Uniform circular motion radius

AI Thread Summary
In uniform circular motion, frequency is inversely proportional to the square root of both the radius and mass, while it is directly proportional to the square root of the tension force. The lab experiment involved spinning rubber stoppers attached to masses and measuring the time for multiple cycles to derive these relationships. The participant seeks clarification on the theoretical basis for these proportionalities and how to combine them into the equation sumF = 4pi^2mrf^2. Understanding the dynamics of circular motion and the forces involved is crucial for validating these findings. The discussion emphasizes the importance of theoretical grounding in experimental results.
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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
 
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What was the basis of the above calculations...i mean the theory.
 

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