Physics question?

A 55.7-kg child is standing on the outer edge of a merry-go-round that has moment of inertia 591 kg⋅m2 and radius 2.40 m. The entire system is initially rotating at 0.180 rev/s. Find the angular velocity if the child moves to a final position 1.10 m from the center of the merry-go-round.

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