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You place a half-dollar in our hyperbolic funnel. At the top it moves with a period...

You place a half-dollar in our hyperbolic funnel. At the top it moves with a period of 5 sec in a circle of radius 0.75 m. Down near the bottom of the funnel the radius is closer to 4 cm, assuming that no energy is lost as the coin rolls without slipping and that we can ignore the radius of the coin, what is the period of rotation just before it falls?

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