θ represents the angular displacement, the angle through which an object rotates.

The arc length 's' represents the distance traveled along the circular path due to the rotation.

The radius 'r' represents the distance from the axis of rotation to the point where the displacement is measured.

The angle in radians through which an object rotates around an axis.

The rate at which angular position changes with time.

The rate at which angular velocity changes with time.

Radians per second (rad/s).

Radians per second squared (rad/s²).

$$\omega_{avg} = \frac{\Delta \theta}{\Delta t}$$ where $\omega_{avg}$ = average angular velocity, $\Delta \theta$ = change in angular displacement and $\Delta t$ = change in time.

$$\alpha_{avg} = \frac{\Delta \omega}{\Delta t}$$ where $\alpha_{avg}$ = average angular acceleration, $\Delta \omega$ = change in angular velocity and $\Delta t$ = change in time.

$$\theta = \theta_0 + \omega_0 t + \frac{1}{2} \alpha t^2$$ where $\theta$ = angular displacement at time $t$, $\theta_0$ = initial angular displacement, $\omega_0$ = initial angular velocity and $\alpha$ = angular acceleration.

$$\omega^2 = \omega_0^2 + 2\alpha(\theta - \theta_0)$$ where $\omega$ = angular velocity at angular displacement $\theta$, $\omega_0$ = initial angular velocity, $\alpha$ = angular acceleration and $\theta_0$ = initial angular displacement.