A dad pushes tangentially on a small hand$-$driven merry$-$go$-$round and is able to accelerate it from rest to a frequency of $18$ rpm in $10\mathrm{.}0$ s $.$ Assume the merry$-$go$-$round is a uniform disk of radius $2\mathrm{.}8$ m and has a mass of $800$ 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 using two significant figures.

$\backslash (\backslash$tau$=\backslash )\backslash (\backslash$mathrm$\{$m$\}\backslash$cdot $\backslash$mathrm$\{$N$\}\backslash )$

Part B

What force is required at the edge?

Express your answer using two significant figures.