The Geometry of Ice Skating

Geometry is essential for ice skating. Take a moment to write down a few ways in which geometry affects the precision of the sport. 

Discussion Questions

1. What data is necessary to collect in order to understand the role of geometry in figure skating, hockey, and speed skating? 
2. What spatial perspectives and/or mathematical planes are important for precision? 

The cover of The Geometry of Figure Skating, to the right above, features a skater in action. 

Discussion Questions

1. What angles can be measured on the diagram, in order to understand the accuracy of technique?  
2. Is any essential information missing from the picture? What is necessary in order to measure that information?

Geometry diagrams featuring ice skating are available in the following books from Schottenbauer Publishing:

Geometry Workbooks

• The Geometry of Figure Skating
• The Geometry of Winter Olympic Sports

Additional Information

Schottenbauer Publishing

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Comparing Ice Skating Equipment in the Lab

What types of measurements are ideal for understanding ice skating? Take a moment to write down a list of at least four types of data to collect and compare. What types of equipment are necessary to measure each type? What physics concepts are relevant?

Many types of interesting data are available for comparison in the book The Science of Ice Skating: Volume 1 (Extended Edition) from Schottenbauer Publishing. Data include position, velocity, acceleration, and force for the following equipment:

• Surface Types
• Ice
• Synthetic Ice
• Wet
• Dry
• Skate Types
• Bob Skates
• Child Double-Runner Skates
• Hockey Skates
• Youth
• Adult
• Figure Skates
• 2 Sizes
• 2 Types of Blades
• Blade Preparation
• Sharpened
• Unsharpened
• Skate Mass
• None
• Added 2.5 pounds of weight

Additional types of data include:

• Hockey Puck Motion
• Vertical Motions (Force)
• Stepping
• Jumping
• Skate Support for Ankles (Force)
• Ice Melting (Temperature)

Free sample graphs are available in a free pamphlet from the publisher's webpage.

Additional Information

Schottenbauer Publishing

Free Education Resources

Pucks & Balls: The Physics of Motion

How does a ice hockey puck compare to a field hockey ball? This question is highly relevant for ice hockey players, who are eager to keep in shape over the warm summer months. According to physics, balls do not act like pucks. The graphs below (Copyright 2014, All Rights Reserved), excerpted from the book series The Science of Hockey from Schottenbauer Publishing, show an official field hockey ball and an official ice hockey puck in motion.

Discussion Questions

1. What is the range of each variable in each graph? Include x, y, and t as variables in your analysis.
2. Use the information from the graph to draw the trajectory of the ball and the puck on separate pieces of paper. Include beginning and ending time points in your drawing.
3. Using the information from Questions 1 and 2, compare the graphs. What is different about the motion of the ball and the puck?
4. Approximately how much energy from the ball is lost due to friction? 
5. Approximately how much energy from the puck is lost due to friction? 

Additional free graphs are available in a free pamphlet from the publisher's webpage. 

The following books from Schottenbauer Publishing contain similar types of graphs and data pertaining to the science of ice skating, figure skating, and hockey:

Graphs & Data for Science Lab: Multi-Volume Series

• The Science of Ice Skating 
• Volume 1: Translational Motion
• Volume 2: Rotational Motion (Curves)
• Volume 3: Rotational Motion (Spins)
• Volume 4: Jumps
• Volume 5: Ice Hockey
• Volume 6: Biophysics
• Volume 7: Video Analysis
• Volume 8: Reference Manual
• The Science of Hockey
• Volume 1: Force, Acceleration, & Video Analysis of Pucks & Balls
• Volume 2: Force & Acceleration of Sticks, plus Biophysics
• Volume 3: Video Analysis of Ice, Field, & Street Hockey Sticks

Anthologies of 28 Graphs

• The Science of Figure Skating
• The Science of Ice Hockey
• The Science of Winter Olympic Sports

Additional Information

Schottenbauer Publishing

Free Education Resources