An axial flow compressor stage shown in Fig. P12.66 has the inlet and outlet velocity diagrams shown. Calculate the work per unit mass. Quantities are \(U_{1}=U_{2}=U=762 \mathrm{ft} / \mathrm{s}, V_{1}=440 \mathrm{ft} / \mathrm{s}, W_{1}=\) \(880 \mathrm{ft} / \mathrm{s}, \alpha_{1}=90^{\circ}, V_{2}=545 \mathrm{ft} / \mathrm{s}, W_{2}=622 \mathrm{ft} / \mathrm{s}\), and \(\alpha_{2}=53.8^{\circ}\).

Figure P12.66

W Blade U U V Section AA A A W2