank">The Science of Floating & Boating: Volume 3</a> </i><span style="font-family: 'Trebuchet MS', sans-serif;">from </span><b style="font-family: 'Trebuchet MS', sans-serif;"><a href="https://sites.google.com/site/schottenbauerpublishing/" target="_blank">Schottenbauer Publishing</a></b><span style="font-family: 'Trebuchet MS', sans-serif;">, show the differences between floating in laboratory conditions and in a natural (outdoor) reservoir.</span><br />
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<a href="http://3.bp.blogspot.com/-MWrXyOMXCNA/VbTsQmgOBGI/AAAAAAAAH0w/SeRkhkPoDDA/s1600/Balls%2B2.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="300" src="http://3.bp.blogspot.com/-MWrXyOMXCNA/VbTsQmgOBGI/AAAAAAAAH0w/SeRkhkPoDDA/s400/Balls%2B2.JPG" width="400" /></a></div>
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<span style="font-family: Trebuchet MS, sans-serif;"><u>Discussion Questions</u></span><br />
<ol>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the range of force on the bowl?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">In what direction is most of the motion? How this be determined?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">How many times does the bowl go up and down? </span><span style="font-family: 'Trebuchet MS', sans-serif;"> If unsure, state an answer with margin of error (e.g., 10</span><span style="font-family: 'Trebuchet MS', sans-serif;">±2).</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What type of mathematical function is shown by the bowl: (a) linear, (b) parabolic, (c) sinusoidal.</span></li>
</ol>
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<a href="http://2.bp.blogspot.com/-M7wyEt_RK08/VbTsQaU3o3I/AAAAAAAAH0o/m1PKLDorLjE/s1600/Balls%2B1.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="300" src="http://2.bp.blogspot.com/-M7wyEt_RK08/VbTsQaU3o3I/AAAAAAAAH0o/m1PKLDorLjE/s400/Balls%2B1.JPG" width="400" /></a></div>
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<span style="font-family: Trebuchet MS, sans-serif;"><u>Discussion Questions</u></span><br />
<ol>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the range of force on the boat?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">In what direction is most of the motion? How this be determined?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">How many times does the boat go up and down? </span><span style="font-family: 'Trebuchet MS', sans-serif;"> If unsure, state an answer with margin of error (e.g., 10</span><span style="font-family: 'Trebuchet MS', sans-serif;">±2).</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What type of mathematical function is shown by the boat: (a) linear, (b) parabolic, (c) sinusoidal.</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Why is there greater variation in force and acceleration in this graph, compared to the graph of the bowl in the laboratory?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Write a few sentences comparing the graphs. Specifically, identify whether there is anything unusual or unexpected about these two graphs.</span></li>
</ol>
<b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;"><br /></b><b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;"><br /></b><b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;">Additional Information</b><br />
<div style="-webkit-text-stroke-width: 0px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px;">
<div>
<span style="font-family: Trebuchet MS, sans-serif;"><br /></span><a href="https://sites.google.com/site/schottenbauerpublishing/" target="_blank"><span style="font-family: Trebuchet MS, sans-serif;">Schottenbauer Publishing</span></a></div>
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Anonymoushttp://www.blogger.com/profile/06885964179429378710noreply@blogger.comtag:blogger.com,1999:blog-4508018522601063915.post-67630253375863877482015-07-29T12:57:00.003-07:002016-01-09T11:28:45.319-08:00Automobile Collisions in the Lab<span style="font-family: Trebuchet MS, sans-serif;">Automobile collisions can be studied safely in the laboratory, demonstrating force and acceleration with model cars. </span><span style="font-family: 'Trebuchet MS', sans-serif;">The graph below is excerpted from</span><span style="font-family: 'Trebuchet MS', sans-serif;"> </span><b style="font-family: 'Trebuchet MS', sans-serif;"><i><a href="http://www.amazon.com/s/ref=nb_sb_noss?url=search-alias%3Daps&field-keywords=cars+schottenbauer&rh=i%3Aaps%2Ck%3Acars+schottenbauer" target="_blank">The Science of Cars: Volume 2</a></i></b><span style="font-family: 'Trebuchet MS', sans-serif;"> </span><span style="font-family: 'Trebuchet MS', sans-serif;">from</span><span style="font-family: 'Trebuchet MS', sans-serif;"> </span><a href="https://sites.google.com/site/schottenbauerpublishing/" style="font-family: 'Trebuchet MS', sans-serif;" target="_blank">Schottenbauer Publishing</a><span style="font-family: 'Trebuchet MS', sans-serif;">.</span><br />
<span style="font-family: Trebuchet MS, sans-serif;"><br /></span>
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<div class="separator" style="clear: both; text-align: center;">
<span style="font-family: Trebuchet MS, sans-serif; margin-left: 1em; margin-right: 1em;"><a href="http://2.bp.blogspot.com/-QS9iH7a6vq8/VbTsyp2xoSI/AAAAAAAAH28/Zd6FUHLWtM0/s1600/Cars3.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="300" src="http://2.bp.blogspot.com/-QS9iH7a6vq8/VbTsyp2xoSI/AAAAAAAAH28/Zd6FUHLWtM0/s400/Cars3.JPG" width="400" /></a></span></div>
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<div class="separator" style="clear: both; text-align: center;">
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<span style="font-family: Trebuchet MS, sans-serif;"><u>Discussion Questions</u></span><br />
<ol>
<li><span style="font-family: Trebuchet MS, sans-serif;">Is the accelerometer on the car or the Hummer? How can this be determined?</span></li>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">What is the maximum acceleration?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the maximum force?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">How many collisions are shown in the graph?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">For each collision, state the acceleration and force involved in the collision.</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Calculate the average acceleration and average force across all collisions.</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Estimate the average force and average acceleration prior to the collisions.</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Write a proportion which relates the average force of impact to the average force prior to the collision. </span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Write a proportion which relates the average acceleration at impact to the average acceleration prior to the collision.</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Does the angle of collision affect the impact? How?</span></li>
</ol>
<b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;"><br /></b><b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;"><br /></b><b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;">Additional Information</b><br />
<div style="-webkit-text-stroke-width: 0px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px;">
