Identifying Independent and Dependent Variables in Circular Motion Experiment

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In the discussion about identifying independent and dependent variables in a circular motion experiment, the independent variable is the mass of the weights used, while the dependent variable is the frequency of rotation. The experiment involves spinning a rubber stopper tied to a string and measuring the frequency at different masses, with the radius and mass of the stopper kept constant. The relationship between the gravitational force of the masses and frequency is expected to be parabolic. Clarification on these variables is crucial for accurately plotting the data. This understanding will enhance the quality of the lab report.
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.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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