---
title: "A fluid flows through the two sections of cylindrical pipe shown in the figure. The narrow section of the pipe has radius \\( R \\) and the wide section has radius \\( 2R \\). What is the ratio of the fluid’s speed in the wide section of pipe to its speed in the narrow section of pipe, \\( \\frac{v_{\\text{wide}}}{v_{\\text{narrow}}} \\)?"
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/81524/"
date_modified: "2026-04-06T12:40:17+00:00"
---

# A fluid flows through the two sections of cylindrical pipe shown in the figure. The narrow section of the pipe has radius \( R \) and the wide section has radius \( 2R \). What is the ratio of the fluid’s speed in the wide section of pipe to its speed in the narrow section of pipe, \( \frac{v_{\text{wide}}}{v_{\text{narrow}}} \)?

A fluid flows through the two sections of cylindrical pipe shown in the figure. The narrow section of the pipe has radius \( R \) and the wide section has radius \( 2R \). What is the ratio of the fluid’s speed in the wide section of pipe to its speed in the narrow section of pipe, \( \dfrac{v_{\text{wide}}}{v_{\text{narrow}}} \)?

![Diagram](https://nerd-notes.com/wp-content/uploads/2025/03/Screenshot-2025-03-12-at-19.04.56.png)

- **A.** \[ \frac{1}{4} \]
- **B.** \[ \frac{1}{2} \]
- **C.** \[ 2 \]
- **D.** \[ 4 \]

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/81524/*