Chapter 11, Problem 069 1.30 k /m3 The A vantun ete is a davica for easuring th

Question

Chapter 11, Problem 069 1.30 k /m3 The A vantun ete is a davica for easuring th spead of a flu d it in a ipa. Tha dra i sho sa as fo ing at spaad v2 th a h a h f 20 tal section of ipe hose cross sectio al araa i6At 0.0780 m 2 The 9as as a density o he, been substituted fora ,ectio of the larger pipe The pressure difference between the two sections i5 P-Pi 126 Ps Find (e) thspeed 2 of the g35 in the larger original pipe and (b the volume fle rate Q of the g" entui metar has a crass-sectional a aa of A1 0.0167 a d · (e) Number (b) Number Click if you would like to show work for this question: Units Open stormt NK TO TEXT Question Attempts: of 5 usedSAVE FOR LATER versien 4.24

Explanation / Answer

from Bernoulli's principle

P1 + (1/2)*rho*v1^2 + rho*g*h1 = P2 + (1/2)*rho*v2^2 + rho*g*h2

P2 - P1 = (1/2)*rho*(v1^2 - v2^2) + rho*g*(h2-h1)

h1 = h2

P1 - P2 = 126 Pa

from equation of continuity

A1*v1 = A2*v2

v1 = (A2/A1)*v2

P2 - P1 = (1/2)*rho*( ((A2/A1)*v2)^2 - v2^2)

P2 - P1 = (1/2)*rho*v2^2*( (A2/A1)^2 - 1)

126 = (1/2)*1.3*v2^2*( (0.078/0.0167)^2 - 1)

speed v2 = 3.05 m/s   <<<<-------------ANSWER

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volume flow rate = A2*v2 = 0.078*3.05 = 0.238 m^3/s <<<<-----ANSWER

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