While at the county fair you take a ride on the carousel and notice

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While at the county fair you take a ride on the carousel and notice that it goes around once in 12 s. The radius of the carousel is 15 m. As the ride comes to an end, it slows down smoothly, coming to a stop in 2.5 revolutions. What is the magnitude of the rotational acceleration of the carousel while it is slowing down?

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