What Goes on the X-Axis and Y-Axis in a Centripetal Force vs Period Graph?

AI Thread Summary
In a centripetal force vs period graph, the centripetal force (Fc) is typically plotted on the y-axis, while the period (T) is plotted on the x-axis. This is because the problem specifies to plot Fc as a function of T, indicating that Fc depends on T in this context. The relationship between period, velocity, and angular velocity is crucial, as changes in the period affect the velocity and subsequently the centripetal force. Specifically, if the period is doubled while keeping the radius constant, the velocity decreases, which in turn affects the centripetal force. Understanding these relationships is essential for accurately interpreting the graph.
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Homework Statement



When plotting the centripetal force vs period graph, what goes on the x-axis and y-axis? I thought that since centripetal force does not depend on period, it goes on the x-axis, but now I'm not too sure.

It also says plot Plot Fc as a function of T.

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The Attempt at a Solution

 
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there's a relationship between period, the velocity of the thing and the angular velocity

remember that a = v^2/r for constant velocity in a circle
 
If you double the period what happens to the velocity given the radius stays constant and thus what happens to the centripetal force?
 
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