A venturi tube is a tube with a constriction in it. Pressure in a venturi tube c

Question

A venturi tube is a tube with a constriction in it. Pressure in a venturi tube can be measured by attaching a U-shaped fluid-filled device to the venturi tube as shown in the figure below. The density of air is 1.20 kg/m^3 and the density of water is 1 000 kg/m^3. Use g = 10 m/s^2. If the fluid in the U is water, and there is a 10.0 cm difference between the water levels on the two sides, what is the magnitude of the pressure difference between points 1 and 2 in the venturi tube? _____ Pa The venturi tube has air flowing through it If the cross-sectional area of the venturi tube is 5 times larger at point 1 than it is at point 2, what is the air speed at point 2? _____ m/s

Explanation / Answer

A

pressure difference = density of water *gravity *height difference

= 1000*10*0.1 = 1000 Pascal

B

By equation of continuity

A1*V1. = A2*V2

Therefore

V2= 5* V1

Using Bernoulli equation

P1 + .5*density of air* V1^2 = P1 + .5*density of air * V2^2

.5*1.2* 24* V1^2 = 1000

V2 = 69.44 m/sec

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