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A ball at the end of a long rope is swung in a horizontal circular path....

A ball at the end of a long rope is swung in a horizontal circular path. The rope is then pulled in so that the radius of the path is 1/2 as big. How does the tangential speed of the ball change?
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Answer #1

Since the total angular displacement for each complete rotation along the circular path remains constant, the only factor that can affect the tangential speed is the radius of the circle. It can be observed from the formula itself that if the radius is increased, the tangential velocity correspondingly increases for the same time.

tangential speed = radius * angular speed = r*(theta)/t

tangential speed will be half

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