1. Consider water flowing to three faucets in a building through the very simple plumbing network shown below. Every section of pipe in the figure is 25 ft long. All of the piping is nominal half-inch type L copper piping. The inlet pressure to the main pipe is constant at 50psi and the pressure of the water leaving each faucet is 0 psi. The water has a temperature of 140°F. For the purposes of this analysis assume that there are no pressure losses in the fittings (elbows, tees, etc.) and that the only pressure losses are given by the following equation. \Delta P=f\left(\frac{L}{D}\right)\left(\frac{\rho V^{2}}{2}\right) Where f = 0.02, L is the length of pipe, D is the pipe diameter, V is the water velocity, and is the water density. What is the water flow rate in gallons per minute from each faucet A, B,and C?