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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)

##### Solution Summary

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

##### Solution Preview

The solution is attached below in two formats. one is in Word XP Format, while the other is in Adobe pdf format. Therefore you can choose the format that is most suitable to you.

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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