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Anonymoushttp://www.blogger.com/profile/06885964179429378710noreply@blogger.comtag:blogger.com,1999:blog-4508018522601063915.post-54294399450413774412015-07-29T12:50:00.001-07:002016-01-09T11:28:38.739-08:00The Acceleration of Parachutes<span style="font-family: Trebuchet MS, sans-serif;">Parachutes offer a good opportunity for learning about acceleration and gravity. The following graph, excerpted from <b><i><a href="http://www.amazon.com/s/ref=nb_sb_noss?url=search-alias%3Daps&field-keywords=flight+schottenbauer" target="_blank">The Science of Flight: Volume 2</a></i></b> from <b><a href="https://sites.google.com/site/schottenbauerpublishing/" target="_blank">Schottenbauer Publishing</a></b>, shows a parachute in motion:</span><br />
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<a href="http://1.bp.blogspot.com/-dmglDMRMtGw/VbTtrcDZjaI/AAAAAAAAH60/X4QJpy6xj74/s1600/Flight.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="300" src="http://1.bp.blogspot.com/-dmglDMRMtGw/VbTtrcDZjaI/AAAAAAAAH60/X4QJpy6xj74/s400/Flight.jpg" width="400" /></a></div>
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<span style="font-family: Trebuchet MS, sans-serif;"><u>Discussion Questions</u></span><br />
<ol>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">What is the original height of the parachute? The maximum height? The final height?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the final acceleration of the parachute? Describe the acceleration in relation to gravity.</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Describe the pattern of acceleration of the parachute, from beginning to end of the flight.</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the maximum force exerted on the parachute? Is the maximum force associated with throwing the parachute, or the parachute deploying in air?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Describe the sequence of deployment of the parachute. Why does the height change in an up-down-up pattern, rather than simply going up and down?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Describe the entire flight of the parachute, from beginning to ending, in words.</span></li>
</ol>
<b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;"><br /></b><b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;"><br /></b><b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;">Additional Information</b><br />
<div style="-webkit-text-stroke-width: 0px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px;">
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Anonymoushttp://www.blogger.com/profile/06885964179429378710noreply@blogger.comtag:blogger.com,1999:blog-4508018522601063915.post-36232586199265059492015-07-01T11:32:00.000-07:002016-01-09T11:28:32.809-08:00Wheels in Motion: Bicycles, Roller Skates, & Skateboards<span style="font-family: Trebuchet MS, sans-serif;">Bicycles, roller skates, and skateboards provide opportunities for learning about the science of motion. </span><span style="font-family: 'Trebuchet MS', sans-serif;">The following graphs, excerpted from the series </span><a href="http://www.amazon.com/s/ref=nb_sb_noss?url=search-alias%3Daps&field-keywords=wheels+schottenbauer&rh=i%3Aaps%2Ck%3Awheels+schottenbauer" style="font-family: 'Trebuchet MS', sans-serif;" target="_blank">The Science of Wheels</a><span style="font-family: 'Trebuchet MS', sans-serif;"> from </span><a href="https://sites.google.com/site/schottenbauerpublishing/" style="font-family: 'Trebuchet MS', sans-serif;" target="_blank">Schottenbauer Publishing</a><span style="font-family: 'Trebuchet MS', sans-serif;">, provide data on the motion of wheels.</span><br />
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<span style="font-family: Trebuchet MS, sans-serif; margin-left: 1em; margin-right: 1em;"><a href="http://1.bp.blogspot.com/-X0qTuC7mFC0/VZL7FZLUSKI/AAAAAAAAHHA/29bwKQ9cvEA/s1600/Slide3.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://1.bp.blogspot.com/-X0qTuC7mFC0/VZL7FZLUSKI/AAAAAAAAHHA/29bwKQ9cvEA/s320/Slide3.JPG" width="320" /></a></span></div>
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<span style="font-family: Trebuchet MS, sans-serif;"><br /></span></div>
<span style="font-family: Trebuchet MS, sans-serif;">Discussion Questions</span><br />
<ol>
<li><span style="font-family: Trebuchet MS, sans-serif;">Which dotted lines show the motion of the pedal? Which dotted lines show the motion of the back wheel?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">How many times does the pedal rotate? How many times does the back wheel rotate?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What occurs at the end of the graph?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Does the period of the motion of the back wheel change over the course of the graph? If so, why?</span></li>
</ol>
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<span style="font-family: Trebuchet MS, sans-serif;"><br /></span></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="http://1.bp.blogspot.com/-Kru7SQLCwjs/VZL62pBDWoI/AAAAAAAAHFo/V0cZaiiR9jk/s1600/Slide1.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Trebuchet MS, sans-serif;"><img border="0" height="240" src="http://1.bp.blogspot.com/-Kru7SQLCwjs/VZL62pBDWoI/AAAAAAAAHFo/V0cZaiiR9jk/s320/Slide1.JPG" width="320" /></span></a></div>
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<span style="font-family: Trebuchet MS, sans-serif;"><br /></span></div>
<span style="font-family: Trebuchet MS, sans-serif;">Note: The rotational motion detector has a diameter of 0.8 cm, and the roller skate has a diameter of 6.0325 cm.</span><br />
<span style="font-family: Trebuchet MS, sans-serif;"><br /></span>
<span style="font-family: Trebuchet MS, sans-serif;">Discussion Questions</span><br />
<ol>
<li><span style="font-family: Trebuchet MS, sans-serif;">How many times does the wheel rotate? </span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the maximum acceleration of the wheel?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the maximum velocity of the wheel?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Does the wheel ever roll backwards? How can this be determined?</span></li>
</ol>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi8lsOu_DKnUIfniBPQFe9Jq3wIdlI6xH8qyHbEs5VyTpU4xZdqg9Z6vU-i9wfK9RNgyLl3kBNPclvvMTheTDOaiuwHrrrKY5D4M9djNx4T_iYkEFDsqq1fnd_Tp_M1ScOUqVW9y0IRwkWd/s1600/Slide5.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi8lsOu_DKnUIfniBPQFe9Jq3wIdlI6xH8qyHbEs5VyTpU4xZdqg9Z6vU-i9wfK9RNgyLl3kBNPclvvMTheTDOaiuwHrrrKY5D4M9djNx4T_iYkEFDsqq1fnd_Tp_M1ScOUqVW9y0IRwkWd/s320/Slide5.JPG" width="320" /></a></div>
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<span style="font-family: 'Trebuchet MS', sans-serif;">Discussion Questions</span><br />
<ol>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the maximum force exerted to pull the skateboard? The total force?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the work required to pull the skateboard?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What force would be necessary to pull the skateboard, if no wheels were present?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the average speed of the skateboard in this graph?</span></li>
</ol>
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<span style="font-family: Trebuchet MS, sans-serif;"><br /></span></div>
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<a href="http://1.bp.blogspot.com/-SBqhmocZTiw/VZL7K17jQvI/AAAAAAAAHHc/8aXSm9pxWYM/s1600/Slide4.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://1.bp.blogspot.com/-SBqhmocZTiw/VZL7K17jQvI/AAAAAAAAHHc/8aXSm9pxWYM/s320/Slide4.JPG" width="320" /></a></div>
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<span style="font-family: 'Trebuchet MS', sans-serif;">Discussion Questions</span><br />
<ol>
