Angular (ω) velocity also known as rotational velocity is the rate of velocity at which an object or a particle is rotating around a center or a specific point in a given time period.

The direction of the angular velocity vector is perpendicular to the plane in which the rotation takes place.

The SI unit of angular velocity is expressed as radians per second.

**Formula 1 to calculate angular velocity.**

**Example 1.**

Suppose a race car is traveling in a circular track, and it travels 3π in 3 minutes. Determine its angular velocity.

Thus, the angular velocity of the race car is pi radians per minute.

**Formula 2 to calculate angular velocity.**

**Example 2:**

Suppose a race car is traveling along a circular track at 100 kilometers per hour, and the radius of the track is 0.2 km. Find the angular velocity of the car.

Therefore, the angular velocity of the car is 550 radians per hour.