How do you find frequency in uniform circular motion?

There are many ways to find the frequency in uniform circular motion depending on what is given to you in the problem.

First, be clear that there is a difference between the "frequency", f, and the angular frequency, ω, but they are related through this:

2π⋅f=ω

We also know that the period, T, is related to f through T = 1/f

If the speed is known then you can use:

v = 2πr / T = 2πrf ⇒f = v / 2πr

This equation comes from knowing the distance travelled for one complete revolution is 2πr and the time taken is T.