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Angular-motion equations

The four motion equations combine the properties (angular position/length $\theta$, angular speed $ \omega $, initial angular speed $ \omega_0$, angular acceleration $\alpha$, time $t$) of angular motion in a curved turn.

$$\omega= \omega_0+\alpha t\\
\theta=\theta_0+v_0t+\frac12 \alpha t^2\\
\omega^2= \omega_0^2+2\alpha (\theta-\theta_0)\\
\theta=\theta_0+\frac12 ( \omega + \omega_0)t$$

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