<li><span style="font-family: Trebuchet MS, sans-serif;">Describe the motion of the wheels in words.</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">How far do the wheels travel in this graph?</span></li>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">Estimate the initial velocity of the wheels.</span></li>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">Estimate the average velocity of the wheels.</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Between 83 and 86 seconds, what is the average acceleration of the wheels?</span></li>
</ol>
<span style="font-family: 'Trebuchet MS', sans-serif;"><br /></span>
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<span style="font-family: Trebuchet MS, sans-serif;"><br /></span>
<span style="font-family: Trebuchet MS, sans-serif;">A free YouTube video, <i style="font-weight: bold;"><a href="https://www.youtube.com/watch?v=OpbvHQiwaxk" target="_blank">Understanding the Motion of the Wheel</a></i></span><b style="font-family: 'Trebuchet MS', sans-serif;">, </b><span style="font-family: 'Trebuchet MS', sans-serif;">provides graphical analysis of video footage of a bicycle. Analysis of this video is available in the blog article <a href="http://scienceoftransportation.blogspot.com/2015/04/understanding-translational-and.html" target="_blank"><i><b>Understanding Translational and Rotational Motion from a Bicycle Wheel</b></i></a>.</span><br />
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<span style="font-family: 'Trebuchet MS', sans-serif;"><br /></span></div>
<span style="font-family: 'Trebuchet MS', sans-serif;">The following books from </span><a href="https://sites.google.com/site/schottenbauerpublishing/" style="font-family: 'Trebuchet MS', sans-serif;" target="_blank"><b>Schottenbauer Publishing</b></a><span style="font-family: 'Trebuchet MS', sans-serif;"> contain similar types of graphs and data pertaining to the science of wheels:</span><br />
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<span style="color: #990000; font-family: 'Trebuchet MS', sans-serif;"><b><i><a href="https://sites.google.com/site/schottenbauerpublishing/education/science" target="_blank">Graphs & Data for Science Lab: Multi-Volume Series</a></i></b></span><br />
<ul style="line-height: 1.4; list-style-image: initial; list-style-position: initial; margin: 0.5em 0px; padding: 0px 2.5em;">
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">The Science of the Wheel</span></li>
<ul>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">Volume 1: Roller Skates, Rollerblades, & Halls Carriage</span></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">Volume 2: Bicycle & Skateboard</span></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">Volume 3: Wheels & Axel</span></li>
</ul>
<li><span style="color: #0b5394; font-family: Trebuchet MS, sans-serif;">The Science of Exercise Equipment</span></li>
</ul>
<span style="color: #990000; font-family: 'Trebuchet MS', sans-serif;"><i><b><a href="https://sites.google.com/site/schottenbauerpublishing/education/science/anthologies" target="_blank">Anthologies of 28 Graphs</a></b></i></span><br />
<ul style="line-height: 1.4; list-style-image: initial; list-style-position: initial; margin: 0.5em 0px; padding: 0px 2.5em;"></ul>
<ul style="line-height: 1.4; list-style-image: initial; list-style-position: initial; margin: 0.5em 0px; padding: 0px 2.5em;">
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">The Science of Transportation</span></li>
</ul>
<b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;"><br /></b><b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;"><br /></b><b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;">Additional Information</b><br />
<div style="-webkit-text-stroke-width: 0px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px;">
<div>
<span style="font-family: Trebuchet MS, sans-serif;"><br /></span><a href="https://sites.google.com/site/schottenbauerpublishing/" target="_blank"><span style="font-family: Trebuchet MS, sans-serif;">Schottenbauer Publishing</span></a></div>
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<span style="font-family: Trebuchet MS, sans-serif;"><a href="https://sites.google.com/site/freeeducationresources/" target="_blank">Free Education Resources</a></span></div>
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Anonymoushttp://www.blogger.com/profile/06885964179429378710noreply@blogger.comtag:blogger.com,1999:blog-4508018522601063915.post-64241879333280563202015-07-01T10:22:00.002-07:002016-01-09T11:28:25.597-08:00What Toys Reveal about Air Travel<span style="font-family: Trebuchet MS, sans-serif;">Toys provide excellent models for learning about air travel. </span><span style="font-family: 'Trebuchet MS', sans-serif;">The following graphs, excerpted from the series </span><a href="http://www.amazon.com/s/ref=nb_sb_noss?url=search-alias%3Daps&field-keywords=flight+schottenbauer&rh=i%3Aaps%2Ck%3Aflight+schottenbauer" style="font-family: 'Trebuchet MS', sans-serif;" target="_blank">The Science of Flight</a><span style="font-family: 'Trebuchet MS', sans-serif;"> from </span><a href="https://sites.google.com/site/schottenbauerpublishing/" style="font-family: 'Trebuchet MS', sans-serif;" target="_blank">Schottenbauer Publishing</a><span style="font-family: 'Trebuchet MS', sans-serif;">, provide data on two types of flight.</span><br />
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<div class="separator" style="clear: both; text-align: center;">
<a href="http://3.bp.blogspot.com/-j8qUugMJRNo/VZL7o19OfBI/AAAAAAAAHKs/mr3WF-3Sy-Q/s1600/Slide2.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Trebuchet MS, sans-serif;"><img border="0" height="300" src="http://3.bp.blogspot.com/-j8qUugMJRNo/VZL7o19OfBI/AAAAAAAAHKs/mr3WF-3Sy-Q/s400/Slide2.JPG" width="400" /></span></a></div>
<span style="font-family: Trebuchet MS, sans-serif;"><br />
Discussion Questions</span><br />
<ol>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the maximum height of the air rocket?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the total time of flight?</span></li>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">What is the angle of the rocket before launch?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What occurs at the end of the trajectory?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Estimate the speed immediately after launch.</span></li>
</ol>
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<span style="font-family: Trebuchet MS, sans-serif;"><br /></span></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="http://1.bp.blogspot.com/-1vnUtBSozxA/VZL7k_vnRiI/AAAAAAAAHKE/NyrnfPZSefc/s1600/Slide1.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Trebuchet MS, sans-serif;"><img border="0" height="300" src="http://1.bp.blogspot.com/-1vnUtBSozxA/VZL7k_vnRiI/AAAAAAAAHKE/NyrnfPZSefc/s400/Slide1.JPG" width="400" /></span></a></div>
<span style="font-family: Trebuchet MS, sans-serif;"><br />
</span><br />
<span style="font-family: Trebuchet MS, sans-serif;">Discussion Questions</span><br />
<ol>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the maximum height of the plastic bag? The minimum height?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the average speed of descent?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">On the same graph, sketch the trajectory of a ball falling from the same height.</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Estimate the force of air resistance per unit surface area.</span></li>
</ol>
<br />
<span style="font-family: 'Trebuchet MS', sans-serif;">The following books from </span><a href="https://sites.google.com/site/schottenbauerpublishing/" style="font-family: 'Trebuchet MS', sans-serif;" target="_blank">Schottenbauer Publishing</a><span style="font-family: 'Trebuchet MS', sans-serif;"> contain similar types of graphs and data pertaining to the science of air travel:</span><br />
