Send the link below via email or IMCopy
Present to your audienceStart remote presentation
- Invited audience members will follow you as you navigate and present
- People invited to a presentation do not need a Prezi account
- This link expires 10 minutes after you close the presentation
- A maximum of 30 users can follow your presentation
- Learn more about this feature in our knowledge base article
Do you really want to delete this prezi?
Neither you, nor the coeditors you shared it with will be able to recover it again.
Make your likes visible on Facebook?
You can change this under Settings & Account at any time.
Math Through Figure Skating
Transcript of Math Through Figure Skating
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 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