Principles of Physics 11th ISV Edition Β· Rotation Β· Problem 31
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Walker, Halliday & Resnick β Rotation: Problem 31
31 A disk, with a radius of 0.25 m, is to be rotated like a merry-go-round through 800 rad, starting from rest, gaining angular speed at the constant rate \(\alpha_1\) through the first 400 rad and then losing angular speed at the constant rate \(-\alpha_1\) until it is again at rest. The magnitude of the centripetal acceleration of any portion of the disk is not to exceed 400 m/sΒ². (a) What is the least time required for the rotation? (b) What is the corresponding value of \(\alpha_1\)?
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Given: 31 A, 0.25 m, 400 m
Find: (a) What is the least time required for the rotation?; (b) What is the corresponding value of \
This problem covers key concepts in Rotation from Principles of Physics 11th ISV Edition by Walker, Halliday & Resnick. The step-by-step solution involves applying fundamental principles and systematic analysis to arrive at the correct answer. Full solution available with a Solution Pass.
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Principles of Physics Β· 11th ISV Edition
Author: Walker, Halliday & Resnick
Publisher: Wiley
Chapter: Rotation