<div class="separator" style="clear: both;">
<br /></div>
<span style="color: #990000; font-family: 'Trebuchet MS', sans-serif;"><b><i><a href="https://sites.google.com/site/schottenbauerpublishing/education/science" target="_blank">Graphs & Data for Science Lab: Multi-Volume Series</a></i></b></span><br />
<ul style="line-height: 1.4; list-style-image: initial; list-style-position: initial; margin: 0.5em 0px; padding: 0px 2.5em;">
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">The Science of Flight</span></li>
<li><span style="color: #0b5394; font-family: Trebuchet MS, sans-serif;"><span style="line-height: 22.3999996185303px;">The Science of Archery & Shooting Sports</span></span></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">The Science of Balls</span></li>
<ul style="line-height: 1.4; list-style: disc; margin: 0.5em 0px; padding: 0px 2.5em;">
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif; line-height: 1.4;">Sampler Edition: 24 Sports Balls Bouncing, Rolling, & Flying</span></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif; line-height: 1.4;">Volumes 3, 6, & 7</span></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">Volume 8: Assorted Balls</span></li>
</ul>
<li><span style="color: #0b5394; font-family: Trebuchet MS, sans-serif;"><span style="line-height: 22.3999996185303px;">The Science of Baseball</span></span></li>
<li><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif; line-height: 1.4;">Gravity, Springs, & Collisions: Graphs of Classical Physics Experiments</span></li>
</ul>
<span style="color: #990000; font-family: 'Trebuchet MS', sans-serif;"><i><b><a href="https://sites.google.com/site/schottenbauerpublishing/education/science/anthologies" target="_blank">Anthologies of 28 Graphs</a></b></i></span><br />
<ul style="line-height: 1.4; list-style-image: initial; list-style-position: initial; margin: 0.5em 0px; padding: 0px 2.5em;"></ul>
<ul style="line-height: 1.4; list-style-image: initial; list-style-position: initial; margin: 0.5em 0px; padding: 0px 2.5em;">
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">The Science of Transportation</span></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">The Science of Ball Sports</span></li>
</ul>
<b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;"><br /></b><b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;"><br /></b><b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;">Additional Information</b><br />
<div style="-webkit-text-stroke-width: 0px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px;">
<div>
<span style="font-family: Trebuchet MS, sans-serif;"><br /></span><a href="https://sites.google.com/site/schottenbauerpublishing/" target="_blank"><span style="font-family: Trebuchet MS, sans-serif;">Schottenbauer Publishing</span></a></div>
<div style="margin: 0px;">
<br />
<span style="font-family: Trebuchet MS, sans-serif;"><a href="https://sites.google.com/site/freeeducationresources/" target="_blank">Free Education Resources</a></span></div>
</div>
Anonymoushttp://www.blogger.com/profile/06885964179429378710noreply@blogger.comtag:blogger.com,1999:blog-4508018522601063915.post-67340787999664304842015-07-01T10:01:00.000-07:002016-01-09T11:28:17.982-08:00Learning Physics & Math from Toy Trains<span style="font-family: Trebuchet MS, sans-serif;">In the USA, many children have played with either a hand-powered or electric train. With a bit of scientific equipment, toy trains are interesting tools for learning science and math. The following graphs, excerpted from the series <a href="http://www.amazon.com/s/ref=nb_sb_noss?url=search-alias%3Daps&field-keywords=trains+schottenbauer" target="_blank">The Science of Trains</a> from <a href="https://sites.google.com/site/schottenbauerpublishing/" target="_blank">Schottenbauer Publishing</a>, provide data from several toy trains. </span><span style="font-family: Trebuchet MS, sans-serif;"><br />
</span><br />
<div class="separator" style="clear: both; text-align: center;">
<span style="font-family: Trebuchet MS, sans-serif; margin-left: 1em; margin-right: 1em;"><a href="http://4.bp.blogspot.com/-3lebofFr8eI/VZL7cnzfHoI/AAAAAAAAHJc/EtCYWiWVz2g/s1600/Slide3.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="300" src="http://4.bp.blogspot.com/-3lebofFr8eI/VZL7cnzfHoI/AAAAAAAAHJc/EtCYWiWVz2g/s400/Slide3.JPG" width="400" /></a></span></div>
<div class="separator" style="clear: both; text-align: center;">
<br /></div>
<div class="separator" style="clear: both; text-align: left;">
<span style="font-family: Trebuchet MS, sans-serif;">Discussion Questions</span></div>
<div class="separator" style="clear: both; text-align: left;">
</div>
<ol>
<li><span style="font-family: Trebuchet MS, sans-serif;">What are the minimum and maximum values of each variable?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Draw the trajectory of the train, marking its position every half second with a label.</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the absolute distance the train travels on the track?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the average speed of the train?</span></li>
</ol>
<span style="font-family: Trebuchet MS, sans-serif;">
<br />
</span><br />
<div class="separator" style="clear: both; text-align: center;">
<a href="http://1.bp.blogspot.com/-WWNQIHy_PEo/VZL7Z8nl5JI/AAAAAAAAHI0/K9BOq9uTu60/s1600/Slide2.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Trebuchet MS, sans-serif;"><img border="0" height="300" src="http://1.bp.blogspot.com/-WWNQIHy_PEo/VZL7Z8nl5JI/AAAAAAAAHI0/K9BOq9uTu60/s400/Slide2.JPG" width="400" /></span></a></div>
<div class="separator" style="clear: both;">
<br /></div>
<div class="separator" style="clear: both;">
<span style="font-family: Trebuchet MS, sans-serif;">Discussion Questions</span></div>
<div class="separator" style="clear: both;">
</div>
<ol>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the average current while the power is on?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the average electric potential while the power is on?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the average real power while the current is on? The potential power</span><span style="font-family: Trebuchet MS, sans-serif;">?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">When the power is turned on, how much time is required to reach the maximum values?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the electrical resistance in this example?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What might be the effect of adding or subtracting cars to the train? Adding or subtracting weight to the train?</span></li>
</ol>
<div>
<span style="font-family: Trebuchet MS, sans-serif;"><br /></span></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="http://3.bp.blogspot.com/-2R4MA3-L3xI/VZL7R4Vx3eI/AAAAAAAAHIM/YVKsAKRIyTw/s1600/Slide1.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="300" src="http://3.bp.blogspot.com/-2R4MA3-L3xI/VZL7R4Vx3eI/AAAAAAAAHIM/YVKsAKRIyTw/s400/Slide1.JPG" width="400" /></a></div>
<div>
<span style="font-family: Trebuchet MS, sans-serif;"><br /></span></div>
<div>
<span style="font-family: 'Trebuchet MS', sans-serif;">Discussion Questions</span></div>
<div class="separator" style="clear: both;">
</div>
<ol>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the maximum force required to pull the train?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the average force required to pull the train?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">How much work is exerted while pulling the train?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">At what point in time does the train begin to move? (Hint: The accelerometer, measuring acceleration and Force 2, is on the train.)</span></li>
