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Circular Motion in Cycling

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Dan and Beatrice cycle side by side. The tires on Dan's bike are large in diameter than those on Beatrice's bike. Which wheels, if either, have the greater rotational speed? Explain.

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Solution Summary

This solution determines the which wheel has the greater rotational speed by calculating the rotational speed and tangential velocity. All steps are shown with brief explanations.

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The rotational speed w is related to the tangential (linear) velocity v (assuming there is no slipping) by:

w = v/r

Where r is the radius of rotation.

In our case, the tangential velocity of Dan is the same ...

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