A constant net torque is applied to an object. Which one of the following will NOT be constant?
A) Angular accelerationB) Angular velocityC) Moment of inertiaD) Center of gravity

Respuesta :

Answer:

B) Angular velocity

Explanation:

The equivalent of Newton's second law for rotational motions is

[tex]\tau = I \alpha[/tex]

where

[tex]\tau[/tex] is the net torque on a system

I is the moment of inertia

[tex]\alpha[/tex] is the angular acceleration

From the formula, we observe that if a constant net torque (=different from zero) is applied to an object, than the angular acceleration of the object [tex](\alpha)[/tex] is non-zero and constant.

But angular acceleration is defined as the rate of change of the angular velocity, [tex]\omega[/tex]:

[tex]\alpha = \frac{d\omega}{dt}[/tex]

so, a non-zero angular acceleration means that the angular velocity is changing, so the correct answer is B.