Physics Homework Help?

Question

A 1.8-kg grindstone in the shape of a uniform cylinder of radius 0.20 m acquires a rotational rate of 22 rev/s from rest over a 6.0-s interval at constant angular acceleration.

Calculate the torque delivered by the motor.

Answer 1

Mass of the grindstone is kg.

Uniform cylinder radius is .

Grindstone acquires rotational rate is 22 rev/s in a time of 6 s.

Find the torque.

Torque , where I  is the moment of inertia and is the angular acceleration.

Angular velocity is rad/s.

Angular acceleration is rad/s².

.

Moment of inertia of cylinder is .

.

Substitute and  in .

Nm.

Torque delivered by the motor is 0.83 Nm.