A jet of water issuing from a nozzle at a volumetric flow rate, (Q), with a velocity,

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A jet of water issuing from a nozzle at a volumetric flow rate, \(Q\), with a velocity, \(v_{j}\), strikes a series of vanes mounted on a wheel as in Figure P11.13. This configuration is termed a Pelton wheel and it rotates with a peripheral velocity, \(v_{b}=\omega R\). The jet is split in half by the vanes, each half of the jet being deflected through an angle, \(\beta\). The entire system is at atmospheric pressure.

a. What is the power in the jet?

b. What power is given up by the jet to the blades?

c. What advantage results from splitting the jet in half?

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