P15_050 - 50(a The speed v of the fluid flowing out of...

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Unformatted text preview: 50. (a) The speed v of the fluid flowing out of the hole satisfies 1 ρv 2 = ρgh or v = 2 ρ2 v2 A2 , which leads to ρ1 2ghA1 = ρ2 2ghA2 =⇒ √ 2gh. Thus, ρ1 v1 A1 = ρ1 A2 = =2. ρ2 A1 (b) The ratio of volume flow is R1 v1 A1 A1 1 = = =. R2 v2 A2 A2 2 (c) Letting R1 /R2 = 1, we obtain v1 /v2 = A2 /A1 = 2 = h1 /h2 . Thus h2 = h1 /4. ...
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