ch14 chang

ch14 chang - 67 (a) The continuity equation yields Av = aV...

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67 (a) The continuity equation yields Av = aV and Bernoulli’s equation yields 1 2 ρv 2 = p + 1 2 ρV 2 , where p = p 2 p 1 . The first equation gives V =( A/a ) v . Use this to substitute for V in the second equation. You should obtain 1 2 ρv 2 = p + 1 2 ρ ( A/a ) 2 v 2 . Solve for v . The result is v = ± ² ² ² ³ 2 p ρ ´ 1 A 2 a 2 µ = 2 a 2 p ρ ( a 2 A 2 ) . (b) Substitute values to obtain v = 2(32 × 10 4 m 2 ) 2 (41 × 10 3
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