(Solved): Consider steady flow of air through the device shown below (assume inviscid [negligible friction l ...

Consider steady flow of air through the device shown below (assume inviscid [negligible friction losses], incompressible flow, where the air density \( = \) constant \( =0.074887 \mathrm{lbm} / \mathrm{ft}^{3} \) ). The exit velocity, \( \boldsymbol{V} \), is \( 100 \mathrm{ft} / \mathrm{s} \) and the differential pressure, \( \Delta \boldsymbol{P}\left(=\boldsymbol{P}_{\mathbf{1}}-\boldsymbol{P}_{\mathbf{2}}\right) \), across the nozzle is \( 6 \mathrm{lbf} / \mathrm{ft}^{2} \). Based on this information, determine (a) the height \( \boldsymbol{H} \) of the water in the manometer attached to the Pitot tube, and (b) the diameter \( \boldsymbol{d} \) of the nozzle. Express your answers in units of inches.