A horizontal cylinder dosed from one end is rotated with a constant angular velocity co about a

Question:

A horizontal cylinder dosed from one end is rotated with a constant angular velocity co about a vertical axis passing through the open end of the cylinder. The outside air pressure is equal to Po, the temperature to T, and the molar mass of air to M. Find the air pressure as a function of the distance r from the rotation axis. The molar mass is assumed to be independent of r.