Science of Gymnastics Memorabilia

Celebrate sport science with memorabilia from Zazzle! Colorful graphs from Schottenbauer Publishing are featured on these mugs, magnets, keychains, & postcards. Direct links are included below:

     

A variety of other sport science collections are also available from Schottenbauer Publishing on Zazzle, which features regular sales on most items.  


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Schottenbauer Publishing 

Free Education Resources

Examining Periodicity with a Goniometer

Gymnastic routines involve many types of repetitive motions. In graphs, repetitive motions tend to appear as sine wave functions. Sometimes, multiple sine wave functions must be added, in order to create more complex graphs. A form of advanced mathematics called Fourier analysis allows scientists to analyze oscillation which is more complicated than a simple sine wave.

The following graph is excerpted from The Science of Gymnastics: Volume 2 from Schottenbauer Publishing.

Discussion Questions

1. What is the smallest angle of contraction of the arm? What is the largest angle?
2. Counting from the bottom of the first trough, what is the amplitude of the first oscillation? What is the amplitude of the second oscillation?
3. Counting from the bottom of the first trough, what is the wavelength of the first oscillation? What is the wavelength of the second oscillation?
4. In the first two oscillations, what is the average frequency of oscillation?
5. What occurs at the end of the graph?

Additional graphs of oscillatory motion in gymnastics are available in the same volume, The Science of Gymnastics: Volume 2 from Schottenbauer Publishing. Similar physics data is also available in Volume 2 of several other lab manual series, including The Science of Athletic Training, The Science of Exercise Equipment, The Science of Yoga, Pilates, & Ballet, and more.

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Schottenbauer Publishing

Free Education Resources

The Physics of Gymnastics: Pendulum Motion and Circles

Physics divides motion into two general types: translational (straight) motion and rotational (curved) motion. Two types of rotational motion are prevalent in gymnastics: pendulum motion (swinging) and rotation (circles). 

The graphs below, excerpted from the science lab manuals Gravity, Springs, & Collisions: Graphs of Classical Physics Experiments from Schottenbauer Publishing, show patterns of motion from pendulum motion and circular motion.

Discussion Questions

1. What variables are present in Graphs 1? In Graph 2? Is it possible to compare motion using these variables?
2. In which dimensions is there motion in the top graph? In the lower graph?
3. Qualitatively describe the motion contained in these two graphs. What are the similarities? What are the differences?
4. Which types of gymnastics moves involve pendulum motion? How are these moves different from the motion described in Graph 1? 
5. Which types of gymnastics moves involve circular motion? How are these moves different from the motion described in Graph 2?

Data such as those above can be obtained in several series of science and math books by M. Schottenbauer, Ph.D. The first set of books are multi-volume series of graphs. Selections from these lab manuals have also been collected into anthologies: 

Graphs & Data for Science Lab: Multi-Volume Series

• The Science of Gymnastics
• The Science of Athletic Training 
• The Science of Exercise Equipment 
• The Science of Yoga, Pilates, & Ballet 

Anthologies of 28 Graphs

• The Science of Gymnastics
• The Science of Summer Olympic Sports
• The Science of Physical Fitness
• The Science of Dance & Ballet
• The Science of Yoga

Young audiences may be interested in the following series of geometry workbooks on gymnastics and related topics:

Geometry Workbooks

• The Geometry of Gymnastics
• The Geometry of Summer Olympic Sports 
• The Geometry of Yoga
• The Geometry of Ballet

Additional Information

Schottenbauer Publishing

Free Education Resources

Unbeatable Specials

With Kindle Unlimited ($9.99/month) at Amazon.com, you can read all e-books from Schottenbauer Publishing for no extra charge! Amazon offers Free 30 Day Trials of Kindle Unlimited. With this deal, trial members can read all Schottenbauer Publishing e-books free! This includes all the geometry workbooks, plus "The World in a Graph," "Alphabets of the World," textbooks on the science of music, all the e-book puzzles, and the educational novels by M. Schottenbauer, Ph.D.