Problem 4.145 - Problem 4.145 [Difficulty: 4] CS (moves at...

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Problem 4.145 [Difficulty: 4] CS (moves at speed instantaneous speed U) y x c d Given: Water jet striking moving vane/cart assembly Find: Angle θ at t = 5 s; Plot θ (t) Solution: Basic equation: Momentum flux in x direction for accelerating CV Assumptions: 1) No changes in CV 2) Incompressible flow 3) Atmospheric pressure in jet 4) Uniform flow 5) Constant jet relative velocity Then M a rfx u 1 ρ V 1 A 1 () u 2 ρ V 2 A 2 + = VU ρ A [] ( ) cos θ ρ A + = M a rfx ρ 2 A cos θ () 1 = or cos θ Ma rfx ρ 2 A = Since a rfx constant = then Ua rfx t = cos θ rfx ρ Va rfx t 2 A = θ acos 1 rfx ρ rfx t 2 A
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