A dad pushes tangentially on a small hand$-$driven merry$-$go$-$round and is able to accelerate it from rest to a frequency of $16$ rpm in $13\mathrm{.}0$ s $.$ Assume the merry$-$goround is a uniform disk of radius $2\mathrm{.}5$ m and has a mass of $560$ kg $,$ and two children $($each with a mass of $25$ kg $)$ sit opposite each other on the edge.

Part A

Calculate the torque required to produce the acceleration, neglecting frictional torque.

Express your answer to two significant figures and include the appropriate units.

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Part B

What force is required at the edge?

Express your answer to two significant figures and include the appropriate units.

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