Two children are riding animals on a spinning carousel. One child is riding a gi

Question

Two children are riding animals on a spinning carousel. One child is riding a giraffe near the outside edge of the carousel; the other child is riding a leopard halfway out from the center. Which of the following are true about the giraffe and the leopard? Mark all that apply. The giraffe has a larger angular velocity. The leopard has a larger angular velocity. The giraffe has a larger linear velocity. The leopard has a larger linear velocity. An astronaut is experimenting with changing his rotation rate as he floats freely on the space station. Assume ho starts his rotation while keeping his body straight with his arms down by his side. How can he increase his rotation rate? Mark all that Increase his moment of inertia by spreading his arms and legs wide. Decrease his moment of inertia by spreading his arms and logs wide. Increase his moment of inertia by bringing his arms and logs close to his Decrease his mom. of inertia by bringing his arms and logs close to his bo

Explanation / Answer

7) The angular velocity of the both objects will be same because during the movement they act like they are a part of carousel. So they move with the same angular velocity as carousel does.

The linear velocity v = radius x angular velocity so

The linear velocity of the giraffe is larger since the radius of its circular path is larger.

8) Decreasing his moment of inertia by bringing his arms and legs closer to the body

Moment of inertia = mass x (the distance in space the mass been spread over)2 if the distance is shorter the moment of inertia will be smaller. When the moment of inertia deceases the angular velocity will increase to conserve the angular momentum

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