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?
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?
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter13: Rotation Ii: A Conservation Approach
Section: Chapter Questions
Problem 49PQ: A turntable (disk) of radius r = 26.0 cm and rotational inertia0.400 kg m2 rotates with an angular...
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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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