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Rotating cylindrical axle

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You are to design a rotating cylindrical axle to lift 800-N buckets of cement from the ground to a rooftop 78.0 m above the ground. The buckets will be attached to a hook on the free end of a cable that wraps around the rim of the axle; as the axle turns, the buckets will rise.

1. What should the diameter of the axle be in order to raise the buckets at a steady 2.00 cm/s when it is turning at 7.5 rpm? (answer in cm)

2. If instead the axle must give the buckets an upward acceleration of 0.400m/s^2, what should the angular acceleration of the axle be? (answer in rad/s^2)

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Solution Summary

This solution calculates diameter and angular acceleration of a rotating cylindrical axle.

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Check out these sites for more information:
http://hyperphysics.phy-astr.gsu.edu/hbase/circ.html#rotcon
http://hyperphysics.phy-astr.gsu.edu/hbase/mi.html#rlin

You are to design a rotating cylindrical axle to lift 800-N buckets of cement from the ground to a rooftop ...

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