Two uniform solid spheres have the same mass of 1.77 kg, but one has a radius of 0.208 m and the other has a radius of 0.879 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 205 rad/s in 18.7 s? (b) What is the magnitude F of the force that must be applied tangentially at the sphere's equator to give that torque? What are the corresponding values of (c) T and (d) F for the larger sphere? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units

Principles of Physics: A Calculus-Based Text
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Chapter10: Rotational Motion
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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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Two uniform solid spheres have the same mass of 1.77 kg, but one has a radius of 0.208 m and the other has a radius of 0.879 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 205 rad/s in 18.7 s? (b) What is the magnitude F of the force that must be applied tangentially at the
sphere's equator to give that torque? What are the corresponding values of (c) T and (d) F for the larger sphere?
(a) Number
i
Units
(b) Number
Units
(c) Number
i
Units
(d) Number
Units
Transcribed Image Text:Two uniform solid spheres have the same mass of 1.77 kg, but one has a radius of 0.208 m and the other has a radius of 0.879 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 205 rad/s in 18.7 s? (b) What is the magnitude F of the force that must be applied tangentially at the sphere's equator to give that torque? What are the corresponding values of (c) T and (d) F for the larger sphere? (a) Number i Units (b) Number Units (c) Number i Units (d) Number Units
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