What power is required to pump water at a rate of 3 m³/s from the lower to the upper reservoir? Assume the pipe head loss is given by h_L = 0.018(L/D)(V ²/2g), where L is the length of pipe, D is the pipe diameter, and V is the velocity in the pipe. Th e water temperature is 10°C, the water surface elevation in the lower reservoir is 150 m, and the surface elevation in the upper reservoir is 250 m. Th e pump elevation is 100 m, L₁ = 100 m, L₂ = 1000 m, D₁ = 1 m, and D₂ = 50 cm. Assume the pump and motor efficiency is 74%. In your solution, include the head loss at the pipe outlet and sketch the HGL and the EGL. Assume α = 1.0 at all locations.

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L, D2 L1, D