You are to design a rotating cylindrical axle to lift 7.7-N buckets of cement from the ground to a rooftop 3.8 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. If instead the axle must give the buckets an upward acceleration of 6.5 m/s? with a steady velocity of 3.2 cm/s turning at 3.1 rpm, what should the angular acceleration (rad/s2) of the axle be?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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You are to design a rotating cylindrical axle to lift 7.7-N buckets of cement from the
ground to a rooftop 3.8 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. If instead the axle must
give the buckets an upward acceleration of 6.5 m/s? with a steady velocity of 3.2 cm/s
turning at 3.1 rpm, what should the angular acceleration (rad/s?) of the axle be?
Transcribed Image Text:You are to design a rotating cylindrical axle to lift 7.7-N buckets of cement from the ground to a rooftop 3.8 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. If instead the axle must give the buckets an upward acceleration of 6.5 m/s? with a steady velocity of 3.2 cm/s turning at 3.1 rpm, what should the angular acceleration (rad/s?) of the axle be?
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