An axial-flow fan operates in sea-level air at \(1350 \mathrm{rpm}\) and has a blade tip diameter of \(3 \mathrm{ft}\) and a root diameter of \(2.5 \mathrm{ft}\). The inlet angles are \(\alpha_{1}=55^{\circ}, \beta_{1}=30^{\circ}\), and at the exit \(\beta_{2}=60^{\circ}\). Estimate the volumetric flow rate, horsepower, and the outlet angle, \(\alpha_{2}\).