Problem 2. A flat, circular hydrostatic air bearing has an outer diameter of 160 mm and a 5-mm-deep recess from the 50-mm diameter to the bearing center. The air pressure in the recess is 2 MPa, and the pressure around the outside of the bearing is 0.1 MPa. Determine the pressure distribution in the bearing if 0.3 kg of air is pumped through the bearing per second.