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

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Question: 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?

Options:

Correct Answer: Increases

Solution:

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

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?

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.