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A playground merry-go-round, made in the shape of a solid disk, hasa diameter of 2.50 m and a mass of 350.0 kg. Two children, each ofmass 30.0 kg, sit on opposite sides at the edge of the platform.Approximate the children as point masses.

(a) What torque is required to bring the merry-go-round from rest to 25 rpm in 20.0 s?

(b) If two other bigger children are going to push on themerry-go-round rim to produce this acceleration, with what forcemagnitude must each child push? (You may assume that the biggerchildren are standing beside the merry-go-round and pushing on ittangentially.)

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