A football player with mass 140 kg and a gymnast with mass 53 kg are standing on a merry-go-round that has a moment of inertia of 600 kg.m². The football player is standing 1 m from the center, and the gymnast 3 m from the center when the merry-go-round is spinning at a rate of 4.5 rad/s. At what rate will it be spinning if the football player and the gymnast switch places?
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