Summary

Angular displacement is measured with \Delta \theta=\theta-\theta_0
Track angular displacement direction with clockwise counterclockwise sign convention
Average angular velocity: w_{avg}=\frac{\Delta\theta}{\Delta t}
Average angular acceleration: a_{avg}=\frac{\Delta w}{\Delta t}
Rigid system holds shape, but different parts move at different speeds so you can't treat it as a single particle unless COM motion describes rotation well
Slope of theta vs time shows angular velocity
Slope of angular velocity vs time shows angular acceleration
Integral of angular velocity vs time shows Delta theta

Angular vs. Linear Motion

Angular motion equations are similar to linear motion equations. w=w_0+at \theta=\theta_0+w_0t+\frac{1}{2}at^2 w^2=w^2_0+2a(\theta - \theta_0)