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

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

Options:

Correct Answer: Increases

Solution:

As the child moves towards the center, the moment of inertia decreases, thus angular velocity increases to conserve angular momentum.

If a child sitting on a merry-go-round moves towards the center, what happens to the angular velocity of the merry-go-round?

If a child sitting on a merry-go-round moves towards the center, what happens to the angular velocity of the merry-go-round?

Step 1: Understand that a merry-go-round is spinning around a center point.
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 spread out the mass is.
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.