# Argument for relationship between scale length and frequency

1. Sep 2, 2009

### Eric_meyers

1. The problem statement, all variables and given/known data
Give an argument for there being a connection between scale length and frequency

2. Relevant equations

scale length = (wave length) / (Length)

3. The attempt at a solution

So from only my physical intuition I'm coming up with the longer the scale length the longer the wave length and thus by f = v/(lambda) the smaller the frequency. But is there a more physical interpretation of this?

2. Sep 2, 2009

### Zaphys

It comes from the wave eq. (in one dimension, for instance):

$$\partial$$2y/$$\partial$$x2=1/v2·$$\partial$$2y/$$\partial$$t2

as v is derivated from the tension on the string and its linear density.