A particular motor can provide a maximum torque of 110 N · m. Assuming that all of this torque is used to accelerate a solid, uniform, cylindrical flywheel of mass 10.0 kg and radius 3.00 m, how
Long will it take for the flywheel to accelerate from rest to 8.13 rad/s?
A) 4.36 s
B) 4.03 s
C) 2.83 s
D) 3.33 s

Question

A particular motor can provide a maximum torque of 110 N · m. Assuming that all of this torque is used to accelerate a solid, uniform, cylindrical flywheel of mass 10.0 kg and radius 3.00 m, how
Long will it take for the flywheel to accelerate from rest to 8.13 rad/s? 
A)  4.36 s
B)  4.03 s
C)  2.83 s
D)  3.33 s

Quizplus · Accepted Answer

The moment of inertia (I) of a solid cylinder is (1/2)mr². Using τ = Iα, where τ is torque and α is angular acceleration, we find α = τ/I. Then, using ω = αt, solve for t: t = ω/α. Substituting the given values, t = 3.33 s.

A Particular Motor Can Provide a Maximum Torque of 110