Air flows radially outward between the two parallel circular plates shown in Fig. P3.54. The pressure at the outer radius \(R_{o}=\) \(5.0 \mathrm{~cm}\) is atmospheric. Find the pressure at the inner radius \(R_{i}=\) \(0.5 \mathrm{~cm}\) if the air density is constant, the air flow is inviscid, the volume flow rate is \(4.0 \mathrm{~L} / \mathrm{s}\), and the plate spacing is \(h=0.125 \mathrm{~cm}\).

Figure P3.54

117 h 100 P. Patm 101.3 kPa T= 20C R V