A figure skater pulls in her arms while spinning. What happens to her angular mo

Practice Questions

Q1
A figure skater pulls in her arms while spinning. What happens to her angular momentum?
  1. Increases
  2. Decreases
  3. Remains constant
  4. Becomes zero

Questions & Step-by-Step Solutions

A figure skater pulls in her arms while spinning. What happens to her angular momentum?
  • Step 1: Understand what angular momentum is. It is a measure of how much motion an object has while spinning.
  • Step 2: Know that angular momentum is conserved in a closed system, meaning it doesn't change unless an external force acts on it.
  • Step 3: When the figure skater pulls in her arms, she changes her shape but not her total angular momentum.
  • Step 4: Since she pulls her arms in, her moment of inertia decreases. Moment of inertia is how mass is distributed in relation to the axis of rotation.
  • Step 5: Because her moment of inertia decreases and angular momentum is conserved, her angular velocity must increase to keep the angular momentum constant.
  • Step 6: Therefore, as she pulls her arms in, she spins faster.
  • Conservation of Angular Momentum – Angular momentum of a system remains constant if no external torque acts on it.
  • Effect of Radius on Angular Velocity – When a figure skater pulls in her arms, she decreases her moment of inertia, which causes her angular velocity to increase to conserve angular momentum.
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