Calculate the water flow rate in the system shown in Fig. P8.92. The piping system includes four gate valves, two half-open globe valves, fourteen \(90^{\circ}\) regular elbows, and \(250 \mathrm{ft}\) of 2-in. schedule 40 commercial steel pipe (with an actual inside diameter of 2.067 in.). Assume threaded connections and a square-edged pipe entrance.

Figure P8.92

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220 ft 144 ft2. 60 ft Piping system 20 ft 30 ft -72 ft