A playground merry-go-round of radius 2.00 m has a moment of inertia I = 265 kg·m2 and is rotating about a?

A playground merry-go-round of radius 2.00 m has a moment of inertia I = 265 kg·m2 and is rotating about 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 13.5 rev/min. The child then proceeds to walk toward the edge of the merry-go-round.

What is the angular speed of the system when the child reaches the edge?

rad/s

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