Uniform circular motion.

R = radius; f = frequency; W = angular velocity/frequency; V = tangential velocity; A = centripetal acceleration

Radial and tangent vectors:

Point in motion on circle:

Velocity vector:

Change in velocity ...

... replanted at same time t = n as velocity ...

... Delta V ... transported back to t = n ... [m = 0.1 reasonably visible]

(Centripetal) acceleration vector:

Author: David A. Craig <http://web.lemoyne.edu/~craigda/>

This file was created by Graphing Calculator 3.5.

Visit Pacific Tech to download the helper application to view and edit these equations live.