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.

Angular displacement: angle through which an object rotates | Linear displacement: change in position of an object in a straight line.

Angular velocity: rate of change of angular displacement | Linear velocity: rate of change of linear displacement.

Angular acceleration: rate of change of angular velocity | Linear acceleration: rate of change of linear velocity.

Clockwise: Typically assigned a negative value. | Counterclockwise: Typically assigned a positive value.

$$\omega_{avg} = \frac{\Delta \theta}{\Delta t}$$ 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.