---
title: "An ideal fluid flows through a horizontal pipe that smoothly narrows to \\( \\tfrac{1}{2} \\) of its original diameter. How does the speed of the fluid in the narrow section \\( v_2 \\) compare to the speed in the wider section \\( v_1 \\)?"
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url: "https://nerd-notes.com/ubq/107018/"
date_modified: "2026-08-18T02:38:50+00:00"
---

# An ideal fluid flows through a horizontal pipe that smoothly narrows to \( \tfrac{1}{2} \) of its original diameter. How does the speed of the fluid in the narrow section \( v_2 \) compare to the speed in the wider section \( v_1 \)?

An ideal fluid flows through a horizontal pipe that smoothly narrows to \( \tfrac{1}{2} \) of its original diameter. How does the speed of the fluid in the narrow section \( v_2 \) compare to the speed in the wider section \( v_1 \)?

- **A.** \[ v_2 = \frac{v_1}{2} \]
- **B.** \[ v_2 = 4 v_1 \]
- **C.** \[ v_2 = \frac{v_1}{4} \]
- **D.** \[ v_2 = 2 v_1 \]

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/107018/*