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Uniform Circular Motion frequency

  1. Mar 25, 2006 #1
    Yesterday I did a lab with the purpose of determining the relationship between the frequency of revolution of an object in uniform circular motion and
    1)the magnitude of the force (causing the circular motion)
    2)the radius of the circular path
    3)the mass of the object.

    Well by graphing my observations, I was able to determine that the force is proportional to the frequency squared. The radius is proportional to the inverse of the frequency squared. The mass is also proportional to the inverse of the frequency squared.

    By determing the line of best fit of these three graphs, I got the equations

    Force=0.2639(frequency) - 0.1176
    Radius=2.3983(frequency) + 0.1209
    Mass=0.0343(frequency) - 0.0011

    I also converted my proportionality statements into equations
    frequency= force / k square rooted
    frequency = k / radius square rooted
    frequency = k / mass square rooted

    Apparently I have to combine my "three results" to obtain an equation for the frequency in terms of the tension(force), the radius and the mass. It should provide the same answers if I checked it with data points as the equation SIGMA FORCE = 4PIE^2mrf^2 (There is obviousy going to be some disrepancies but it should be a close result)

    HOW DO I COMBINE EQUATIONS?? HELP!!!!!!!!!!!!!!!!! :cry:
     
  2. jcsd
  3. Mar 31, 2009 #2
    I am doing the same lab but my data is not correct what data did you get?
     
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