Question

Define angular velocity.

OR

What is angular velocity? State its unit and dimension.

Answer 1

i. Angular velocity of a particle performing circular motion is defined as the time rate of change of limiting angular displacement.

OR

The ratio of angular displacement to time is called angular velocity.

ii. Instantaneous angular velocity is given by,

\(\omega=\cfrac{\theta}t\)

iii. It is a vector quantity.

iv. Direction: The direction of angular velocity is given by right hand rule and is in the direction of angular displacement.

v. Unit: rad s^-1

vi. Dimensions: [M⁰ L⁰ T^-1]

Note: Magnitude of angular velocity is called angular speed.