A Venturi meter is a device for measuring the speed of a 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 = 0.0844 m2. The gas has a density of ρ = 1.30 kg/m3. The Venturi meter has a cross-sectional area of A1 = 0.0120 m2 and has been substituted for a section of the larger pipe. The pressure difference between the two sections is P2 - P1 = 130 Pa. Find (a) the speed v2 of the gas in the larger original pipe and (b) the volume flow rate Q of the gas. ### Venturi Meter Diagram ExplanationThe diagram illustrates the structure and function of a Venturi meter, which measures the flow rate of a fluid through a pipe.#### Components:1. **Pipe Sections:** - **Inlet and Outlet Sections**: These are the broader sections of the pipe with area \( A_2 \) and fluid velocity \( v_2 \). - **Throat Section**: The narrower section of the pipe with area \( A_1 \) and fluid velocity \( v_1 \).2. **Pressure Gauges:** - **Hi (High Pressure \( P_2 \))**: A pressure gauge located at the wider section of the pipe. - **Lo (Low Pressure \( P_1 \))**: A pressure gauge located at the throat of the Venturi meter.#### Functionality:- The fluid enters the Venturi meter with velocity \( v_2 \) and pressure \( P_2 \) at the larger cross-sectional area \( A_2 \).- As the fluid passes through the throat of the Venturi meter, the velocity increases to \( v_1 \) due to the reduced cross-sectional area \( A_1 \), causing a drop in pressure to \( P_1 \).- This pressure difference \( (P_2 - P_1) \) is used to calculate the flow rate of the fluid, based on the principle of conservation of energy and the Bernoulli equation.The Venturi meter is widely used in various engineering applications for accurate flow measurement due to its simple design and reliability.

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Answered: A Venturi meter is a device for…

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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A Venturi meter is a device for measuring the speed of a 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 = 0.0844 m². The gas has a density of ρ = 1.30 kg/m³. The Venturi meter has a cross-sectional area of A₁ = 0.0120 m² and has been substituted for a section of the larger pipe. The pressure difference between the two sections is P₂ - P₁ = 130 Pa. Find (a) the speed v₂ of the gas in the larger original pipe and (b) the volume flow rate Q of the gas.

### Venturi Meter Diagram Explanation

The diagram illustrates the structure and function of a Venturi meter, which measures the flow rate of a fluid through a pipe.

#### Components:

1. **Pipe Sections:**
- **Inlet and Outlet Sections**: These are the broader sections of the pipe with area \( A_2 \) and fluid velocity \( v_2 \).
- **Throat Section**: The narrower section of the pipe with area \( A_1 \) and fluid velocity \( v_1 \).

2. **Pressure Gauges:**
- **Hi (High Pressure \( P_2 \))**: A pressure gauge located at the wider section of the pipe.
- **Lo (Low Pressure \( P_1 \))**: A pressure gauge located at the throat of the Venturi meter.

#### Functionality:

- The fluid enters the Venturi meter with velocity \( v_2 \) and pressure \( P_2 \) at the larger cross-sectional area \( A_2 \).
- As the fluid passes through the throat of the Venturi meter, the velocity increases to \( v_1 \) due to the reduced cross-sectional area \( A_1 \), causing a drop in pressure to \( P_1 \).
- This pressure difference \( (P_2 - P_1) \) is used to calculate the flow rate of the fluid, based on the principle of conservation of energy and the Bernoulli equation.

The Venturi meter is widely used in various engineering applications for accurate flow measurement due to its simple design and reliability.

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