3. Drinking water is piped from a water main into a house via a PVC (i.e., smooth) pipe. There is a total of 20 linear feet of 1" diameter pipe between the water main and a point just inside the house that is 10 ft above the water main. This drinking water pipe branches from the water main (K₁ = 0.2), a water meter taps into the pipe (KL = 7), there are two 90° bends (K₁ = 1.5), and finally a (fully open) water shutoff ball valve (K₁ = 0.05) before the point just inside the house. The pipe maintains a flow of 0.05 ft³/s. If the goal is for the gage pressure of the water to be 8640 lb/ft² (aka 60 psi) just inside the house, what must the gage pressure of the water be at the water main? Leave your answer in lb/ft.2. water meter 90° elbow water shutoff house branch flow Il diameter z = 10 A ball valve, 90° elbow fully open z=0ft water main *drawing not to scale