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Rearranging Equations to y= mx + b

  1. Mar 29, 2012 #1
    1. The problem statement, all variables and given/known data
    Graph the following charts on excel so you have a linear relationship.
    Determine your x and y variables before graphing, you may have to rearrange and even recalculate some of the variables.

    Angle Period (s)
    0 0.95
    10 0.94
    20 0.97
    30 1.00
    40 1.03
    50 1.09
    60 1.14
    NOTE: TEACHER SAID THAT SHE GAVE THE WRONG NUMBERS, THESE WONT WORK, JUST GIVING THEM INCASE ANYONE ASKS.

    2. Relevant equations

    T=2π√(lcosα/g)
    Fixed l of 1.0 m
    What is g?



    3. The attempt at a solution

    Firstly, I have to get rid of the square root

    T^2 = 4π^2cosx/g
    I removed the l since it is equal to 1 and is a constant

    The problem is here already. What can I do to make it a linear function. The moment i squared the T it became a quadratic/ arc.

    I KNOW it isnt much, but i am struggling for so long and cant seem to get anywhere. Sorry about that guys.
     
    Last edited: Mar 29, 2012
  2. jcsd
  3. Mar 29, 2012 #2

    berkeman

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    Staff: Mentor

    In the beginning of your problem statement, you mention x and y. But then in the equation there is no "y". Is x the independent variable in the equation? If so, what is the dependent variable?
     
  4. Mar 29, 2012 #3
    T is the dependent variable
     
  5. Mar 29, 2012 #4

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    So you mean x and T rather than x and y?
     
  6. Mar 29, 2012 #5
    Yes, sorry.
     
  7. Mar 29, 2012 #6

    berkeman

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    Staff: Mentor

    Well I could be wrong, but I don't think you can fit a linear equation to the T = SQRT(cos(x)) equation that you are given. Are you maybe supposed to find the best linear fit across some small interval of x?
     
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