A merry$-$go$-$round at a park is subject to a constant torque with a magnitude of

$620$ N $$ m

as a parent pushes the ride.

$($a$)$ How much work is performed by the torque as the merry$-$go$-$round rotates through $2\mathrm{.}05$ revolutions?

J

$($b$)$ If it takes the merry$-$go$-$round $4\mathrm{.}20$ s to go through the $2\mathrm{.}05$ revolutions, what is the power transferred by the parent to the ride?

W