A centrifuge rotor rotating at 10,000 rpm about an axis through its center of mass is shut off and eventually brought to rest by a frictional torque of magnitude 1.20 N.m. If the rotor has a mass of 4.80 kg and if it can be approximated as a uniform disk of radius 7.10 cm, then (a) what is the moment of inertia of the rotor about an axis through its center of mass? (b) What is the magnitude of the angular acceleration of the rotor? (c) Through how many revolutions will the rotor turn before coming to rest, and how long will it take? Include a diagram of the situation.

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter10: Fixed-axis Rotation
Section: Chapter Questions
Problem 63P: A system consists of a disk of mass 2.0 kg and radius 50 cm upon which is mounted an annular...
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A centrifuge rotor rotating at 10,000 rpm about an axis through its center of mass is shut off
and eventually brought to rest by a frictional torque of magnitude 1.20 N.m. If the rotor has a
mass of 4.80 kg and if it can be approximated as a uniform disk of radius 7.10 cm, then
(a) what is the moment of inertia of the rotor about an axis through its center of mass?
(b) What is the magnitude of the angular acceleration of the rotor? (c) Through how many
revolutions will the rotor turn before coming to rest, and how long will it take? Include a
diagram of the situation.
Transcribed Image Text:A centrifuge rotor rotating at 10,000 rpm about an axis through its center of mass is shut off and eventually brought to rest by a frictional torque of magnitude 1.20 N.m. If the rotor has a mass of 4.80 kg and if it can be approximated as a uniform disk of radius 7.10 cm, then (a) what is the moment of inertia of the rotor about an axis through its center of mass? (b) What is the magnitude of the angular acceleration of the rotor? (c) Through how many revolutions will the rotor turn before coming to rest, and how long will it take? Include a diagram of the situation.
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