# Liquid Mechanics

1. Jul 22, 2009

### pisiks

1. The problem statement, all variables and given/known data
The wavelength of $$\lambda$$ of waves on the surface of a water on a cup has three variables:
surface tension of the water $$\sigma$$, water density $$\rho$$, 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
$$\lambda$$ = $$\lambda$$($$\sigma$$, $$\rho$$, f)

3. The attempt at a solution

2. Jul 22, 2009

### rock.freak667

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

$$\lambda = k \sigma^a \rho^b f^c$$

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