Identifying Independent and Dependent Variables in Circular Motion Experiment

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SUMMARY

The discussion centers on identifying independent and dependent variables in a circular motion experiment investigating the relationship between centripetal force and frequency of rotation. The independent variable is the mass of the weights, while the dependent variable is the frequency of rotation. The equation governing the relationship is F = 4 m r π² f², indicating a parabolic relationship between gravitational force and frequency. The experiment maintains a constant radius and mass of the stopper to isolate the effects of the independent variable.

PREREQUISITES
  • Understanding of centripetal force and its role in circular motion
  • Familiarity with the equation F = 4 m r π² f²
  • Basic knowledge of experimental design and variable identification
  • Ability to plot and interpret graphs of experimental data
NEXT STEPS
  • Research the principles of centripetal force in circular motion
  • Learn how to derive and manipulate the equation F = 4 m r π² f²
  • Explore methods for graphing relationships between independent and dependent variables
  • Investigate the effects of varying radius while keeping mass constant in circular motion experiments
USEFUL FOR

Students conducting physics experiments, educators teaching concepts of circular motion, and anyone interested in understanding the dynamics of centripetal force and frequency relationships.

Stroodle
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Homework Statement



Hi there,

I'm doing a practical investigation to see how the centripetal force required for circular motion varies with the frequency of rotation, and I was just wondering which is the independent variable, and which is the dependent one.

The investigation involves various weights tied to a string that's threaded through a tube and tied to a rubber stopper at the other end. The rubber stopper is spun around horizontally and the frequency at different masses is measured.

I'll be keeping the radius and mass of the stopper constant.

Homework Equations



F=4 m r pi^2 f^2

The Attempt at a Solution



I think that the frequency is the dependent variable because it is affected by different magnitudes of centripetal force, but at the same time the frequency affects the force required for circular motion. So I'm not sure which is dependent and independent (It's just for my graph).

Thanks for your help!
 
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Hello Stroodle. You have an interesting experimental design there.
For your design, the different masses are the indepedent variable and the frequency is the dependent variable (however, you may want to plot gravitational force of the masses as a function of the frequency even though frequency is dependent). As you have already indicated, you will find a parabolic relationship between the two. Good luck on your lab.

-PL
 
Thanks for that Inutard. I really appreciate your help.
 

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