9.22 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. (a) 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? (b) If instead the axle must give the buckets an upward acceleration of 0.400 m/s², what should the angular acceleration of the axle be? ●●

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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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9.22.. 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. (a) 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? (b) If instead the axle must give the buckets an upward
acceleration of 0.400 m/s², what should the angular acceleration
of the axle be?
Transcribed Image Text:9.22.. 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. (a) 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? (b) If instead the axle must give the buckets an upward acceleration of 0.400 m/s², what should the angular acceleration of the axle be?
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