Angular velocity is a concept used to describe the rotational motion in circular motion. It is a measure of how quickly an object is rotating around a fixed axis or point.
In circular motion, an object moves along a circular path. The angular velocity (ω) represents the rate at which the object rotates or revolves around that circular path. It is defined as the change in angular displacement (θ) per unit of time (t). Mathematically, angular velocity is given by:
ω = Δθ / Δt
where: ω is the angular velocity, Δθ is the change in angular displacement, and Δt is the change in time.
The angular velocity is usually expressed in radians per second (rad/s). Since there are 2π radians in a full revolution or one complete circle, the angular velocity can also be given in revolutions per unit time (e.g., revolutions per minute or RPM).
In summary, angular velocity describes how fast an object is rotating or revolving in circular motion, and it is defined as the change in angular displacement per unit of time.