Question

Determine the anchoring force required to hold in place the conical nozzle attached to the end of the laboratory sink faucet shown in the figure below when the water flowrate is 11 gal/min. The nozzle weight is 0.2 lb. The nozzle inlet and exit inside diameters are 0.6 and 0.2 in., respectively. The nozzle axis is vertical and the axial distance between sections (1) and (2) is 1.2 in. The pressure at section (1) is 68 psi. Di= 0.6 in. Section (1) 1.2 in. Section (2) -D2 = 0.2 in. Q= 11gal/min

Answer 1

Application of the vertical or ₂-directional component of the linear momentum equation to the flow through this control volume leads to F = f wit, - I can hy of Won t P, A, a www-P2 Az - The conservation of mass equation yields m = fW, A, = 9W, A2 thes equation in (W, W₂) + Wg + P, A, & Ww - Pzt, becomes 2 A

m = 80 = 1.94 Slugs x 11 gal x y min 7.48 gal s min f = 0.04 75 slug/s w a 11 0 DI 11 gal X min ft X (0.6 ) 7.48 out the core = 12.5 ft is 4 min ® کو 4 1 X 12 TX 0.2 x 7.48X GO 4 112.3 l/s

68 16 4 x (0.6 in)" int 19.2 lb 11 w ff I b x 132.2 32 ft 12 Х The anchoring force required to hold in P, A, = P, 2D Ww = f g t = f g h (Dut Dan + D, D2 ) h 1.94 slug stug [(0.6 ingot (0.21)4 10.2in) + 0.6 lo x0.2 in XI in 321.2 in I 0.00591 16 PA2 12 Per 0 from equation 2 F = 00475(13-5 - 112-3) +0.2 +19-2 +0.00591 - 0 14.6616 place is 14.66 16. 17 28 in 3 f43