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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 through a horizontal section of a pipe whose cross-sectional area is . The gas has a density of . The Venturi meter has a cross-sectional area of and has been substituted for a section of the larger pipe. The pressure difference between the two sections is .

  1. Find the speed of the gas in the larger original pipe.
  2. Find the volume flow rate of the gas.

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John Edward Cayas
John Edward CayasLv10
20 Jan 2021

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

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A pair of vertical, open-ended glass tubes inserted into a horizontal pipe are often used together to measure flow velocity in the pipe, a configuration called a Venturi meter. Consider such an arrangement with a horizontal pipe carrying fluid of density p. The fluid rises to heights h1 and h2 in the two open-ended tubes (see figure). The cross-sectional area of the pipe is A1 at the position of tube 1, and A2 at the position of tube 2.
Find p1, the gauge pressure at the bottom of tube 1.(Express answer in terms of quantities given in the introduction, and g.)

Find v1, the speed of the fluid in the left end of the main pipe. (express answers in terms of h1, h2, g, and either A1 and A2 or gamma which is equal to A1/A2.)

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In many devices involved in energy industries, a fluid(liquidor gas) flows through a pipe. If the cross-sectional areaofa pipe is 2.0 m2, and the fluid in it has a speed of1.5m/s:
a) What is the volume flow rate in m3/s? (i.e.,whatvolume of fluid pass through any cross-section of the pipeeverysecond?)
b) What mass of fluid passes through any cross-section ofthepipe every second, if the fluid has a density of1.0x103kg/m3?

A liquid (Ļ = 1.65 g/cm3) flows through a horizontal pipe of varying cross section . In the first section, the cross-sectional area is 10.0 cm2, the flow speed is 256 cm/s, and the pressure is 1.20 x 105 Pa. In the second section, the cross-sectional area is 3.50 cm2.

(a) Calculate the smaller section's speed flow

(b) Calculate the smaller section's pressure.

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