Question

Two types of gasoline are blended together by passing them through a horizontal “wye” as shown in the figure below. Given: D3=D1=0.2 m, D2=0.1 m; Flow rate at section (1): Q1=0.03 m3 /s; Flow rate at section (2): Q2=0.0034 m3 /s; Pressure at section (3): P3=145 kPa; Density of gasoline: ρ=1000 kg/m3 ; Angles θ1=30°, θ2=45° a) Ignoring losses due to friction, determine the pressure at section (1) and section (2), in kPa. Neglect the difference in elevation between the different points. b) Find the x-component and the direction of the reaction force, in N. c) Find the y-component and the direction of the reaction force, in N. d) Determine the magnitude of the resultant reaction force (in N) and its direction. (Give your answer in terms of degrees from the positive x direction – for example, the direction of a resulting force acting horizontally in the positive x direction, without any y component, is θ = 0°; and a force resulting from equal contributions in the positive x and y directions is θ = 45°). a) P1 = _____________________ kPa P2 = _____________________ kPa b) Rx = _____________________ N c) Ry = _____________________ N d) magnitude and direction R,θ Rresultant = ___________________ N θ = _______ ° (with respect to positive x-direction) x y

D1 Q1 D3 P3 D2 Q2

Answer 1

Please refer the following images for the solution.

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0 82.6 & Final Soluhon dRyFy 14 84 617N . 82.68