A merry-go-round rotates at the rate of 0.28 rev/s with an 95 kg man standing at a point 2.6 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 30 kg cylinder of radius of 2.6 m. answer in units of rad/s.