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?

Question

Jay Dickson

Physics

2 March, 14:24

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?

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Answers (1)

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Elianna Werner · Answer 1

Using the rotational equivalent of force:

Which is T = I*Alpha

Where: T is torque, I is the moment of inertia and Alpha is the angular acceleration.

This is for the flywheel: J = 1/2mr^2 = 5*3^2 = 45 kgm^2

From the equation:

T = J*dω/dt

we get:

Δt = J*Δω/T = 45*8.13/110.0 = 3.326 sec