---
title: "An ideal, incompressible fluid flows through a horizontal pipe with a constant volume flow rate. The graph shows the cross-sectional area \\(A\\) of the pipe versus the fluid velocity \\(v\\). In a wide section of the pipe, the fluid velocity is \\(2.0 \\text{ m/s}\\). The fluid then flows into a narrower section that has a radius exactly half that of the wide section. What is the fluid velocity in the narrower section?"
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url: "https://nerd-notes.com/ubq/110803/"
date_modified: "2026-04-08T03:12:37+00:00"
---

# An ideal, incompressible fluid flows through a horizontal pipe with a constant volume flow rate. The graph shows the cross-sectional area \(A\) of the pipe versus the fluid velocity \(v\). In a wide section of the pipe, the fluid velocity is \(2.0 \text{ m/s}\). The fluid then flows into a narrower section that has a radius exactly half that of the wide section. What is the fluid velocity in the narrower section?

An ideal, incompressible fluid flows through a horizontal pipe with a constant volume flow rate. The graph shows the cross-sectional area \(A\) of the pipe versus the fluid velocity \(v\). In a wide section of the pipe, the fluid velocity is \(2.0 \text{ m/s}\). The fluid then flows into a narrower section that has a radius exactly half that of the wide section. What is the fluid velocity in the narrower section?

![A graph with Fluid Velocity v in meters per second (m/s) on the horizontal axis from 0 to 10 and Cross-sectional Area A in square centimeters (cm^2) on the vertical axis from 0 to 20. The curve is a hyperbola showing an inverse relationship. Key data points plotted on the curve are (1, 16), (2, 8), (4, 4), and (8, 2). Grid lines are clearly visible at intervals of 2 units on both axes.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-graph-1-1775617957-vsX7GU.jpg)

- **A.** \(1.0 \text{ m/s}\)
- **B.** \(4.0 \text{ m/s}\)
- **C.** \(8.0 \text{ m/s}\)
- **D.** \(16.0 \text{ m/s}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/110803/*