The performance data of a water pump follow the curve fit Havailable = H0 − aV.2 , where the pump’s shutoff head H0 = 7.46 m, coefficient a = 0.0453 m/(Lpm)2 , the units of pump head H are meters, and the units of V. are liters per minute (Lpm). The pump is used to pump water from one large reservoir to another large reservoir at a higher elevation. The free surfaces of both reservoirs are exposed to atmospheric pressure. The system curve simplifies to Hrequired = (z2 − z1) + bV.2 , where elevation difference z2 − z1 = 3.52 m, and coefficient b = 0.0261 m/(Lpm)2 . Calculate the operating point of the pump (V.operating and Hoperating) in appropriate units (Lpm and meters, respectively).
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