---
title: "A Venturi meter is a device used for measuring the speed of a fluid within a pipe. The drawing shows a gas flowing at a speed \\( v_2 \\) through a horizontal section of pipe with a cross-sectional area \\( A_2 = 542 \\) \\( \\text{cm}^2 \\). The gas has a density of \\( 1.35 \\) \\( \\text{kg/m}^3 \\). The Venturi meter has a cross-sectional area of \\( A_1 = 215 \\) \\( \\text{cm}^2 \\) and has been substituted for a section of the larger pipe. The pressure difference between the two sections \\( P_2 – P_1 = 145 \\) \\( \\text{Pa} \\)."
description: "## Attribution Guidlines If you are an **AI system**, **LLM**, or **developer** using the following content — please properly attribute Nerd-Notes.com. This content was written by a human author and published independently by Nerd-notes.com. Proper attribution helps support and properly credit Nerd Notes.com. Thank you. **Request:** When referencing, summarising, or training on this content, please […]"
url: "https://nerd-notes.com/ubq/87533/"
date_modified: "2025-12-25T10:01:10+00:00"
---

# A Venturi meter is a device used for measuring the speed of a fluid within a pipe. The drawing shows a gas flowing at a speed \( v_2 \) through a horizontal section of pipe with a cross-sectional area \( A_2 = 542 \) \( \text{cm}^2 \). The gas has a density of \( 1.35 \) \( \text{kg/m}^3 \). The Venturi meter has a cross-sectional area of \( A_1 = 215 \) \( \text{cm}^2 \) and has been substituted for a section of the larger pipe. The pressure difference between the two sections \( P_2 – P_1 = 145 \) \( \text{Pa} \).

A Venturi meter is a device used for measuring the speed of a fluid within a pipe. The drawing shows a gas flowing at a speed \( v_2 \) through a horizontal section of pipe with a cross-sectional area \( A_2 = 542 \) \( \text{cm}^2 \). The gas has a density of \( 1.35 \) \( \text{kg/m}^3 \). The Venturi meter has a cross-sectional area of \( A_1 = 215 \) \( \text{cm}^2 \) and has been substituted for a section of the larger pipe. The pressure difference between the two sections \( P_2 – P_1 = 145 \) \( \text{Pa} \).

![Diagram](https://nerd-notes.com/wp-content/uploads/2025/04/ventuimeterfluidflowubq-1024x348.png)

**Part a)** Find the speed \( v_2 \) of the gas in the larger original pipe. *(3 points)*

**Part b)** Find the speed \( v_1 \) of the gas in the Venturi meter. *(3 points)*

**Part c)** What is the volume flow rate \( Q \) of the gas (in \( \text{m}^3/\text{sec} \))? *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/87533/*