LectureExample_4-3

LectureExample_4-3 - Problem *4.122 [3] CS (moves at speed...

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Problem *4.122 [3] CS (moves at speed U) y x c d R x R y Given: Water jet striking moving vane Find: Force needed to hold vane to speed U = 5 m/s Solution: Basic equations: Momentum flux in x and y directions Assumptions: 1) Steady flow 2) Incompressible flow 3) Atmospheric pressure in jet 4) Uniform flow 5) Jet relative velocity is constant Then R x u 1 ρ V 1 A 1 () u 2 ρ V 2 A 2 + = VU ρ A [] ( ) cos θ ρ A + = R x ρ 2 A cos θ () 1 = A π 4 40 1000 m 2 = A 1.26 10 3 × m 2 = Using given data R x 1000 kg m 3 25 5 m s 2 × 1.26 × 10 3 × m 2 cos 150 deg 1 × Ns 2 kg m × = R x 940
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