Elementary Principles 276 - 7.52 (a). Bernoulli equation: P...

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7-31 7.52 (a). Bernoulli equation: ΔΔ Δ Pu gz ρ ++ = 2 2 0 Δ P = ×− × × =− 0 977 10 15 10 46 7 55 2 .. . di Pa 1 N / m m Pa 1.12 10 kg m s 3 3 2 2 Δ= = (9.8066 m / s m m s 22 2 ). / 65 8 8 bg B e r n o u l l i m/ s s ⇒=− = + Δ u uu 2 2 2 1 2 2 467 588 2 121 . = = 500 0800 0894 2 2 2 ./ ( ) ( . ) / . ms m / s 2 u (b). Since the fluid is incompressible, ± Vm s d u 3 1 2 12 2 2 44 == ππ dd u u 2 1 6 254 = cm cm . . . 7.53 (a) . ± VA u A u A A AA m m s m m s 32 2 did i = = = 11 2 2 2 1 1 2 4 21 4 (b). Bernoulli equation ( Δ z = 0) Δ Δ Δ P u PP P += = = 2 2 2 1 2 2 0 2 Multiply both sides by Substitute Multiply top and bottom of right - hand side by = 1 16 2 2 1 2 1 2 A note ± u 2 1 2 1 2 = PP V A 2 1 2 15 2 −= ± (c) g h V A V Ag h 2 1 2 2 1 2 15 2 2 15 1 = ⇒=
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