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A playground merry-go-round has a radius of 4.40 m and a moment of inertia of 25

ID: 2264275 • Letter: A

Question

A playground merry-go-round has a radius of 4.40m and a moment of inertia of 250kg?m2 and turns with negligible friction about a vertical axle through its center. Part A A child applies a 25.0N force tangentially to the edge of the merry-go-round for 22.0s . If the merry-go-round is initially at rest, what is its angular velocity after this 22.0s interval? Part B How much work did the child do on the merry-go-round? Part C What is the average power supplied by the child?
Part A A child applies a 25.0N force tangentially to the edge of the merry-go-round for 22.0s . If the merry-go-round is initially at rest, what is its angular velocity after this 22.0s interval? Part A A child applies a 25.0N force tangentially to the edge of the merry-go-round for 22.0s . If the merry-go-round is initially at rest, what is its angular velocity after this 22.0s interval? Part B How much work did the child do on the merry-go-round? Part C What is the average power supplied by the child?
Part B How much work did the child do on the merry-go-round? Part C What is the average power supplied by the child?
Part C What is the average power supplied by the child?

Explanation / Answer


We find an angular velocity of 9.68 rad/sec, a word done of 1171.28 J which represents and average power of 53.24 W.

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