**Understanding Venturi Meters**A Venturi meter is a device designed to measure the speed of a fluid within a pipe. The accompanying diagram illustrates a gas flowing at speed \( v_2 \) through a horizontal section of pipe with a cross-sectional area of \( A_2 = 0.0619 \, \text{m}^2 \). The gas has a density of \( \rho = 1.30 \, \text{kg/m}^3 \). The Venturi meter itself has an alternate cross-sectional area of \( A_1 = 0.0393 \, \text{m}^2 \), substituting a section of the larger pipe. The pressure difference between the two sections of the pipe is given as \( P_2 - P_1 = 90.8 \, \text{Pa} \). **Task:**- Find (a) the speed \( v_2 \) of the gas in the larger original pipe.- Find (b) the volume flow rate \( Q \) of the gas.**Diagram Explanation:**The diagram shows a pipe setup with a Venturi meter. The fluid enters the wider section of the pipe at \( A_2 \) and moves towards the narrower section at \( A_1 \), indicating the Venturi meter's location. Pressure gauges \( \text{Hi} \) and \( \text{Lo} \) measure the pressures \( P_2 \) and \( P_1 \) respectively, showcasing the pressure difference due to the change in speed and cross-sectional area. **Questions:**(a) Enter the calculated speed \( v_2 \) along with the respective units.(b) Enter the calculated volume flow rate \( Q \) along with the respective units. The form provides fields for entering these values and selecting appropriate units.

Given Data:Cross-sectional area 1 A1 = 0.0393 m2.Cross-sectional area 2 A2 = 0.0619 m2.Density of…

fluid within a pipe. The drawing shows a gas flowing at speed v₂ through a horizontal section of pipe whose cross- sectional area is A₂ = 0.0619 m². The gas has a density of p = 1.30 kg/m³. The Venturi meter has a cross-sectional area of A₁ = 0.0393 m² and has been substituted for a section of the larger pipe. The pressure difference between the two sections is P₂ - P₁ = 90.8 Pa. Find (a) the speed v₂ of the gas in the larger original pipe and (b) the volume flow rate Q of the gas.

fluid within a pipe. The drawing shows a gas flowing at speed v₂ through a horizontal section of pipe whose cross- sectional area is A₂ = 0.0619 m². The gas has a density of p = 1.30 kg/m³. The Venturi meter has a cross-sectional area of A₁ = 0.0393 m² and has been substituted for a section of the larger pipe. The pressure difference between the two sections is P₂ - P₁ = 90.8 Pa. Find (a) the speed v₂ of the gas in the larger original pipe and (b) the volume flow rate Q of the gas.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Variation of pressure

From the equation of pressure, pressure is directly proportional to the applied force.

Question

**Understanding Venturi Meters**

A Venturi meter is a device designed to measure the speed of a fluid within a pipe. The accompanying diagram illustrates a gas flowing at speed \( v_2 \) through a horizontal section of pipe with a cross-sectional area of \( A_2 = 0.0619 \, \text{m}^2 \). The gas has a density of \( \rho = 1.30 \, \text{kg/m}^3 \). The Venturi meter itself has an alternate cross-sectional area of \( A_1 = 0.0393 \, \text{m}^2 \), substituting a section of the larger pipe.

The pressure difference between the two sections of the pipe is given as \( P_2 - P_1 = 90.8 \, \text{Pa} \).

**Task:**
- Find (a) the speed \( v_2 \) of the gas in the larger original pipe.
- Find (b) the volume flow rate \( Q \) of the gas.

**Diagram Explanation:**

The diagram shows a pipe setup with a Venturi meter. The fluid enters the wider section of the pipe at \( A_2 \) and moves towards the narrower section at \( A_1 \), indicating the Venturi meter's location. Pressure gauges \( \text{Hi} \) and \( \text{Lo} \) measure the pressures \( P_2 \) and \( P_1 \) respectively, showcasing the pressure difference due to the change in speed and cross-sectional area.

**Questions:**

(a) Enter the calculated speed \( v_2 \) along with the respective units.

(b) Enter the calculated volume flow rate \( Q \) along with the respective units.

The form provides fields for entering these values and selecting appropriate units.

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