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

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Question: A child is sitting on a merry-go-round that is rotating. If the child moves towards the center, what happens to the rotational speed 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, causing the rotational speed to increase to conserve angular momentum.

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

Practice Questions

Q1
A child is sitting on a merry-go-round that is rotating. If the child moves towards the center, what happens to the rotational speed 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 rotating. If the child moves towards the center, what happens to the rotational speed of the merry-go-round?
Correct Answer: Rotational speed increases
  • Step 1: Understand that a merry-go-round is rotating and has a certain speed.
  • Step 2: Know that the child sitting on the merry-go-round has mass and contributes to the overall mass distribution.
  • Step 3: Recognize that 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, which is a measure of how mass is distributed relative to the rotation axis.
  • Step 5: Remember the principle of conservation of angular momentum, which states that if no external torque acts on a system, its angular momentum remains constant.
  • Step 6: Since the moment of inertia decreases when the child moves towards the center, the rotational speed 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.
  • Rotational Speed – The rate at which an object rotates, often measured in radians per second or revolutions per minute.
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