Understanding Circular Motion: How Do Frequency, Radius, and Mass Relate?

AI Thread Summary
The discussion focuses on understanding the relationships between frequency, radius, mass, and centripetal force in circular motion. The equation provided, Cf = 4(π²)mr(f²), is central to the analysis of various graphs. For the f vs Cf graph, radius and mass should be held constant, while for the f vs r graph, centripetal force and mass should remain constant. The f vs m graph requires keeping radius and centripetal force constant. The advice given emphasizes using variable substitutions to simplify the graphing process without altering the graph's shape.
KBrown
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Hi. I would like to know if someone could help me out in this pre-lab homework.

Is only about theoretical x vs y graphics corelating frequency with radius, mass and centripetal force.

I have thhis equation, I am not sure if there are others that should be used, tough.

Cf=4(\pi^2)mr(f^2)

For the graphic f vs Cf Do I take in count radius and mass constant? Or do I just need antoher equation? Could you give it please?

For the graphic f vs r Do I take in count centripetal force and mass constant? Or is it with other equation?

For the f vs m graphic. Do I take in count radius and centripetal constant?


Thank you a lot.
 
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Welcome to the forum. A useful technique is to replace the variable in the equation by x and y. So the Cf vs f graph is x=A.m.r.y^2 ( A=4.pi^2) and the f vs Cf is y=A.m.r.x^2,
and so on. For anything that is not x or y, select a value that suits you.

The shape of the graph will not be affected by your choice, only the lengths of the axes.
 
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