Problem a child standing on the edge of a merry-go-round, Ask an Expert

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Problem: A child standing on the edge of a merry-go-round moves quickly to the center.

Part A- What happens to the rotational speed of the merry-go-round? Why?

For some reason I keep getting it wrong I don't know if it's a calculation error. Please show your works so I can see what I'm doing wrong please help!

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