Uniform circular motion radius

[ys2050]

In uniform circular motion, how is frequency proportional to:
radius
mass
tension force?

We did a lab where we connected rubber stoppers on one side of the string and masses to the other and spun it overhead and measured time taken for 10 cycles.
I came up with:
frequency is proportional to 1/(root(radius))
frequency is proportional to 1/(root(mass))
frequency is proportional to root(tension force)
from graphing... but I'm not sure if these are right...

I have to combine the three proportionality statements to get this equation:
sumF = 4pi^2mrf^2

Please help me~~~ T.T

 

[physixguru]

What was the basis of the above calculations...i mean the theory.

 

[physixguru]

https://www.physicsforums.com/archive/index.php/t-193620.html