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A child is sitting on a merry-go-round that is spinning. If the child moves towa

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Question: A child is sitting on a merry-go-round that is spinning. If the child moves towards the center, what happens to the angular velocity of the merry-go-round?

Options:

  1. Increases
  2. Decreases
  3. Remains the same
  4. Becomes zero

Correct Answer: Increases

Solution: 

As the child moves towards the center, the moment of inertia decreases, and to conserve angular momentum, the angular velocity must increase.

A child is sitting on a merry-go-round that is spinning. If the child moves towa

Practice Questions

Q1
A child is sitting on a merry-go-round that is spinning. If the child moves towards 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

A child is sitting on a merry-go-round that is spinning. If the child moves towards the center, what happens to the angular velocity of the merry-go-round?
Correct Answer: Angular velocity increases.
  • Step 1: Understand that the merry-go-round is spinning and has a certain speed called angular velocity.
  • Step 2: Know that the child sitting on the merry-go-round has mass and contributes to the overall mass distribution, which is called moment of inertia.
  • Step 3: When the child moves towards the center, they are reducing the distance from the center of the merry-go-round.
  • Step 4: Realize that moving towards the center decreases the moment of inertia because the mass is closer to the axis of rotation.
  • Step 5: Remember the principle of conservation of angular momentum, which states that if no external forces act on the system, the total angular momentum remains constant.
  • Step 6: Since the moment of inertia decreases when the child moves towards the center, the angular velocity must increase to keep the angular momentum constant.
  • Angular Momentum Conservation – The principle that the total angular momentum of a closed system remains constant if no external torques act 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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