A merry-go-round rotates at the rate of 0.16 rad/s with a(n) 43.0 kg man standing at a point 2.4 m from the axis of rotation.
What is the new angular speed when the man walks to a point 0.64 m from the center? Assume that the merry-go-round is a solid 5.99 ×102 kg cylinder with a radius of 3.87 m.
Answer in units of rad/s.