# Bernoulli's Equation and venturi meter

• keemosabi
In summary, the conversation discusses using a venturi meter to measure the speed of a fluid in a pipe. The gas has a density of 1.60 kg/m3 and is flowing at a speed of v2 through a horizontal section of pipe with a cross-sectional area of A2 = 0.0600 m2. A venturi meter with a cross-sectional area of A1 = 0.0300 m2 is used to substitute a section of the larger pipe, resulting in a pressure difference of P2 - P1 = 150 Pa. The task is to find the speed v2 in the larger original pipe and the volume flow rate Q of the gas. The equations av = av and Bernoulli's equation
keemosabi

## Homework Statement

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 = 0.0600 m2. The gas has a density of ρ = 1.60 kg/m3. The Venturi meter has a cross-sectional area of A1 = 0.0300 m2 and has been substituted for a section of the larger pipe. The pressure difference between the two sections is P2 - P1 = 150 Pa.

(a) Find the speed v2 of the gas in the larger original pipe.
m/s
(b) Find the volume flow rate Q of the gas.
m3/s

## The Attempt at a Solution

Hi keemosabi!

Show us what you've tried, and where you're stuck, and then we'll know how to help.

tiny-tim said:
Hi keemosabi!

Show us what you've tried, and where you're stuck, and then we'll know how to help.
I'm pretty sure I need the equations

and av = av, but I don't know where to go from there.

Anyone? :(

Nevermind, I got it. :)

Last edited:

## 1. What is Bernoulli's Equation?

Bernoulli's Equation is a fundamental principle in fluid dynamics that describes the relationship between the pressure, velocity, and elevation of a fluid at any point along a streamline. It states that as the velocity of a fluid increases, its pressure decreases, and vice versa.

## 2. How is Bernoulli's Equation used in real-world applications?

Bernoulli's Equation is used in a variety of real-world applications, including aircraft design, hydraulic systems, and ventilation systems. It is also used to explain phenomena such as lift on airplane wings and the flow of water through pipes.

## 3. What is a venturi meter?

A venturi meter is a device used to measure the flow rate of a fluid in a pipe. It consists of a narrow constriction in the pipe, which causes an increase in the fluid's velocity and a decrease in its pressure. By measuring the pressure difference before and after the constriction, the flow rate can be calculated using Bernoulli's Equation.

## 4. How accurate is a venturi meter in measuring flow rate?

A venturi meter is a highly accurate device for measuring flow rate, with a typical accuracy of 1-2%. However, its accuracy can be affected by factors such as the shape of the constriction, the viscosity of the fluid, and the presence of impurities in the fluid.

## 5. What are the limitations of Bernoulli's Equation and venturi meters?

Bernoulli's Equation is based on certain assumptions, such as the fluid being incompressible and the flow being steady and inviscid. In reality, these assumptions may not hold true, which can affect the accuracy of the equation and venturi meters. Additionally, venturi meters have a limited range of flow rates in which they can accurately measure, and they may also be affected by external factors such as vibrations or temperature changes.

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