Suppose the pump of Prob. 1467 has some swirl at the inlet such that 1 = 7 instead of 0. Calculate the net head

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Suppose the pump of Prob. 14–67 has some swirl at the inlet such that α₁ = 7° instead of 0°. Calculate the net head and required horsepower and compare to Prob. 14–67. Discuss. In particular, is the angle at which the fluid impinges on the impeller blade a critical parameter in the design of centrifugal pumps?

Data from Problem 14–67

A centrifugal pump rotates at ṅ = 750 rpm. Water enters the impeller normal to the blades (α₁ = 0°) and exits at an angle of 35° from radial (α₂ = 35°). The inlet radius is r₁ = 12.0 cm, at which the blade width b₁ = 18.0 cm. The outlet radius is r₂ = 24.0 cm, at which the blade width b₂ = 16.2 cm. The volume flow rate is 0.573 m³/s. Assuming 100 percent efficiency, calculate the net head produced by this pump in cm of water column height. Also calculate the required brake horsepower in W.