</ol>
<div>
<span style="font-family: Trebuchet MS, sans-serif;"><br /></span>
<span style="font-family: 'Trebuchet MS', sans-serif;">The following books from </span><a href="https://sites.google.com/site/schottenbauerpublishing/" style="font-family: 'Trebuchet MS', sans-serif;" target="_blank">Schottenbauer Publishing</a><span style="font-family: 'Trebuchet MS', sans-serif;"> contain similar types of graphs and data pertaining to the science of trains:</span><br />
<div class="separator" style="clear: both;">
<br /></div>
<span style="color: #990000; font-family: 'Trebuchet MS', sans-serif;"><b><i><a href="https://sites.google.com/site/schottenbauerpublishing/education/science" target="_blank">Graphs & Data for Science Lab: Multi-Volume Series</a></i></b></span><br />
<ul style="line-height: 1.4; list-style-image: initial; list-style-position: initial; margin: 0.5em 0px; padding: 0px 2.5em;">
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">The Science of Trains</span></li>
<ul style="line-height: 1.4; list-style: disc; margin: 0.5em 0px; padding: 0px 2.5em;">
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">Volume 1: Force & Acceleration</span></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">Volume 2: Electricity & Magnetism, Video Analysis</span></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">Volume 3: Video Analysis</span></li>
</ul>
</ul>
<span style="color: #990000; font-family: 'Trebuchet MS', sans-serif;"><i><b><a href="https://sites.google.com/site/schottenbauerpublishing/education/science/anthologies" target="_blank">Anthologies of 28 Graphs</a></b></i></span><br />
<ul style="line-height: 1.4; list-style-image: initial; list-style-position: initial; margin: 0.5em 0px; padding: 0px 2.5em;"></ul>
<ul style="line-height: 1.4; list-style-image: initial; list-style-position: initial; margin: 0.5em 0px; padding: 0px 2.5em;">
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">The Science of Transportation</span></li>
</ul>
<b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;"><br /></b><b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;"><br /></b><b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;">Additional Information</b><br />
<div style="-webkit-text-stroke-width: 0px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px;">
<div>
<span style="font-family: Trebuchet MS, sans-serif;"><br /></span><a href="https://sites.google.com/site/schottenbauerpublishing/" target="_blank"><span style="font-family: Trebuchet MS, sans-serif;">Schottenbauer Publishing</span></a></div>
<div style="margin: 0px;">
<br />
<span style="font-family: Trebuchet MS, sans-serif;"><a href="https://sites.google.com/site/freeeducationresources/" target="_blank">Free Education Resources</a></span></div>
</div>
</div>
Anonymoushttp://www.blogger.com/profile/06885964179429378710noreply@blogger.comtag:blogger.com,1999:blog-4508018522601063915.post-76616931912124015782015-04-26T05:42:00.000-07:002016-01-09T11:28:07.746-08:00Trajectories in the Classroom: Learning from Toy Cars<span style="font-family: Trebuchet MS, sans-serif;">The most basic education in classical physics requires an understanding of one-dimensional and two-dimensional motion. These can be illustrated and analyzed through a variety of graphs. </span><br />
<span style="font-family: Trebuchet MS, sans-serif;"><br /></span>
<span style="font-family: Trebuchet MS, sans-serif;">The topic of transportation is ideal for studying trajectory. Basic physics equations pertain to all types of transportation. </span><br />
<span style="font-family: Trebuchet MS, sans-serif;"><br /></span>
<span style="font-family: Trebuchet MS, sans-serif;">Below are two examples of trajectories, the first modeled by a radio-controlled toy SUV and the second by a radio-controlled toy car. These graphs are excerpted from <b><i><a href="http://www.amazon.com/s/ref=nb_sb_noss?url=search-alias%3Daps&field-keywords=cars+schottenbauer&rh=i%3Aaps%2Ck%3Acars+schottenbauer" target="_blank">The Science of Cars: Volume 3</a></i></b> from <a href="https://sites.google.com/site/schottenbauerpublishing/" target="_blank">Schottenbauer Publishing</a>.</span><br />
<span style="font-family: Trebuchet MS, sans-serif;"><br /></span>
<br />
<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjk3lNZg0wStmhsA8AKXX0qRYNGQM0E7qaCk42t-B3mwj4uoveoQzuU76PQEQ9A9Z_1YoVW0atGN762noAUyZW5FA04F8m0mtMZYdojsWUvVuT04Plu7vrbS159rsXhwsYQXMGpRPRDqqgp/s1600/Science+of+Transportation.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjk3lNZg0wStmhsA8AKXX0qRYNGQM0E7qaCk42t-B3mwj4uoveoQzuU76PQEQ9A9Z_1YoVW0atGN762noAUyZW5FA04F8m0mtMZYdojsWUvVuT04Plu7vrbS159rsXhwsYQXMGpRPRDqqgp/s1600/Science+of+Transportation.jpg" width="480" /></a></div>
<span style="font-family: Trebuchet MS, sans-serif;"><br /></span>
<span style="font-family: Trebuchet MS, sans-serif;"><b><u>Discussion Questions</u></b></span><br />
<ol>
<li><span style="font-family: Trebuchet MS, sans-serif;">In how many dimensions does the SUV move? a) 1, b) 2, c) 3.</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the total distance the SUV moves? </span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the average velocity of the SUV?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the average acceleration of the SUV?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">In how many dimensions does the car move? </span><span style="font-family: 'Trebuchet MS', sans-serif;">a) 1, b) 2, c) 3.</span></li>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">What is the total distance the car moves? </span></li>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">What is the average velocity of the car?</span></li>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">What is the average acceleration of the car?</span></li>
</ol>
<b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;"><br /></b><b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;"><br /></b><b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;">Additional Information</b><br />
<div style="-webkit-text-stroke-width: 0px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px;">
<div>
<span style="font-family: Trebuchet MS, sans-serif;"><br /></span><a href="https://sites.google.com/site/schottenbauerpublishing/" target="_blank"><span style="font-family: Trebuchet MS, sans-serif;">Schottenbauer Publishing</span></a></div>
<div style="margin: 0px;">
<br />
<span style="font-family: Trebuchet MS, sans-serif;"><a href="https://sites.google.com/site/freeeducationresources/" target="_blank">Free Education Resources</a></span></div>
</div>
Anonymoushttp://www.blogger.com/profile/06885964179429378710noreply@blogger.comtag:blogger.com,1999:blog-4508018522601063915.post-20171887312442506232015-04-24T05:35:00.001-07:002016-01-09T11:27:58.619-08:00The Hard Truth Regarding Gravity and Flight<span style="font-family: Trebuchet MS, sans-serif;">In physical science and physics class, students learn that all objects fall at the same rate due to gravity. When learning that force equals mass times acceleration (F = ma), many students may question the assertion, due to many apparent contradictions. Here are a few:</span><br />
<div>
<ul>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">Why does a leaf fall slowly, while a ball falls quickly?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Why does a parachute slow the rate of descent?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Why do space rockets not fall back to earth when the engines stop?</span></li>
