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

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Homework Help Overview

The original poster is working on a circular motion lab where they need to analyze the relationship between varying force and velocity. They have collected data on mass, radius, time for multiple rotations, and have plotted a velocity vs force graph, which they found to have a power regression. The goal is to linearize this graph.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to identify an equation that relates force and velocity while keeping acceleration constant, expressing uncertainty about how to proceed. Other participants inquire about the experimental setup and suggest looking at additional resources for guidance.

Discussion Status

Participants are exploring the details of the experiment and sharing resources that may help clarify the original poster's question. There is an ongoing exchange of links to relevant documents, but no consensus has been reached on the specific approach to linearizing the data.

Contextual Notes

The original poster mentions being stuck and needing more information to proceed. There are references to specific experimental setups and procedures, indicating that further clarification of the data format may be necessary for effective assistance.

Bryan Tran
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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 ?
 
Last edited by a moderator:
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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