Pressure in a rotating cylinder

[SonOfOle]

Homework Statement

A space station consists of a large cylinder of radius $R_0$ filled with air. The cylinder spins about its symmetry axis at an angular velocity of $\Omega$ providing a centripetal acceleration of $g$ at the rim of the cylinder (at $R_0$).

If the temperature is constant inside the station, what is the ratio of the air pressure $P_c$ at the center of the cylinder to the air pressure at the rim $P_r$? (Treat the air as an ideal gas with each gas particle having a mass of $m$.

Homework Equations

PV=NRT...

The Attempt at a Solution

This is beyond where I know what to start with. Could someone point me in a good direction? (or know of a place online or in textbooks that I could look up how to approach problems like this?)

Thanks,

 

[Irid]

Take a look at question one in this page. There's a solution in PDF and PS formats (Czech language).

http://fykos.troja.mff.cuni.cz/index.php?id=2&serie=5&volume=21&lang=en&"