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Three children are riding on the edge of a merry-go-round that is 142 kg, has a...

Three children are riding on the edge of a merry-go-round that is 142 kg, has a 1.60 m radius, and is spinning at 19.3 rpm. The children have masses of 22.4, 30.5, and 34.8 kg. If the child who has a mass of 34.8 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm?

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