A particular motor can provide a maximum of 110.0 N · m of torque.Assuming that all of this torque is used to accelerate a solid,uniform flywheel of mass 10.0 kg and radius 3.00 m,how long will it take for the flywheel to accelerate from rest to 6.04 rad/s?
A)2.47 s
B)2.10 s
C)2.99 s
D)3.24 s

Question

Quizplus · Accepted Answer

The moment of inertia (I) for a solid, uniform flywheel is (1/2)mr² = (1/2)(10 kg)(3 m)² = 45 kg·m². Using τ = Iα, where τ = 110 N·m, α = τ/I = 110/45 rad/s². The time (t) to reach 6.04 rad/s is ω = αt, so t = ω/α = 6.04/(110/45) = 2.47 s.

A Particular Motor Can Provide a Maximum of 110