A disk, with a radius of 0.25 m, is to be rotated like a merry-go-round through 1000 rad, starting from rest, gaining angular speed at the constant rate aj through the first 500 rad and then losing angular speed at the constant rate -a¡ until it is again at rest. The magnitude of the centripetal acceleration of any portion of the disk is not to exceed 100 m/s². (a) What is the least time required for the rotation? (b) What is the corresponding value of a1? (a) Number Units (b) Number i Units

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter10: Rotational Motion
Section: Chapter Questions
Problem 11P: A disk 8.00 cm in radius rotates at a constant rate of 1200 rev/min about its central axis....
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A disk, with a radius of 0.25 m, is to be rotated like a merry-go-round through 1000 rad, starting from rest, gaining angular speed
at the constant rate aj through the first 500 rad and then losing angular speed at the constant rate -aj until it is again at rest.
The magnitude of the centripetal acceleration of any portion of the disk is not to exceed 100 m/s?. (a) What is the least time
required for the rotation? (b) What is the corresponding value of a1?
(a) Number
i
Units
(b) Number
i
Units
Transcribed Image Text:A disk, with a radius of 0.25 m, is to be rotated like a merry-go-round through 1000 rad, starting from rest, gaining angular speed at the constant rate aj through the first 500 rad and then losing angular speed at the constant rate -aj until it is again at rest. The magnitude of the centripetal acceleration of any portion of the disk is not to exceed 100 m/s?. (a) What is the least time required for the rotation? (b) What is the corresponding value of a1? (a) Number i Units (b) Number i Units
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