Part 1: A merry-go-round rotates at the rate of 0.19 rev/s with an 91 kg man standing at
a point 3 m from the axis of rotation. What is the new angular speed when the
man walks to a point 1 m from the center? Consider the merry-go-round is a solid 18 kg
cylinder of radius of 3 m. Answer in units of rad/s.

Part 2: What is the change in kinetic energy due to this movement? Answer in units of J.