---
title: "An ideal fluid flows through a horizontal pipe that narrows from a radius of \\( R \\) to a radius of \\( \\frac{R}{2} \\). If the initial speed of the fluid is \\( v \\), what is the new speed, and how does the internal pressure change?"
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url: "https://nerd-notes.com/ubq/107036/"
date_modified: "2026-08-18T02:38:43+00:00"
---

# An ideal fluid flows through a horizontal pipe that narrows from a radius of \( R \) to a radius of \( \frac{R}{2} \). If the initial speed of the fluid is \( v \), what is the new speed, and how does the internal pressure change?

An ideal fluid flows through a horizontal pipe that narrows from a radius of \( R \) to a radius of \( \frac{R}{2} \). If the initial speed of the fluid is \( v \), what is the new speed, and how does the internal pressure change?

- **A.** The speed becomes \( 2v \) and the pressure increases.
- **B.** The speed becomes \( 2v \) and the pressure decreases.
- **C.** The speed becomes \( 4v \) and the pressure increases.
- **D.** The speed becomes \( 4v \) and the pressure decreases.

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/107036/*