Question

Unit of angular velocity is

• A. rad
• B. $m{s}^{-1}$
• C. $rad{s}^{-2}$
• D. $rad{s}^{-1}$

Answer 1

The correct option is D

$rad{s}^{-1}$

The explanation for the correct option

(D): $rad{s}^{-1}$

1. Angular velocity is measured by the rate of change of angular displacement with respect to time.
2. $\omega =\frac{∆\theta }{∆t}$Here, $\omega$ is the angular velocity,$∆\theta$ is the change in angular displacement and $∆t$ is the change in time.
3. Now the unit of $∆\theta$ is rad, and the unit of $∆t$ is time so the unit of $\omega$ is $rad{s}^{-1}$.

The explanation for the incorrect option(s)

(A): $rad$ is the unit of angle.

(B): $m{s}^{-1}$ is the unit of linear velocity.

(C): $rad{s}^{-2}$ is the unit of angular acceleration.

Thus, the unit of angular velocity is $rad{s}^{-1}$ and option D is correct.