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crazyman
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Determining equations from relationships between empirical evidence
We are doing a lab analyzing uniform circular motion, in which the objective is to find the relationship between the radius, the frequency, the centripetal force, and the mass of a spinning object, and ultimately, be able to derive the equation which links them all (I already know the equation, which is Fcentripetal=4pi2mrf2).
The apparatus of the lab consists of a hollow tube that can be held vertically in your hand and twirled around, causing the rubber stopper at the end of the string to revolve horizontally. The string to which the stopper is attached hangs through the tube and supports various masses. The force of gravity acting on these masses provides the tension force needed to keep the stopper moving along a circle (serves as the centripetal force).
Data was collected on the effect of changing the radius on frequency, and changing the centripetal force on frequency. A trial for the mass of the stopper was not conducted (My teacher told us not to).
Fcentripetal=4pi2mrf2
So basically, we have to find the equation but I'm not sure how to do that. My teacher was really vague on this. I know we have to find the relationship between the various variables using my data, and it involves graphing them. We're allowed to use graphing software (if it's on Microsoft Word then it's easiest). Any ideas?
Homework Statement
We are doing a lab analyzing uniform circular motion, in which the objective is to find the relationship between the radius, the frequency, the centripetal force, and the mass of a spinning object, and ultimately, be able to derive the equation which links them all (I already know the equation, which is Fcentripetal=4pi2mrf2).
The apparatus of the lab consists of a hollow tube that can be held vertically in your hand and twirled around, causing the rubber stopper at the end of the string to revolve horizontally. The string to which the stopper is attached hangs through the tube and supports various masses. The force of gravity acting on these masses provides the tension force needed to keep the stopper moving along a circle (serves as the centripetal force).
Data was collected on the effect of changing the radius on frequency, and changing the centripetal force on frequency. A trial for the mass of the stopper was not conducted (My teacher told us not to).
Homework Equations
Fcentripetal=4pi2mrf2
The Attempt at a Solution
So basically, we have to find the equation but I'm not sure how to do that. My teacher was really vague on this. I know we have to find the relationship between the various variables using my data, and it involves graphing them. We're allowed to use graphing software (if it's on Microsoft Word then it's easiest). Any ideas?
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