(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Pressure(water)~density(water)xg(grav. accel.)xz(depth)

2. Relevant equations

3. The attempt at a solution

basically i'm doing a fermi problem regarding the pressure of water on Jupiter's moon Europa.

Now i tried coming up with the equation for pressure my self by pressure ~ densityxgxmxz because i had figured the mass of the water would matter. so

[M]^1[L]^(-1)[T]^(-1)=[MxL^(-3)]^x [LxT^(-2)]^y [M]^w [L]^z

and so we get that y = 1 and the equations we are left with are -2=-3x+z and 1=x+w. And so i need to get another approach to pressure that would include density and mass so i could get a relationship between x and w; or maybe a different relationship so i could get a value for z. At this point im stuck, from the Dim. analysis that i wrote in criteria 1(from the book) it seems i need to show that pressure is not dependent on mass.

Thanks in advance

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Dimensional Analysis

**Physics Forums | Science Articles, Homework Help, Discussion**