Homework4_sol

Homework4_sol - Problem 4.71 HW 4 Solutions Problem 4.85...

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Problem 4.71 Problem 4.85 [3]
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Problem 4.73 Problem 4.87 [3]
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Problem 4.69 Problem 4.83 [3]
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Problem 4.61 [2] Given: Large tank with nozzle and wire Find: Tension in wire; plot for range of water depths Solution: Basic equation: Momentum flux in x direction for the tank Assumptions: 1) Steady flow 2) Incompressible flow 3) Atmospheric pressure throughout 4) Uniform flow Hence R x T = V ρ VA () = ρ V 2 A = ρ 2g y π d 2 4 = T 1 2 ρ g y π d 2 = (1) When y = 0.9 m T π 2 1000 × kg m 3 9.81 × m s 2 0.9 × m 0.015 m 2 × Ns 2 kg m × = T 3.12N = 0 0.3 0.6 0.9 1 2 3 4 y (m) T (N) From Eq 1 This graph can be plotted in Excel
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Problem 4.62 [2] CS R x V y Given: Nozzle hitting stationary cart Find: Value of M to hold stationary; plot M versu θ Solution: Basic equation: Momentum flux in x direction for the tank Assumptions: 1) Steady flow 2) Incompressible flow 3) Atmospheric pressure throughout 4) Uniform flow 5) Exit velocity is V Hence R x M g = V ρ V A () V cos θ VA + = ρ V 2 A cos θ () 1 = M ρ V 2 A g 1 cos θ = (1) When θ = 40 o M s 2 9.81 m 1000 ×
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Homework4_sol - Problem 4.71 HW 4 Solutions Problem 4.85...

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