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Repeating Patterns in Exercise Science

Repeating patterns are common both in math and in exercise science. Consider the following graphs, excerpted from the series The Science of Exercise Equipment from Schottenbauer Publishing:

__Discussion Questions__
- What type of motion is described the graph?
- What are the maximum and minimum x positions of the pedal? The y positions? Write these as coordinate pairs (x, y).
- Sketch the real motion of the pedal, indicating at least 8 equally-spaced points in time.
- What is the period (length) of the cycle?

__Discussion Questions__
- What type of motion is described the graph?
- What are the maximum and minimum angles of the arm?
- Sketch the real motion of the arm, indicating at least 8 equally-spaced points in time.
- What is the period (length) of one cycle?

__Discussion Questions__
- What phenomenon is described in the graph?
- What are the minimum and maximum values of potential?
- Is a cycle described in the graph? If so, describe the cycle in words, relating potential to exercise activity.
- What is the period (length) of one cycle?

__Discussion Questions__
- What phenomenon is described in the graph?
- What are the minimum and maximum values of flow rate?
- What is the average minimum value of flow rate? The average maximum value?
- Is a cycle described in the graph? If so, describe the cycle in words, relating flow rate to behavior.
- What is the period (length) of one cycle?

The following books from Schottenbauer Publishing contain a more extensive collection of graphs and data pertaining to the science of athletic training:

*Graphs & Data for Science Lab: Multi-Volume Series*
- The Science of the Athletic Training
- Volume 1: Force, Velocity, Acceleration
- Volume 2: Biophysics
- Volume 3: Video Analysis
- Volume 4: Video Analysis

- The Science of Exercise Equipment
- Volume 1: Force, Velocity, Acceleration
- Volume 2: Biophysics
- Volume 3: Video Analysis
- Volume 4: Video Analysis

- The Science of Gymnastics
- Volume 1: Force, Velocity, Acceleration
- Volume 2: Biophysics
- Volume 3: Video Analysis
- Volume 4: Video Analysis

- The Science of Yoga, Pilates, & Ballet
- Volume 1: Force, Velocity, Acceleration
- Volume 2: Biophysics
- Volume 3: Video Analysis
- Volume 4: Video Analysis

**Additional Information**