Pressure in a rotating cylinder

SonOfOle
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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,
 
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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&"
 
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