Figure P5.46 shows a lateral pipe fitting. This particular fitting has a mainline diameter of \(4.0 \mathrm{in}\). The diameter of the lateral is \(3.0 \mathrm{in}\)., and the lateral angle is \(45^{\circ} ; 60^{\circ} \mathrm{F}\) water is flowing in the lateral. Measurements show that the pressure at point 1 is 34.0 psig, the pressure at point 2 is 35.0 psig, the pressure at point 3 is \(33.5 \mathrm{psig}\), and the flow rate at point 2 is \(1.0 \mathrm{ft}^{3} / \mathrm{s}\). Determine the horizontal and vertical force components \(\left(F_{x}\right.\) and \(F_{y}\) ) required to hold the lateral fitting stationary. Neglect gravity. \(Q_{1}=1.63 \mathrm{ft}^{3} / \mathrm{s}\).

Figure P5.46

D = 4 in. F D3 = 3 in. Q3 F \0=45