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?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter10: Fixed-axis Rotation
Section: Chapter Questions
Problem 47P: A man stands on a merry-go-round that is rotating at 2.5 rad/s. If the coefficient of static...
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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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