The hydraulic turbine shown in Fig. P5.85 has a \(10{ }^{\circ} \mathrm{C}\) water flow rate of \(36.4 \mathrm{~m}^{3} / \mathrm{s}\), an inlet radius \(R_{1}=1.0 \mathrm{~m}\), an outlet radius \(R_{2}=0.50 \mathrm{~m}\), a blade depth (perpendicular to paper) \(h=0.50 \mathrm{~m}\), and a rotational speed \(N=360 \mathrm{rpm} ; V_{1}=50 \mathrm{~m} / \mathrm{s}, V_{2}=30 \mathrm{~m} / \mathrm{s}\), \(\alpha_{1}=13.4^{\circ}\), and \(\alpha_{2}=40^{\circ}\). Calculate the power transferred by the fluid to the rotor, the inlet relative velocity \(W_{1}\), and the direction \(W_{1}\) makes with the radius at the inlet.

Figure P5.85

Transcribed Image Text:

V W U V W2 Blade U2 R2 R @