</ul>
<div>
<span style="font-family: Trebuchet MS, sans-serif;">Although there is no data about space travel in the book series <b><a href="http://www.amazon.com/s/ref=nb_sb_noss?url=search-alias%3Daps&field-keywords=flight+schottenbauer" target="_blank"><i>Soar! The Science of Flight</i></a></b>, there are plenty of graphs on the motion of objects moving in the lab:</span></div>
<div>
<span style="font-family: Trebuchet MS, sans-serif;"><br /></span></div>
<div>
<span style="font-family: Trebuchet MS, sans-serif;"><b>Volume 1</b></span></div>
<div>
<ul>
<li><span style="font-family: Trebuchet MS, sans-serif;">String Trolley</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Umbrella</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Plastic Bag</span></li>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">Ball</span></li>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">Pen</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Yardstick</span></li>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">Paper Airplanes</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Radio-Controlled Helicopter</span></li>
</ul>
<div>
<span style="font-family: Trebuchet MS, sans-serif;"><b>Volume 2</b></span></div>
<ul>
<li><span style="font-family: Trebuchet MS, sans-serif;">Air Rocket</span></li>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">Parachute</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Glider</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Kite</span></li>
</ul>
</div>
<div>
<span style="font-family: Trebuchet MS, sans-serif;"><br /></span>
<span style="font-family: Trebuchet MS, sans-serif;">By comparing graphs of motion, students can estimate the effects of air resistance on various types of falling objects. In addition, direct measurement of force by an accelerometer are provided in some graphs within each book above, showing the acceleration due to gravity versus acceleration which describes changes in motion.</span></div>
<div>
<br /></div>
</div>
<div>
<span style="font-family: 'Trebuchet MS', sans-serif;">The following books from </span><a href="https://sites.google.com/site/schottenbauerpublishing/" style="font-family: 'Trebuchet MS', sans-serif;" target="_blank">Schottenbauer Publishing</a><span style="font-family: 'Trebuchet MS', sans-serif;"> contain graphs and data pertaining to the science of falling or flying objects:</span></div>
<div>
<div class="separator" style="clear: both;">
<br /></div>
<span style="color: #990000; font-family: 'Trebuchet MS', sans-serif;"><b><i><a href="https://sites.google.com/site/schottenbauerpublishing/education/science" target="_blank">Graphs & Data for Science Lab: Multi-Volume Series</a></i></b></span><br />
<ul style="line-height: 1.4; list-style-image: initial; list-style-position: initial; margin: 0.5em 0px; padding: 0px 2.5em;">
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">The Science of Flight</span></li>
<li><span style="color: #0b5394; font-family: Trebuchet MS, sans-serif;"><span style="line-height: 22.3999996185303px;">The Science of Archery & Shooting Sports</span></span></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">The Science of Balls</span></li>
<ul style="line-height: 1.4; list-style: disc; margin: 0.5em 0px; padding: 0px 2.5em;">
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif; line-height: 1.4;">Sampler Edition: 24 Sports Balls Bouncing, Rolling, & Flying</span></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif; line-height: 1.4;">Volumes 3, 6, & 7</span></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">Volume 8: Assorted Balls</span></li>
</ul>
<li><span style="color: #0b5394; font-family: Trebuchet MS, sans-serif;"><span style="line-height: 22.3999996185303px;">The Science of Baseball</span></span></li>
<li><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif; line-height: 1.4;">Gravity, Springs, & Collisions: Graphs of Classical Physics Experiments</span></li>
</ul>
<span style="color: #990000; font-family: 'Trebuchet MS', sans-serif;"><i><b><a href="https://sites.google.com/site/schottenbauerpublishing/education/science/anthologies" target="_blank">Anthologies of 28 Graphs</a></b></i></span><br />
<ul style="line-height: 1.4; list-style-image: initial; list-style-position: initial; margin: 0.5em 0px; padding: 0px 2.5em;"></ul>
<ul style="line-height: 1.4; list-style-image: initial; list-style-position: initial; margin: 0.5em 0px; padding: 0px 2.5em;">
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">The Science of Transportation</span></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">The Science of Ball Sports</span></li>
</ul>
<b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;"><br /></b><b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;"><br /></b><b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;">Additional Information</b><br />
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<span style="font-family: Trebuchet MS, sans-serif;"><a href="https://sites.google.com/site/freeeducationresources/" target="_blank">Free Education Resources</a></span></div>
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Anonymoushttp://www.blogger.com/profile/06885964179429378710noreply@blogger.comtag:blogger.com,1999:blog-4508018522601063915.post-52992313377851398742015-04-10T06:22:00.000-07:002016-01-09T11:27:51.337-08:00Boating in the Lab and on Natural Waterways<span style="font-family: Trebuchet MS, sans-serif;">Transportation in real life often occurs in conditions which are not ideal. Laboratory studies initiated in traditional classrooms often simulate simple conditions, leaving the more complicated reality for advanced graduate studies and specialty laboratory research.</span><br />
<span style="font-family: Trebuchet MS, sans-serif;"><br /></span>
<span style="font-family: Trebuchet MS, sans-serif;">What are some of the differences between laboratory research and real conditions for transportation? The graphs below, excerpted from <i style="font-weight: bold;"><a href="http://www.amazon.com/s/ref=nb_sb_noss?url=search-alias%3Daps&field-keywords=boating+schottenbauer&rh=i%3Aaps%2Ck%3Aboating+schottenbauer" target="_blank">The Science of Floating & Boating: Volume 3</a> </i>from <b><a href="https://sites.google.com/site/schottenbauerpublishing/" target="_blank">Schottenbauer Publishing</a></b>, show the differences between a ping pong ball floating in laboratory conditions and in a natural (outdoor) reservoir.</span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhR8OLykv1qjQb085ZfbjLCFj6XclNqhhpiSplw1Gvc4RLdcxf-McxkG-hkwRmjyIBmUV5rT3ECb-_Uf9kDmzvDqeQ9QkyM02XqGT98Tv90hX5VEH9doQSiCK5IfDoAr6cDFlQQLbj5OPYZ/s1600/Slide2.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhR8OLykv1qjQb085ZfbjLCFj6XclNqhhpiSplw1Gvc4RLdcxf-McxkG-hkwRmjyIBmUV5rT3ECb-_Uf9kDmzvDqeQ9QkyM02XqGT98Tv90hX5VEH9doQSiCK5IfDoAr6cDFlQQLbj5OPYZ/s1600/Slide2.JPG" width="400" /></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi5uw4mxEbpUEcd_FN7phhUMZalYHxHm2sa0-tY8Lv8wds0L7auKCqRrya_7x9FhjPCwrfs3XqhIbc0ag5mZw0pZb6HHTBVVAWbNTYJXPO2VLRgKxyaDvHaFbZkVxUBfYCjyrJfB83RdhN3/s1600/Slide2.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi5uw4mxEbpUEcd_FN7phhUMZalYHxHm2sa0-tY8Lv8wds0L7auKCqRrya_7x9FhjPCwrfs3XqhIbc0ag5mZw0pZb6HHTBVVAWbNTYJXPO2VLRgKxyaDvHaFbZkVxUBfYCjyrJfB83RdhN3/s1600/Slide2.JPG" width="400" /></a></div>
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<span style="font-family: Trebuchet MS, sans-serif;"><b>Discussion Questions</b></span><br />
<ol>
