Dimensional Analysis

  • #1

Homework Statement


Using Dimensional Analysis, determine the value of (n) in the expressions for Q.

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


Homework Equations


Given:
[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.

The Attempt at a Solution


I tried to attempt it, but could't get past the stage where you plug in all the dimensions
 

Answers and Replies

  • #2
rude man
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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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