Angular Analogy

At this point we have a complete analogy between the rotation of a motor shaft and one dimensional linear motion. This analogy becomes clear when we write out the definitions of position, velocity, and acceleration:

..........(1)

As far as these equations go, the analogy is precise.
Therefore any formulas that we derived for linear motion in one dimension must also apply to angular motion. In particular the constant acceleration formulas, must apply. If the linear and angular accelerations a and α are constant, then we get