A venturi meter is a device for measuring the speed of a fluid within a pipe. Th

Question

A venturi meter is a device for measuring the speed of a fluid within a pipe. The drawing shows a gas flowing at a speed v2 through a horizontal section of pipe whose cross-sectional area A2 = 0.0800 m2. The gas has a density of density = 1.70 kg/m3. The Venturi meter has a cross-sectional area of A1 = 0.0400 m2 and has been substituted for a section of the larger pipe. The pressure difference between the two sections is P2 - P1 = 170 Pa. Find the speed v2 of the gas in the larger original pipe.   m/s

A venturi meter is a device for measuring the speed of a fluid within a pipe. The drawing shows a gas flowing at a speed v2 through a horizontal section of pipe whose cross-sectional area A2 = 0.0800 m2. The gas has a density of density = 1.70 kg/m3. The Venturi meter has a cross-sectional area of A1 = 0.0400 m2 and has been substituted for a section of the larger pipe. The pressure difference between the two sections is P2 - P1 = 170 Pa. Find the speed v2 of the gas in the larger original pipe.

Explanation / Answer

p2-p1= 1/2(density)v^2

v = (2*(p2-p2)/density)^1/2 = (2*170/1.70)^1/2

v= 14.14

v2 = 14.14/0.08 = 176.75 m/s

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