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Dimensional Analysis

  1. Sep 2, 2014 #1
    1. The problem statement, all variables and given/known data
    Using Dimensional Analysis, determine the value of (n) in the expressions for Q.

    The Equation: Q = pie R^n (p2-p1) / 8 ηL

    2. Relevant equations
    [Q] = [L]^3 / [T}
    [L] = [L]
    [R] = [L]
    [p2 and p1] = [M] / {[L][T]^2}
    [η] = [M] / {[L][T]}

    pie, 8, and n don't has no dimensions.

    3. The attempt at a solution
    I tried to attempt it, but could't get past the stage where you plug in all the dimensions
  2. jcsd
  3. Sep 2, 2014 #2

    rude man

    User Avatar
    Homework Helper
    Gold Member

    You have, from your equation,

    L3T-1 = Ln ML-1T-2 LTM-1

    so combine the L's, T's and M's and solve for n.
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