How Can I Linearize a Velocity vs Force Graph in Circular Motion Analysis?

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To linearize a velocity vs. force graph in circular motion analysis, one must manipulate the equations of motion to express both variables appropriately. The relevant equations include F=ma and a=v^2/r, where acceleration can be treated as a constant. The discussion suggests using linear least squares regression to analyze the data, emphasizing the need for clarity in the experimental setup and data format. Additional resources, including PDFs, are provided to guide the user in understanding the procedure and addressing uncertainties in the experimental results. Ultimately, the focus should be on deriving a relationship that allows for the linearization of the graph.
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Homework Statement


In my circular motion lab, I have to find the Varying Force.
I have a constant Bob mass, and constant radius. I also have the data recorded of the Hanging mass, Time for 10 circles, period, force, and speed.
Then I had a velocity vs force graph which I plotted the data and found a power regression.

Now, I'm trying to linearize the data of a Velocity vs Force graph...

Homework Equations


F=ma
a=v^2/r

The Attempt at a Solution


The first part of the question is wanting to get me to get the two variables on one side of the equation and the constants on the other, but I'm not sure what equation has both Force and Velocity in it and can give me acceleration as a constant.. Unless I'm looking at it wrong, help?

I can't really attempt anything because I'm already stuck.
 
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Is your experiment like fig 3a.1 on the page http://www.physics.fsu.edu/users/ng/Courses/phy2053c/Labs/Expt03a/Expt03a-3.htm ?
 
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Yes, very similar! except it's for 10 rotations, not 15.
 
The page in the link ends with the tanatalizing statement:

Next week you will investigate the experimental uncertainty in your exponents with the aid of the computer program Quattro Pro and determine whether your values of n are consistent with simple fractions. You will then be able to discuss your results in comparison with the theoretical relationship between F M, R and V.

Can you find a link to next week's notes? - or any page that describes the format of your data?

If not, I think you'll have to provide such a description for me to be of any help because your question needs to be stated with more detail.
 
This PDF?: http://www.physics.fsu.edu/courses/Fall04/phy2053c/labs/centripetal.PDF
 
Last edited by a moderator:
I think this PDF describes the procedure. It's probably linear least squares regression: http://www.physics.fsu.edu/users/ng/Courses/phy2053c/Labs/Expt02b-03b/Expt02b-03b.pdf
 
Last edited by a moderator:
http://www.webassign.net/userimages/Linearization%20Practice%20-%20Circular%20Motion%20Lab.pdf?id=317339&db=v4net
Here's the PDF

But in this one it doesn't have velocity... Maybe that's what I'm suppose to do... not use velocity and just use the variable vs time
 

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