Question

A constant net torque is applied to a rotating object. Which of the following best describes the object's motion?
a. The object will rotate with increasing angular acceleration.
b. The object will have a decreasing moment of inertia.
c. The object will rotate with constant angular velocity.
d. The object will have an increasing moment of inertia.
e. The object will rotate with decreasing angular acceleration.
f. The object will rotate with constant angular acceleration.

Answer 1

Answer:

f. The object will rotate with constant angular acceleration.

Explanation:

We know that

τ = I α

τ=Torque

I=Moment of inertia of the object

α =Angular acceleration

The moment of inertia is constant for an object and it does not depends on the applied torque.

If applied torque is constant then the angular acceleration of the object will be constant because moment of inertia is constant.

If angular speed is constant then the angular acceleration will,be zero.But in this case object is having angular acceleration that is why it have varying angular speed.

Therefore option "f" is correct.