<li><span style="font-family: Trebuchet MS, sans-serif;">Which graph shows a sine wave? </span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Which graph shows chaotic dynamics?</span></li>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">In Graph 1, the waves were most likely created by: a) an object moving up and down at a regular frequency, b) natural wind? </span></li>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">In Graph 2, the waves were most likely created by: a) natural wind, b) a boat on the water? </span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Describe the range of each graph, including the minimum and maximum of each line in each graph. </span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">Which graph demonstrates a larger variation (or order of magnitude) in motion? Why? </span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">On a separate piece of paper, draw the location of the ball as it moves in Graph 1. Include maximum and minimum points. </span><span style="font-family: 'Trebuchet MS', sans-serif;">What is the maximum physical distance moved between a consecutive trough and crest?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">On a separate piece of paper, draw the location of the ball as it moves in Graph 2. Include at least 10 points, including maximum and minimum points on each line in the graph. </span><span style="font-family: 'Trebuchet MS', sans-serif;">What is the maximum physical distance moved between a consecutive trough and crest?</span></li>
</ol>
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<span style="font-family: Trebuchet MS, sans-serif;"><br /></span><span style="font-family: 'Trebuchet MS', sans-serif;">The following books from </span><a href="https://sites.google.com/site/schottenbauerpublishing/" style="font-family: 'Trebuchet MS', sans-serif;" target="_blank">Schottenbauer Publishing</a><span style="font-family: 'Trebuchet MS', sans-serif;"> contain similar types of graphs and data pertaining to the science of fluid dynamics, water, and/or boats:</span><br />
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<span style="color: #990000; font-family: 'Trebuchet MS', sans-serif;"><b><i><a href="https://sites.google.com/site/schottenbauerpublishing/education/science" target="_blank">Graphs & Data for Science Lab: Multi-Volume Series</a></i></b></span><br />
<ul style="line-height: 1.4; list-style-image: initial; list-style-position: initial; margin: 0.5em 0px; padding: 0px 2.5em;">
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">The Science of Floating & Boating</span></li>
<ul style="line-height: 1.4; list-style: disc; margin: 0.5em 0px; padding: 0px 2.5em;">
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">Volume 1: Force & Acceleration</span></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">Volume 2: Force & Acceleration</span></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">Volume 3: Video Analysis</span></li>
</ul>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">Fluid Dynamics & The Science of Natural Waterways</span></li>
<ul style="line-height: 1.4; list-style: disc; margin: 0.5em 0px; padding: 0px 2.5em;">
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">Volume 1: Water Flow Meter & Video Analysis</span></li>
</ul>
</ul>
<span style="color: #990000; font-family: 'Trebuchet MS', sans-serif;"><i><b><a href="https://sites.google.com/site/schottenbauerpublishing/education/science/anthologies" target="_blank">Anthologies of 28 Graphs</a></b></i></span><br />
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<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">The Science of Transportation</span></li>
</ul>
<b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;"><br /></b><b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;"><br /></b><b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;">Additional Information</b><br />
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Anonymoushttp://www.blogger.com/profile/06885964179429378710noreply@blogger.comtag:blogger.com,1999:blog-4508018522601063915.post-80653819505428852972015-04-09T10:27:00.000-07:002016-01-09T11:27:42.488-08:00Understanding Translational and Rotational Motion from a Bicycle Wheel<span style="font-family: Trebuchet MS, sans-serif;">Bicycles are wonderful teaching tools, because they demonstrate the physics of both translational and rotational motion. The free YouTube video, <i style="font-weight: bold;"><a href="https://www.youtube.com/watch?v=OpbvHQiwaxk" target="_blank">Understanding the Motion of the Wheel</a></i> </span><span style="font-family: 'Trebuchet MS', sans-serif;">from </span><b style="font-family: 'Trebuchet MS', sans-serif;"><a href="https://sites.google.com/site/schottenbauerpublishing/" style="font-family: 'Trebuchet MS', sans-serif;" target="_blank">Schottenbauer Publishing</a>, </b><span style="font-family: 'Trebuchet MS', sans-serif;">provides graphical analysis of video footage. In the video, spatial analysis of motion (e.g., what does the motion look like to a viewer) is compared to graphical analysis of motion (e.g., what does the motion look like in a graph). This video can supplement traditional lectures on the science of basic motion.</span><br />
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<span style="font-family: Trebuchet MS, sans-serif; font-size: large;">Understanding the Motion of the Wheel</span></div>
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<span style="font-family: Trebuchet MS, sans-serif;">(Free YouTube Video)</span></div>
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<iframe allowfullscreen="" class="YOUTUBE-iframe-video" data-thumbnail-src="https://i.ytimg.com/vi/OpbvHQiwaxk/0.jpg" frameborder="0" height="266" src="http://www.youtube.com/embed/OpbvHQiwaxk?feature=player_embedded" width="320"></iframe></div>
<span style="font-family: Trebuchet MS, sans-serif;"><br /></span><span style="font-family: Trebuchet MS, sans-serif;"><br /></span><span style="font-family: Trebuchet MS, sans-serif;">The four sets of pictures below are excerpted from the video.</span><br />
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<span style="font-family: Trebuchet MS, sans-serif;">Axis at Point 1, Time = 0</span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjEw20YNM_k9AJZ0t4Z0VwhvYrBQOzfMq31w6UJDccRyCUDzLaiJrce-Oib5d8pLVn6-RRYVi-MHcLgn_AXy5BTtpay65nqyjWny0m_IqDJCHlIvnbses_-Dj5Q6kGDzJ428USohpn9FJE/s1600/Slide2.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjEw20YNM_k9AJZ0t4Z0VwhvYrBQOzfMq31w6UJDccRyCUDzLaiJrce-Oib5d8pLVn6-RRYVi-MHcLgn_AXy5BTtpay65nqyjWny0m_IqDJCHlIvnbses_-Dj5Q6kGDzJ428USohpn9FJE/s1600/Slide2.JPG" width="320" /></a></div>
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<span style="font-family: Trebuchet MS, sans-serif; font-size: large;">Rotational Motion</span></div>
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<span style="font-family: Trebuchet MS, sans-serif; font-size: large;">Rotational Motion</span></div>
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<span style="font-family: Trebuchet MS, sans-serif;">Axis at Point 1, Time = 0</span> </div>
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<span style="font-family: Trebuchet MS, sans-serif; font-size: large;">Translational + Rotational Motion</span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjodycuS7D8bAnys9yUZS6z0abkh3XhB0Eku89WmG8smzLo0PrbeJ5EU8luH_MePXzmK-5uj7tu_x-u5SvGIKTrDVfoMXmLJd1v0v01syNzrarNmAfyxv74H5ctDEwsxtmXYacxpp-Mj2k/s1600/Slide12.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjodycuS7D8bAnys9yUZS6z0abkh3XhB0Eku89WmG8smzLo0PrbeJ5EU8luH_MePXzmK-5uj7tu_x-u5SvGIKTrDVfoMXmLJd1v0v01syNzrarNmAfyxv74H5ctDEwsxtmXYacxpp-Mj2k/s1600/Slide12.JPG" width="320" /></a></div>
