Question
Asked Dec 23, 2019
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The Venturi tube shown in Figure P9.48 may be used as a fluid flowmeter. Suppose the device is used at a service station to measure the flow rate of gasoline (ρ = 7.00 x 102 kg/m3 ) through a hose having an outlet radius of 1.20 cm. If the difference in pressure is measured to be P1 - P2 = 1.20 kPa and the radius of the inlet tube to the meter is 2.40 cm, find (a) the speed of the gasoline as it leaves the hose and (b) the fluid flow rate in cubic meters per second.

P1
P2
Figure P9.48
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P1 P2 Figure P9.48

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Expert Answer

Step 1

(a) Using the equation of continuity,

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4v; = 4,v, A, ||

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Step 2

Substitute the values in equation (1) to find the relation between the velocities.

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10-°m | 1.20 cm x 1cm v = 10°m 2.40 cm x 1cm = (0.0625)v ||

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Step 3

Applying Bernoulli’s th...

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ΔF .)'] 글이명 -(0,06251,):] -pv: (1-0.0625) 2 AP [2] VP(1-0.0625)

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