Math Through Figure Skating Sarah Kate Brown

Jessie Doyle Math is used in figure skating because of: An Overview -Angles of a skater and ice affect balance.

-Judges look for certain "angles" of body for each skill.

-"Triangle Rule" implies to keep hips low and make long strides for balance.

-Desired angle is 45 degrees for takeoff Angles Trig relationship:

you can find the horizontal and vertical velocities if you have the take off velocity and the angle

Vv= Vto sinΘ

Vh= Vto cosΘ

Geometrical and Trigonal Relations Momentum is how much force it takes to stop a moving object.

Angular momentum can apply to a body rotating around a fixed point and weight distribution along with mass around the center.

Center of gravity is when the mass is considered "concentrated".

Gravity changes height of a trick and how much "hang time" a skater has. Horizontal displacement= distance

Vertical displacement= height

Absence of vertical displacement means the skater is only going across the ice and never up.

Horizontal and Vertical Displacement A skater must know the exact timing to perform their jumps, leaps, turns, and routine. Using math, the skater figures out when to go and how fast their move needs to be.

Crossunders help the skater move quickly without falling in circles.

The greater the force, or push, off the ice is, the faster the skater's speed will be. Time and Speed Angles Parabolas Gravity Intertia Speed Timing Gravity http://btc.montana.edu/olympics/physbio/biomechanics/pm13.html Bibliography http://btc.montana.edu/olympics/physbio/biomechanics/pm01.html Velocity Acceleration Jumps have parabola shape

Gravity= only force acting Height and distance depend on:

takeoff velocity

takeoff angle

takeoff position http://isaacslom.wikispaces.com/the+inerta+of+figure+skating Inertia=spin

Inertia can increase if a skater tucks their arms close to their body and adds force to their toe pick.

By having extended arms, a skater would increase their radius and decrease velocity.

Tucked arms increases the rotational velocity by decreasing the radius.

The skater will keep spinning until an outside force acts upon them. In this case, it would be the friction of the skates on the ice. Inertia

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# Math Through Figure Skating

By: Sarah Kate Brown & Jessie Doyle

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