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
.
