Three children are riding on the edge of a merry-go-round

Chapter 4, Problem 40PE

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QUESTION:

Three children are riding on the edge of a merry-go-round that is 100 kg, has a 1.60-m radius, and is spinning at 20.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the child who has a mass of 28.0 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm?

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QUESTION:

Three children are riding on the edge of a merry-go-round that is 100 kg, has a 1.60-m radius, and is spinning at 20.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the child who has a mass of 28.0 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm?

ANSWER:

Step-by-step solution Step 1 of 4 The external torque is not present, so according to the conservation of angular momentum. Here, is the initial moment of inertia of the system, is the moment of inertia of the system after a kid moves towards center, is the initial angular velocity of the merry-go-round and is the final angular velocity.

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