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Review. A 4.00-m length of light nylon cord is wound around a uniform cylindrical spool of radius 0.500 m and mass 1.00 kg. The spool is mounted on a frictionless axle and is initially at rest. The cord is pulled from the spool with a constant acceleration of magnitude 2.50 m/s 2 . (a) How much work has been done on the spool when it reaches an angular speed of 8.00 rad/s? (b) How long does it take the spool to reach this angular speed? (c) How much cord is left on the spool when it reaches this angular speed?
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Physics for Scientists and Enginee...
9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399
Solutions
Chapter
Section
BuyFindarrow_forward
Physics for Scientists and Enginee...
9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399
Chapter 10, Problem 10.67AP
Textbook Problem
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Review. A 4.00-m length of light nylon cord is wound around a uniform cylindrical spool of radius 0.500 m and mass 1.00 kg. The spool is mounted on a frictionless axle and is initially at rest. The cord is pulled from the spool with a constant acceleration of magnitude 2.50 m/s2. (a) How much work has been done on the spool when it reaches an angular speed of 8.00 rad/s? (b) How long does it take the spool to reach this angular speed? (c) How much cord is left on the spool when it reaches this angular speed?
(a)
To determine
The work done on the spool when it reaches an angular speed of
Explanation of Solution
Given info: The length of the cord is
Write the expression of the work done on the spool.
Here,
The moment of inertia of the disk is,
Here,
Substitute
(b)
To determine
The time taken by the spool to reach this angular speed.
(c)
To determine
The amount of cord that is left on the spool.
Chapter 10 Solutions
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