The angular velocity, \(\omega\), is the rate of the change of the angular position, and the angular acceleration, \(\alpha\), is the rate of change of the angular velocity: \[\begin{aligned} \omega &...The angular velocity, \(\omega\), is the rate of the change of the angular position, and the angular acceleration, \(\alpha\), is the rate of change of the angular velocity: \[\begin{aligned} \omega &= \frac{d}{dt}\theta \\ \alpha &= \frac{d}{dt}\omega\end{aligned}\] If the angular acceleration is constant, then angular velocity and position as a function of time are given by: \[\begin{aligned} \omega(t) = \omega_0+\alpha t\\ \theta(t) = \theta_0+\omega_0 t+\frac{1}{2}\alpha t^2\end{aligned}\] …
