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Proportinality graphs of data set

  1. Feb 22, 2008 #1
    1. The problem statement, all variables and given/known data

    I am given dataset for period of a pendulum.
    Length(cm) - 20 , 40 , 60 , 80 , 100
    Period(1 cycle)- .89 , 1.26 , 1.55 , 1.79 , 2.00

    Frequency(1/Period) 1.12,0.79,0.65,0.56,0.50
    Period^2 0.79,1.59,2.40,3.20,4.00

    2. Relevant equations
    I am suppose to create porportionality graphs, for data originally from the Length vs. Period data, the first graph provides a power relationship. As I go further to describe 1/Period, or known as the frequency I get an inverse relationship, now I need to make a third graph to create a linear relationship. My question is when modifying x-values to create porportionality graphs, do we only modify original data(x-values)? Since I have worked out Period^2 it does provide me with a linear relationship, now I just need to work on a porportionality statement. Would someone be able to confirm my answers. Also I need to relate the slope of the linear relationship to the frequency, I have no idea what that could be, but I am gonna keep thinking about it.

    Thank You Very Much

    3. The attempt at a solution
    Would this be the porportionality statement?
    Also I couldn't find the symbol for portionality, so thats the closest thing I could find.
  2. jcsd
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