Question

Problem 2. Small vessels can be motorized via the attachment of a boat engine (Fig. 2a). These boat engines power an impeller that sucks in water through an intake pipe, which exits through an outlet pipe as a water jet (Fig. 2b). Given the intake pipe has diameter Din = 6 in and the outlet pipe has diameter Dout = 3 in, and the intake pipe meets the outlet pipe at an angle a = 120°, calculate the flow rate needed to produce a thrust force of 1000 N. (a) YAMAS Jet OYAMAHA Impeller Intake Figure 2: (a) Small motorized vessels powered by boat engines. (b) Schematic of a typical boat engine.

Answer 1

Die beste, O2 = 3 en A1 = f (0,3 = 4 (4 0.1934 in Az = 0 (2/24 0.049 in Density of sea wate fs = boxo Holy tor 2= 120 f "s= 1.025 Speutic 21025 leg/m3 . granty of Sea luz 1000 ghn wah force in ix-direction frc = P, AP, Azcsot sa crear la tev) Via d i Ve = a bag , Pic Pe so Fys_6259) - A solo bi foa 1025 @)X- 2000) = - 20881.120 free in ydirechon Force in x-direction 4x = Piar-P2A2 et Isa (Vicoso-V2) P = P270 Vis emne 5172, V = 9017 = 20.69Q Fo (025(Q)[5.1720 20-688] 5o = - 18547.37 Q² n face in a 4-dreebon fye fsacvi sino) = '2 1025 0(5.17 @ Singo) fy = 4589.28 go a Resultant force fav fazt fight a V (8547.390%]761589.21237 1000 = 19106.71 o7 To = 0.228 m/se Dischage Scanned with CamScanner