Centripetal Force Physics Lab Question

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SUMMARY

The discussion centers on a physics lab involving centripetal force, specifically plotting a graph of Radius versus FT². The correct approach is to place Force (F) on the y-axis and Radius on the x-axis, as the relationship indicates that Force increases with an increase in Radius. The theoretical slope of the graph can be derived from the equation FT² = 4π²Rm, which relates the net centripetal force to mass and radius. Understanding these relationships is crucial for accurately interpreting the results of the lab experiment.

PREREQUISITES
  • Understanding of centripetal force concepts
  • Familiarity with the equations of motion: Net Force = ma and Net Centripetal Force = mv²/r
  • Basic knowledge of graphing and interpreting slopes
  • Ability to manipulate and rearrange algebraic equations
NEXT STEPS
  • Research the derivation of the centripetal force equation: FT² = 4π²Rm
  • Learn how to graph and analyze data in physics experiments
  • Explore the relationship between radius and force in circular motion
  • Study the implications of varying mass on centripetal force
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone involved in laboratory experiments related to circular motion and centripetal force analysis.

dystorsion
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I need help with this lab I'm doing involving swinging a mass in a circle (I'm sure you guys have heard of it). I have to plot a graph of Radius vs. FT^2 and then compare the value of the slope to its theoretical value.

A couple questions:
Which goes on the y axis? Radius or FT^2?
How do I ascertain the theoretical value of the slope to compare to?

Thanks,
Dystorsion
 
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What is FT^2??
 
I have no clue. I'm just multiplying F with T^2.

I've done some research to help myself, though I still don't know what's going on. Here's the link I found, scroll down to the bottom for the tidbit on FT^2.

http://www.mysci.net/pages/physics1/Labs/centripetalforce.htm
 
Last edited by a moderator:
Ok then. What are F and T^2. Sorry but I can't access links from where I am.
 
I see...the link already gives you what you need. You should already know that Net Force = ma and Net Centripetal Force = mv^2/r. v = 2(pi)r/T, in which T is time. Therefore, all that was done was that using these formulas and plugging in values, the Net Force = ma = mv^2/r = 4(pi)^2Rm/T^2. I don't think its FT^2, I think you're confusing it for just F.
---To answer the question about the axes, F goes on the y-axis and Radius goes on the x-axis; consider it as for you increase or decrease the radius, you'll retrieve another value for F.
---To explain about the situation with FT^2 being mistaken for F, is that
FT^2 = 4(pi)^2Rm, which I can't really identify (its not acceleration or the velocity). Using just F is the centripetal force, and you would graph whether F increases as the radius increases (the slope is I suppose deltaF/deltaT). Then again, I'm not exactly completely sure that this is the answer, its just I can not identify FT^2.
---If its any help...if it really is FT^2, then the slope should identify FT^2/R, in which it is equal to 4(pi)^2m; if you could find what that means, then you would be able to find out what the slope refers to.
 

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