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

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SUMMARY

In the discussion regarding the centripetal force vs period graph, it is established that the centripetal force (Fc) should be plotted on the y-axis while the period (T) is plotted on the x-axis. This is because the centripetal force is dependent on the period, as indicated by the relationship between period, velocity, and angular velocity. The equation a = v^2/r is crucial for understanding how changes in period affect velocity and subsequently centripetal force.

PREREQUISITES
  • Understanding of centripetal force and its relationship to circular motion
  • Familiarity with the equations of motion, particularly a = v^2/r
  • Knowledge of angular velocity and its connection to period
  • Basic graphing skills for plotting functions
NEXT STEPS
  • Study the relationship between centripetal force and angular velocity
  • Learn how to derive centripetal force from the period using relevant equations
  • Explore the effects of varying radius on centripetal force and period
  • Practice plotting graphs of centripetal force as a function of period with sample data
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators looking to clarify concepts related to centripetal force and period relationships.

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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.

Homework Equations


The Attempt at a Solution

 
Last edited:
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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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