Schottenbauer Publishing

Showing posts with label graph. Show all posts
Showing posts with label graph. Show all posts

Tuesday, November 24, 2015

Graphing Spins: A New Video

A new video from Schottenbauer Publishing analyzes four spins with graphs. These include three forward spins (centered, centered with step out, and traveling), and a back spin (centered). The video is available on YouTube.




Two graphs from the video are shown below:


Discussion Questions
  1. What body part is most likely traced in the video?
  2. Using a ruler, estimate the center of each spin on its graph.
  3. How many times does the skater revolve in the first graph? In the second graph?
  4. What would a traveling spin look like on a graph?

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

      Monday, November 3, 2014

      Skater in Motion: x-y Plots of Movement

      In elementary school, math students learn the graph-reading skills. How often do these same students enjoy applying math to real-life data? In books from Schottenbauer Publishing, students have the opportunity to decode graphs showing movement during popular sports.

      The graph below (Copyright 2014, All Rights Reserved), excerpted from the book series Glide, Spin, & Jump: The Science of Ice Skating from Schottenbauer Publishing, shows an ice skater in forward 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. In this sample, which leg is used for pushing off? Which leg moves forward first? 
      3. Use the information from the graph to draw the body in physical space, at a minimum of 4 time points.
      4. Is the right knee ever in front of the right hip? Is the right ankle ever in front of the right knee or right hip? Describe the sequence of motion.
      5. Is the left knee ever in front of the left hip? Is the left ankle ever in front of the left knee or left hip? Describe the sequence of motion.

      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

        In addition, the following books are suitable for younger children learning geometry:

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

        Thursday, October 2, 2014

        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

          Spinning on Ice

          Physics divides motion into two general types: translational (straight) motion and rotational (curved) motion. Whether it is a figure skater, hockey skater, or puck rotating on the ice, the same laws of physics apply. 

          The graph below (Copyright 2014, All Rights Reserved), excerpted from the book series Glide, Spin, & Jump: The Science of Ice Skating from Schottenbauer Publishing, shows a rod rotating around a central axis.




          Discussion Questions
          1. Describe the four variables contained in the graph. What is the range of each variable?
          2. How is position measured in the graph? What is the unit of measurement?
          3. How many times is force applied to the rod? 
          4. When force is applied, what happens to the rod?
          5. Why does the rod slow down, and motion stop?
          6. What is the definition of acceleration? 
          7. Why does acceleration change so much, when the velocity and position do not?


          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


            Tuesday, September 23, 2014

            Real Ice Skating Data from Child Double Runner Skates!

            Easy access to the science of ice skating is provided by several book series from Schottenbauer Publishing! Books contain graphs, data, and diagrams of ice skating, figure skating, and hockey.

            The graphs below are excerpted from Volume 1 of Glide, Spin, & Jump: The Science of Ice Skating, as well as a free pamphlet from the publisher. These graphs show a child's double-runner skate being pulled along a piece of real ice with a force meter, while position, velocity, and acceleration are measured by a motion detector from the back.






            Discussion Questions

            1. For each graph, describe the motion of the skate in words. 
            2. How far does the skate travel in each graph?
            3. What is the maximum force on the skate?
            4. Is the force on the skate similar to the forces incurred during real skating?
            5. From these two graphs, can you determine the mass of the skate?
            6. How much physical work is occurs during the movement of the skate? 
            7. In which graph is the friction greater?
            8. Can the friction be calculated from these graphs?
            9. How accurate are these graphs? What is the margin of error, if any?
            10. Are these graphs relevant for real skaters? If so, how? 

            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, Vol. 1-8
            • The Science of Hockey, Vol. 1-3
            Anthologies of 28 Graphs
              • The Science of Figure Skating
              • The Science of Ice Hockey
              • The Science of Winter Olympic Sports

              In addition, the following books are suitable for younger children learning geometry:

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