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Proportionality statements in physics

  1. Mar 26, 2016 #1
    1. The problem statement, all variables and given/known data
    A chart has values of Fc (dependant): 10, 15, 20, 25, 30, respectively. The independant variable, F, has values 0.98, 1.07, 1.16, 1.32, 1.50, respectively. These values form a root graph.

    Fc is proportional to 4√F, this is the proportionality statement allowing me to make the graph linear. The slope of the linear is 3 / 0.02.

    How can I derive an equation for the linear using the slope and values I have if the slope is the constant?

    2. Relevant equations


    3. The attempt at a solution
    my attempt is

    4√F × constant (slope)
    however it does not work
     
  2. jcsd
  3. Mar 26, 2016 #2
    Have you considered adding y-intercept to your equation? I plotted your data and obtained the linear equation [itex] F_c = 177\sqrt[4]{F}-165 [/itex]. Also, I think the slope you have (3/0.02) is too underestimated for your data points.
     
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