Chapter 13, Problem 39PQ

A parent exerts a torque on a merry-go-round at a park. The torque has a magnitude given by $\tau =32{\theta }^2+120\theta -145$, where the torque has units of newton meters when $\theta$ is in units of radians. a. How much work is performed by the torque as the merry-go-round rotates through 1.75 revolutions, beginning at ${\theta }_i=0$? b. If it takes the merry-go-round 4.51 s to go through the 1.75 revolutions, what is the power transferred by the parent to the ride?