Equations of Curcular Motion

For motion in a straight line with constant acceleration, we can use the SUVAT equations of motion:

These have exact equivalents for motion in a circle with constant angular acceleration. In these equations,and

We can derive the circular equations of motion from the linear equations of motion

Substitute

Divide byto give

Substitute

Now divide by r^2 to give

Substitute

Now divide by r to give

Substitute

Now divide through byto give