Schottenbauer Publishing

Showing posts with label transportation. Show all posts
Showing posts with label transportation. Show all posts

Friday, April 15, 2016

Effects of Waves in Water Transportation

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.

Now, consider the picture of water in a natural reservoir below.


Discussion Questions
  1. What does the picture show? 
  2. What is colliding with the water? 
  3. What are the effects of the collisions?
  4. How is the water moving in this picture?
  5. 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).
  6. 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.
  7. Estimate the absolute size of the height and width of the waves in millimeters.
  8. Do the waves have an additive effect? If so, show at least 2 examples on the picture.
  9. Do the waves have a cancelling effect? If so, show at least 2 examples on the picture.
  10. Would these waves affect the water transportation of humans or cargo? If so, how?
  11. 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? 
  12. 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.


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Wednesday, October 14, 2015

Friction & Motion

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.

The following graph, excerpted from Gravity, Springs, & Collisions: Volume 2 from Schottenbauer Publishing, shows a disk traveling on an air hockey table.



Discussion Questions
  1. How many collisions occur in the graph?
  2. 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. Number each segment of the journey.
  3. Make a table, listing each segment in one column. In the next column, describe whether the effects of friction are present (yes/no).
  4. How many collisions occur before the effects of friction are apparent?
  5. Calculate the average speed of the puck during each segment. Add these to the table from #3. 
  6. 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.
  7. In the final segment, what is the average kinetic energy of the puck?
  8. Why does the puck eventually stop? Draw a diagram of the side of the puck, showing theoretical initial and final conditions.


Over 8,000 graphs from Schottenbauer Publishing provide additional real-life topics for student learning, including sports, transportation, construction, environment, music, entertainment/toys, and general physics. 


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Sunday, April 26, 2015

Trajectories in the Classroom: Learning from Toy Cars

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. 

The topic of transportation is ideal for studying trajectory. Basic physics equations pertain to all types of transportation. 

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 The Science of Cars: Volume 3 from Schottenbauer Publishing.



Discussion Questions
  1. In how many dimensions does the SUV move? a) 1, b) 2, c) 3.
  2. What is the total distance the SUV moves? 
  3. What is the average velocity of the SUV?
  4. What is the average acceleration of the SUV?
  5. In how many dimensions does the car move? a) 1, b) 2, c) 3.
  6. What is the total distance the car moves? 
  7. What is the average velocity of the car?
  8. What is the average acceleration of the car?


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Wednesday, April 8, 2015

New Book Series on The Science of Transportation

Several new book series from Schottenbauer Publishing 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. Selections include several multi-volume series with graphs from specific transportation topics, as well as an anthology of 28 graphs demonstrating a variety of mathematical functions related to transportation! Plus, geometry workbooks contain action diagrams of cars and boats, providing exciting opportunities for elementary school children to learn about angles and measurement!

Books are available from CreateSpace wholesale, as well as AmazonBarnes & NobleBooks-a-Million, and other internet retailers!



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