A light string 4.0 m long is wound around a cylindrical spool of mass 1.0 kg and radius 0.5 m. The spool, initially at rest, is mounted on a frictionless axle. The string is pulled from the spool with a constant acceleration of magnitude 2.5 m/s2. (a) How much work has been done on the spool when it reaches an angular speed of 8.0 rad/s? (b) How long does it take the spool to reach this angular speed? (c) How much string is left on the spool when it reaches this angular speed?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter10: Rotational Motion
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Problem 46P: A playground merry-go-round of radius R = 2.00 m has a moment of inertia I = 250 kg m2 and is...
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A light string 4.0 m long is wound around a cylindrical spool of mass 1.0 kg and radius 0.5 m. The
spool, initially at rest, is mounted on a frictionless axle. The string is pulled from the spool with a
constant acceleration of magnitude 2.5 m/s2. (a) How much work has been done on the spool when it
reaches an angular speed of 8.0 rad/s? (b) How long does it take the spool to reach this angular speed?
(c) How much string is left on the spool when it reaches this angular speed? 

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