---
title: "Water of density \\( \\rho \\) flows through the section of circular pipe shown in the figure. At Point A, where the diameter of the pipe is \\( D \\), the water has a pressure \\( P_0 \\) and velocity \\( v_0 \\). Point B is located a vertical distance \\( H \\) above Point A in a section of the pipe that has diameter \\( 2D \\).Which of the following expressions is equal to the pressure of the water at Point B?"
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url: "https://nerd-notes.com/ubq/112929/"
date_modified: "2026-05-03T09:36:30+00:00"
---

# Water of density \( \rho \) flows through the section of circular pipe shown in the figure. At Point A, where the diameter of the pipe is \( D \), the water has a pressure \( P_0 \) and velocity \( v_0 \). Point B is located a vertical distance \( H \) above Point A in a section of the pipe that has diameter \( 2D \).Which of the following expressions is equal to the pressure of the water at Point B?

Water of density \( \rho \) flows through the section of circular pipe shown in the figure. At Point A, where the diameter of the pipe is \( D \), the water has a pressure \( P_0 \) and velocity \( v_0 \). Point B is located a vertical distance \( H \) above Point A in a section of the pipe that has diameter \( 2D \).

Which of the following expressions is equal to the pressure of the water at Point B?

![The diagram shows a horizontally oriented circular pipe of initial diameter labeled ( D ) that bends smoothly upward into an S-shape and then levels off into a horizontal section whose diameter is labeled ( 2D ). On the lower horizontal section, a point on the pipe’s centerline is marked with a solid black dot and labeled "A". A right-pointing horizontal arrow originates at point A and is labeled ( v_0 ), indicating the fluid velocity at that point. Directly above point A, a dashed horizontal reference line extends across the page. A second dashed horizontal line, parallel to the first, is drawn through a point on the upper horizontal pipe section. The vertical distance between the two dashed lines is marked by a vertical bracket with arrowheads at both ends and labeled ( H ). On the upper horizontal pipe section, a solid black dot on the centerline is labeled "B". A vertical bracket on the left side of the lower dashed line shows the pipe diameter at A labeled ( D ). A similar bracket on the right side of the upper dashed line shows the pipe diameter at B labeled ( 2D ). All pipe walls are drawn as thin parallel curves representing the interior and exterior surfaces.](https://nerd-notes.com/wp-content/uploads/ubq-diagrams/nerd-notes-physical-setup-112929-1777800726-HWM9ry.jpg)

- **A.** \[ P_0 – \rho g H \]
- **B.** \[ P_0 – \rho g H + \frac{3}{8} \rho v_0^2 \]
- **C.** \[ P_0 – \rho g H + \frac{15}{32} \rho v_0^2 \]
- **D.** \[ 2 P_0 \]

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/112929/*