If a child sitting on a merry-go-round moves closer to the center, what happens

Practice Questions

Q1
If a child sitting on a merry-go-round moves closer to the center, what happens to the angular velocity of the merry-go-round?
  1. Increases
  2. Decreases
  3. Remains the same
  4. Becomes zero

Questions & Step-by-Step Solutions

If a child sitting on a merry-go-round moves closer to the center, what happens to the angular velocity of the merry-go-round?
  • Step 1: Understand what a merry-go-round is. It spins around a center point.
  • Step 2: Know that when something spins, it has a speed of rotation called angular velocity.
  • Step 3: Learn about the child moving on the merry-go-round. If the child moves closer to the center, they are changing their position.
  • Step 4: Realize that moving closer to the center means the child is reducing the distance from the center of the merry-go-round.
  • Step 5: Understand the concept of moment of inertia. It is a measure of how much mass is spread out from the center. When the child moves closer, the moment of inertia decreases.
  • Step 6: Remember the principle of conservation of angular momentum. It states that if no external forces act on a system, the total angular momentum remains constant.
  • Step 7: Since the moment of inertia decreases when the child moves closer, the angular velocity must increase to keep the angular momentum the same.
  • Angular Momentum Conservation – The principle that the total angular momentum of a system remains constant if no external torque acts on it.
  • Moment of Inertia – A measure of an object's resistance to changes in its rotation, which depends on the mass distribution relative to the axis of rotation.
  • Angular Velocity – The rate of rotation of an object around an axis, typically measured in radians per second.
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