Uniform circular motion

In motion on a circle. The period, T, is the time take for one complete revolution and the distance covered is the circumference 2(pi)r. Therefore, v = 2(pi)r/T.

Constant speed, yet accelerating ... how can that be true?

Centripetal acceleration (center seeking), ac = v2 /r

Centripetal Force is in the same direction as the acceleration ... toward the center. This is a description of the direction of a force created by uniform circular motion.

 

Brief Summary

 

IB problems (MS)

 

Angular velocity, w = (change in angle)/(change in time).

Linear velocity, v = r(w)

Angular acceleration, alpha = (change in w)/(change in t)

Linear acceleration, a = r(alpha)