A merry-go-round of radius 2.00 m in a playground consists of a moment of inertia I = 275 kg•m2 and is rotating around a frictionless vertical axle. As a child of mass 25.0 kg stands at a distance of 1.00 m from the axle, the system (merry-go-round and child) rotates at the rate of 16.0 rev per min. The child then continues to walk in the direction of the edge of the merry-go-round. Determine the angular speed of the system if the child arrives at the edge?