Two uniform solid spheres have the same mass of 2.85 kg, but one has a radius of 0.236 m while the other has a radius of 0.894 m. Each can rotate about an axis through its center. (a) What is the magnitude t of the torque required to bring the smaller sphere from rest to an angular speed of 317 rad/s in 15.5 s? N.m (b) What is the magnitude F of the force that must be applied tangentially at the sphere's equator to provide that torque? (c) What is the corresponding value of t for the larger sphere? N. m

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter13: Rotation Ii: A Conservation Approach
Section: Chapter Questions
Problem 7PQ: A 12.0-kg solid sphere of radius 1.50 m is being rotated by applying a constant tangential force of...
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Two uniform solid spheres have the same mass of 2.85 kg, but one has a radius of 0.236 m while the other has a radius of 0.894 m. Each can rotate about an axis through its center.
(a) What is the magnitude t of the torque required to bring the smaller sphere from rest to an angular speed of 317 rad/s in 15.5 s?
N. m
(b) What is the magnitude F of the force that must be applied tangentially at the sphere's equator to provide that torque?
N
(c) What is the corresponding value of t for the larger sphere?
N. m
Transcribed Image Text:Two uniform solid spheres have the same mass of 2.85 kg, but one has a radius of 0.236 m while the other has a radius of 0.894 m. Each can rotate about an axis through its center. (a) What is the magnitude t of the torque required to bring the smaller sphere from rest to an angular speed of 317 rad/s in 15.5 s? N. m (b) What is the magnitude F of the force that must be applied tangentially at the sphere's equator to provide that torque? N (c) What is the corresponding value of t for the larger sphere? N. m
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