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Testing a proportional relationship without a graph

  1. Mar 26, 2013 #1
    1. The problem statement, all variables and given/known data

    Without a graph, test the suggestion that the speed, c, of the water wave is related to water depth, d, by:

    c ∝ d^1/2

    No other data is given, this is suppose to be collected by myself but I am revising for a practical exam paper without having the data given. Markscheme just says "suitable data evaluated twice; correct calc.s from correct depths; appropriate concl. drawn)
    2. Relevant equations

    As above

    3. The attempt at a solution

    Surely it's simply if c ∝ d^1/2, ∴ c=kd^1/2
    ∴ k = c/(d^1/2)

    and then I'd use collected data to find k?

    Can you please just say yes, or no and help me with what I have done?

    Thank you very much!!! :D
     
  2. jcsd
  3. Mar 26, 2013 #2
    I think you are on the right track.
    If you think about it you are actually calculating the gradient of a graph IF you did decide to plot a graph.
    Can you see what graph you would plot IF you had been asked for a graphical method?
     
  4. Mar 26, 2013 #3
    Thank you. :) Yeah I'm pretty sure it'd be c against d^1/2, which if proportional should be a straight line through the origin right?
     
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