A child applies an $19\mathrm{.}0$ N force tangentially to the edge of the merry$-$go$-$round for $25\mathrm{.}0$ s$.$ If the merry$-$go$-$round is initially at rest, what is its angular speed after this $25\mathrm{.}0$ s interval?

Express your answer in radians per second.

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$=$

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rad$/$s

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Part B

How much work did the child do on the merry$-$go$-$round?

Express your answer in joules.

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W $=$

nothing

J

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Part C

What is the average power supplied by the child?

Express your answer in watts.