Question

A certain merry go round is accelerated uniformly from rest and attains an angular speed of 1.2 rad/s in the first 18 seconds.

Also given (if needed):

Net applied torque is 1200 Nm

Moment of inertia is 18181 kg•m^2

Kinetic Energy is 13090 J

Assuming friction is negligible, how much work does the motor have to do to accelerate the merry go round up to 1.2 rad/s? How much power does the motor have to generate to accelerate the merry go round?

(I think that power = torque • angular velocity and work = torque • θ. Can someone explain and show work?)

Answer 1