Question

Angular Momentum A rotating dishwasher arm delivers water to six nozzles, (D=5 mm). The total flow rate is 10 liters/min. Assume nozzle flows are equal and ignore friction. Estimate the arm's rotational rate, in rpm. 125 mm 150 mm f 40° 1 1 1 Bernoulli Kerosene (p= 804 kg/m?) flows from the tank shown. Estimate the flow rate Air: p = 137,900 Pa abs p. = 101,350 Pa abs 1.5 m D= 25 mm - - -

Answer 1

P=137900 Pa : Pa = 101350 Pa | 1.5m Kerosene At Bry 8=804kg/m2 'o = 25 mm . . using Bernoulli's the crem between point and point , Total energy at Point 1 - Total energy at Point 2 P + vit + ?1 = P2 + V2 + Z2 39 29 ..... . ... .where, Pi= Absolute pressure at Point 1 P2 = Absolute pressure at Point 2 Vi = velocity at point I V2 = velocity at Point 2 Zia Elevation at Point 1 72= Elevation at Point 2 S = Density of fluid 9 - acceration due to gravity 2 . 101350 - + 804 x 9.81 + 0 = . 137900 - + 0 804x9.81 +1.5 2x9.81 3.v2 / 137900 -101350). 1 +1.5 804 x 9.81 2x9.81 :. v2 1.1V = 120.35 = 10.97 m/s

Flow rare = cls area of pipe x velocity = ( 24 x D?)xv = ( x 0.0252 ) x 10.97 | 9 = 5.385x10-3 m3/s or 19.386 m3/ho