<span style="font-family: Trebuchet MS, sans-serif;"><br /></span><span style="font-family: Trebuchet MS, sans-serif;"><br /><b><u>Discussion Questions</u></b></span><br />
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<ol>
<li><span style="font-family: Trebuchet MS, sans-serif;">In each excerpt from the video, what has been traced?</span></li>
<li><span style="font-family: Trebuchet MS, sans-serif;">What is the pattern of the foot pedal, in comparison to the wheel? Provide an answer for each of the four examples above.</span></li>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">On a separate piece of paper, draw each graph as it would appear if the motion had continued for another 20 seconds.</span></li>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">In the fourth graph, why is the red line slightly curved?</span></li>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">Redraw the fourth graph with a different origin of axis.</span></li>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">If you have learned wave functions in class, write an equation for each line shown above.</span></li>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">Name several other examples of translational and rotational motion from real-life transportation.</span></li>
<li><span style="font-family: 'Trebuchet MS', sans-serif;">Why is graphical analysis different than a video analysis?</span></li>
</ol>
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<span style="font-family: Trebuchet MS, sans-serif;"><br /></span><span style="font-family: 'Trebuchet MS', sans-serif;">The following books from </span><a href="https://sites.google.com/site/schottenbauerpublishing/" style="font-family: 'Trebuchet MS', sans-serif;" target="_blank">Schottenbauer Publishing</a><span style="font-family: 'Trebuchet MS', sans-serif;"> contain similar types of graphs and data pertaining to the science of bicycles:</span><br />
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<span style="color: #990000; font-family: 'Trebuchet MS', sans-serif;"><b><i><a href="https://sites.google.com/site/schottenbauerpublishing/education/science" target="_blank">Graphs & Data for Science Lab: Multi-Volume Series</a></i></b></span><br />
<ul style="line-height: 1.4; list-style-image: initial; list-style-position: initial; margin: 0.5em 0px; padding: 0px 2.5em;">
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">The Science of the Wheel</span></li>
<ul style="line-height: 1.4; list-style: disc; margin: 0.5em 0px; padding: 0px 2.5em;">
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">Volume 1: Force, Velocity, Acceleration</span></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">Volume 2: </span><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif; line-height: 22.3999996185303px;"><span style="line-height: 22.3999996185303px;">Video Analysis</span>, Force, Velocity, Acceleration</span></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">Volume 3: </span><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif; line-height: 22.3999996185303px;"><span style="line-height: 22.3999996185303px;">Video Analysis</span>, Force</span></li>
</ul>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">The Science of Exercise Equipment</span></li>
<ul style="line-height: 1.4; list-style: disc; margin: 0.5em 0px; padding: 0px 2.5em;">
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">Volume 1: </span><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif; line-height: 22.3999996185303px;">Force, Velocity, Acceleration</span></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">Volume 2: Biophysics</span></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">Volume 3: Video Analysis</span></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">Volume 4: Video Analysis</span></li>
</ul>
</ul>
<span style="color: #990000; font-family: 'Trebuchet MS', sans-serif;"><i><b><a href="https://sites.google.com/site/schottenbauerpublishing/education/science/anthologies" target="_blank">Anthologies of 28 Graphs</a></b></i></span><br />
<ul style="line-height: 1.4; list-style-image: initial; list-style-position: initial; margin: 0.5em 0px; padding: 0px 2.5em;"></ul>
<ul style="line-height: 1.4; list-style-image: initial; list-style-position: initial; margin: 0.5em 0px; padding: 0px 2.5em;">
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">The Science of Transportation</span></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">The Science of Physical Fitness</span></li>
<li style="border: none; margin: 0px 0px 0.25em; padding: 0px;"><span style="color: #0b5394; font-family: 'Trebuchet MS', sans-serif;">The Science of Summer Olympic Sports</span></li>
</ul>
<b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;"><br /></b><b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;"><br /></b><b style="font-family: 'Trebuchet MS', sans-serif; font-size: 15.4px; line-height: 21.56px;">Additional Information</b><br />
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<span style="font-family: Trebuchet MS, sans-serif;"><br /></span><a href="https://sites.google.com/site/schottenbauerpublishing/" target="_blank"><span style="font-family: Trebuchet MS, sans-serif;">Schottenbauer Publishing</span></a></div>
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Anonymoushttp://www.blogger.com/profile/06885964179429378710noreply@blogger.comtag:blogger.com,1999:blog-4508018522601063915.post-6783536730124308082015-04-08T11:48:00.004-07:002015-04-08T11:48:49.413-07:00New Book Series on The Science of Transportation<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEijDjVqoc-RFmsjgy5AxZi6Gttwk4MvYFsOIHqD3sG5a3XmycAF5UAp2nCu-ee58DzZsEJBUWJ0Vw3_nKrdxYHYKHqCez2-uezFqujKkfxnHV59wL3bPTphCHWxpTrPCpMkFHLFdUJVKMlA/s1600/BOOK+Cover+ANTHOLOGY+Transportation.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEijDjVqoc-RFmsjgy5AxZi6Gttwk4MvYFsOIHqD3sG5a3XmycAF5UAp2nCu-ee58DzZsEJBUWJ0Vw3_nKrdxYHYKHqCez2-uezFqujKkfxnHV59wL3bPTphCHWxpTrPCpMkFHLFdUJVKMlA/s1600/BOOK+Cover+ANTHOLOGY+Transportation.jpg" height="320" width="271" /></a></div>
<span style="font-family: Trebuchet MS, sans-serif;">Several new book series from <a href="https://sites.google.com/site/schottenbauerpublishing/" target="_blank">Schottenbauer Publishing</a> provide graphs and data for educational purposes on the science of popular forms of transportation, including boats, airplanes, cars, trains, bicycles, rollerskates, rollerblades, and skateboards. <span style="background-color: white; color: #222222; line-height: 18.4799995422363px;">Selections include several </span><a href="https://sites.google.com/site/schottenbauerpublishing/education/science" target="_blank">multi-volume series</a><span style="background-color: white; color: #222222; line-height: 18.4799995422363px;"> with graphs from specific transportation topics, as well as an </span><a href="https://sites.google.com/site/schottenbauerpublishing/education/science" target="_blank">anthology</a><span style="background-color: white; color: #222222; line-height: 18.4799995422363px;"> of 28 graphs demonstrating a variety of mathematical functions related to transportation! Plus, </span><a href="https://sites.google.com/site/schottenbauerpublishing/education/math" target="_blank">geometry workbooks</a><span style="background-color: white; color: #222222; line-height: 18.4799995422363px;"> contain action diagrams of cars and boats, providing exciting opportunities for elementary school children to learn about angles and measurement!</span></span><br />
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<span style="font-family: Trebuchet MS, sans-serif;"><br /></span>Anonymoushttp://www.blogger.com/profile/06885964179429378710noreply@blogger.com