A playground merry-go-round of radius R = 2.00 m has a moment of inertia I = 275 kgm2 and is rotating at 14.0 rev/min about a frictionless vertical...

A playground merry-go-round of radius R = 2.00 m has a moment of inertia I = 275 kg·m2 and is rotating at 14.0 rev/min about a frictionless vertical axle. A child of mass 25kg stands at a distance of 1m from the axle. The child then proceeds to walk toward the edge of the merry go round. What is the new angular speed of the system when the child reaches the edge?