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 by
to give
Substitute
Now divide by r^2 to give
Substitute
Now divide by r to give
Substitute
Now divide through byto give