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 .

weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards

well clustered together.

points close on a scatter diagram