difference between angular velocity and linear …

Definition

We define the linear velocity as the rate of change of the linear displacement.

We define the angular velocity as the rate of change of angular displacement.

Key Differences

• In a circular motion, the linear velocity of a particle is along the circumference of a circle. 

• It is different at different points on the circle.

• The angular velocity of a particle is along the axis of a circle.

• It remains the same throughout the circular motion.

Symbol

The symbol for the linear velocity is v.

The symbol for angular velocity is a Greek letter, i.e., ω (pronounced as omega).

Formula

Quantity

It is a vector quantity that implies it has both magnitude & direction.

It is an axial vector. Its because the direction of the displacement of the particle is along the axis of the circle.

Measuring Unit

We measure the linear velocity in m/s.

We measure the angular velocity in both degrees and radians.
A degree is a dimensionless unit.
Radian is an SI unit.

Real-life Example

If your office is at 150 km distance from your home, then your car will acquire a linear velocity.