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## Homework Statement

**Question 3**

Mathematically derive a relationship between the speed v, of a body moving in a circle of radius r, and the frequency f, of the revolutions.

**Question 4**

Use your results for Q3 to next deduce a relationship between Fc and the frequency f. Thus, predict the shape of a graph of Fc against f and the shape of a graph of Fc against f2. State which variables must be held constant in this analysis.

## Homework Equations

v=2πr/T

T=1/f

## The Attempt at a Solution

Question 3:

I tried this:

v=2πr/T

T=2πr/v

T=1/f

f=1/T

f=1/(2πr/v)

f=1/(2πr/v)

v=2πr/(1/f)

v=2πr/f

But I believe that answer is wrong. :/

Question 4:

Without knowing the above I can't work this out. I actually don't know how to work this out though. Any hints?

Thanks!