Standing on the edge of a rotating playground carousel, you take sight on the ce
ID: 1383509 • Letter: S
Question
Standing on the edge of a rotating playground carousel, you take sight on the center of the carousel and walk directly toward that position.
What happens to the rotational speed of the carousel as you walk? Choose the correct answer and explanation.
A)The energy of the angular motion of your body and the carousel together must be constant. You start out moving in a large circle (at the outer edge) and end up moving in a small circle (at the inner edge). By moving in toward the center of the carousel you have increased the moment of inertia of the system as a whole. The only way the energy can be constant is if the rotational velocity decreased. The rotational velocity must decrease.
B)The angular momentum of your body and the carousel together must be constant. You start out moving in a large circle (at the outer edge) and end up moving in a small circle (at the inner edge). By moving in toward the center of the carousel you have increased the moment of inertia of the system as a whole. The only way angular momentum can be constant is if the rotational velocity decreased. The rotational velocity must decrease.
A)The energy of the angular motion of your body and the carousel together must be constant. You start out moving in a large circle (at the outer edge) and end up moving in a small circle (at the inner edge). By moving in toward the center of the carousel you have increased the moment of inertia of the system as a whole. The only way the energy can be constant is if the rotational velocity decreased. The rotational velocity must decrease.
B)The angular momentum of your body and the carousel together must be constant. You start out moving in a large circle (at the outer edge) and end up moving in a small circle (at the inner edge). By moving in toward the center of the carousel you have increased the moment of inertia of the system as a whole. The only way angular momentum can be constant is if the rotational velocity decreased. The rotational velocity must decrease.
C)The energy of the angular motion of your body and the carousel together must be constant. You start out moving in a large circle (at the outer edge) and end up moving in a small circle (at the inner edge). By moving in toward the center of the carousel you have decreased the moment of inertia of the system as a whole. The only way the energy can be constant is if the rotational velocity increased. The rotational velocity must increase. D)The angular momentum of your body and the carousel together must be constant. You start out moving in a large circle (at the outer edge) and end up moving in a small circle (at the inner edge). By moving in toward the center of the carousel you have decreased the moment of inertia of the system as a whole. The only way angular momentum can be constant is if the rotational velocity increased. The rotational velocity must increase.Explanation / Answer
The angular momentum has to be constant, as no net force acts on the system.
This leaves either B or D.
You have DECREASED the moment of inertia by going into the center.
THUS, THE ANSWER IS OPTION D. [ANSWER]
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