Angular velocity is a measure of the amount of rotation that a spinning object undergoes per unit of time. It describes the speed of rotation and is typically measured in radians per second (rad/s). Angular velocity is used to describe the motion of rotating objects, such as a wheel spinning or a satellite orbiting a planet.

Formula

Angular velocity ωω can be calculated using the following formula:
ω=Δθ/ Δt

Where:

 ω is the angular velocity (radians per second)
 Δθ is the angular displacement (radians)
 Δt is the time interval (seconds)

Rotational Motion and Angular Velocity

When an object is moving along a circular path, its angular velocity represents how much angular distance the object covers per unit of time. Angular velocity is used to measure the speed of rotational motion, indicating how fast an object is moving along a circular path.

Relationship Between Linear Velocity and Angular Velocity

Angular velocity is also related to linear velocity. The linear velocity vv can be calculated using the following formula:
v=r⋅ωv=r⋅ω

Where:

 v is the linear velocity (meters per second)
 r is the radius (meters)
 ω is the angular velocity (radians per second)

This formula connects the linear velocity and angular velocity of an object moving along a circular path.