Water at 70°F flows by gravity from a large reservoir at a high elevation to a smaller one through a 57-ft-long, 2-in-di

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Water at 70°F flows by gravity from a large reservoir at a high
elevation to a smaller one through a 57-ft-long, 2-in-diameter cast
iron piping system that includes four standard flanged elbows, a
well-rounded entrance, a sharp-edged exit, and a fully open gate
valve. Taking the free surface of the lower reservoir as the
reference level, determine the
elevation z1 of the higher reservoir
for a flow rate of 10 ft3/min. The density and dynamic
viscosity of water at 70°F are ρ = 62.30
lbm/ft3 and μ = 2.360 lbm/ft·h =
6.556 × 10–4 lbm/ft·s. The roughness of the cast
iron pipe is ε = 0.00085 ft.
The elevation z1 of the higher
reservoir is _______ ft.