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Calculating Error from an Experiment

  1. Oct 20, 2009 #1
    1. The problem statement, all variables and given/known data

    From v = s×√(g/2h), where s is distance, g is gravity, and h is height, what would the expression of error for v?


    2. Relevant equations

    My physics lab manual gives the following equations to help out-

    multiplication rule- z= xy
    limit error for the above: δz= |z| (δx/|x| + δy/|y|)

    division rule- z = x/y
    limit error for the above: same as multiplication rule

    exact power- z=x^n
    limit error for the above: δz= |z|[|n| (δx/|x|)]

    3. The attempt at a solution

    What I did was try and use those equations and fit them to the equation I'm trying to solve for, the v= ... one.

    So my attempts are:

    δv= |v|(δs/|s| +(δ√(g/2h))/|√(g/2h)| )

    Then I would need to use the exact power rule for the square root portion but that's where I get stuck because the format calls for z = x^n. In terms of (sqrt) g/2h, x is g/2h, n is 1/2, but what would z be?

    Thanks for any help
     
  2. jcsd
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