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A child on the outside edge of a carousel, diameter 8.0m, accelerates from rest to a...

A child on the outside edge of a carousel, diameter 8.0m, accelerates from rest to a final angular velocity of 2 revolutions per minute in 10.0s. Assume constant angular acceleration.

a. What is the tangential acceleration on the child during the 10s?

b. Find the magnitude of the child's total acceleration (centripetal and tangential) at 5.0s.

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