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solids and fluids?
發問:
water flows at 2.4 m/s through a 1.59-cm diameter gar-den hose and emerges at atmospheric pressure from a noz-zle of radius 0.64 cm.what is the gauge pressure at the faucet?
最佳解答:
假設水的喉告喉咀是在同一高度，則依伯奴利原理 P1 + 0.5ρv12 = P2 + 0.5ρv12 同時依液體的連續流動： A1 = (1.59/2)2π；A2 = (0.64/2)2π；v1 = 2.4ms-1 A1v1 = A2v2 (1.59/2) 2π(2.4) = (0.64/2)2πv2 v2 = 14.81ms-1 ρ = 1000；P2 = 1.014x105Pa [標準大氣壓力] P1 + 0.5ρv12 = P2 + 0.5ρv12 P1 + 0.5(1000)( 2.4)2 = 1.014x105 + 0.5(1000)( 14.81)2 P1 = 2.081x105 Pa
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