University Physics Notes: Classical Mechanics – Equations of Motion for Circular 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