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Angular velocity and time

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A person with a 50cm ponytail is using a lathe which is turning at 300rpm. The person turns their head, catching the end of the ponytail in the work piece, which has a diameter of 7cm. How long will it take the person's head to be dragged into the lathe?

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The expert examines angular velocity and time.

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The circumference of the work pice is given by C= pi*d= 7pi = 21.99cm

As the work piece makes 300 rpm and 1 rev ...

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