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Homework Help: Liquid Mechanics

  1. Jul 22, 2009 #1
    1. The problem statement, all variables and given/known data
    The wavelength of [tex]\lambda[/tex] of waves on the surface of a water on a cup has three variables:
    surface tension of the water [tex]\sigma[/tex], water density [tex]\rho[/tex], and frequency of vibration f. Deduce the relationship of these three variable to the wavelength.

    Would the same relationship hold if you were on the moon?

    2. Relevant equations
    [tex]\lambda[/tex] = [tex]\lambda[/tex]([tex]\sigma[/tex], [tex]\rho[/tex], f)

    3. The attempt at a solution
  2. jcsd
  3. Jul 22, 2009 #2


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    Homework Helper

    I think you can use the Buckingham-pi theorem here but I don't quite know how it works

    But normally I'd do this

    [tex]\lambda = k \sigma^a \rho^b f^c[/tex]

    then write everything in tersm of the fundamental units and equate the units on the LHS and RHS
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