Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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### Fluid Dynamics Problem

**Problem Statement:**
The velocity of water changes uniformly along the transition from \( V_A = 10 \, \text{m/s} \) to \( V_B = 4 \, \text{m/s} \). The density of water \( \rho_w = 1000 \, \text{kg/m}^3 \). Assume the fluid is an ideal fluid, meaning it is incompressible and frictionless.

**Objective:**
Determine the pressure difference between point \( A \) and a point \( x = 1.5 \, \text{m} \) along the pipe. Express your answer using three significant figures.

**User Attempt:**
The user input a pressure difference calculation of \(-39875 \, \text{Pa}\).

**Feedback:**
The submitted answer was incorrect. The user is encouraged to try again, with 5 attempts remaining.

### Description of the Diagram

**Diagram:**
The diagram illustrates a fluid flow through a pipe with a varying cross-section. The pipe shows a narrowing section moving from left to right:

- Section \( A \) indicates the start of the transition with water velocity \( V_A = 10 \, \text{m/s} \).
- Section \( B \) shows the narrower end of the transition with water velocity \( V_B = 4 \, \text{m/s} \).
- The length from \( A \) to \( B \) is indicated as 2 meters.

The diagram visualizes the change in water velocity and accompanying cross-sectional area along the pipe.
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Transcribed Image Text:### Fluid Dynamics Problem **Problem Statement:** The velocity of water changes uniformly along the transition from \( V_A = 10 \, \text{m/s} \) to \( V_B = 4 \, \text{m/s} \). The density of water \( \rho_w = 1000 \, \text{kg/m}^3 \). Assume the fluid is an ideal fluid, meaning it is incompressible and frictionless. **Objective:** Determine the pressure difference between point \( A \) and a point \( x = 1.5 \, \text{m} \) along the pipe. Express your answer using three significant figures. **User Attempt:** The user input a pressure difference calculation of \(-39875 \, \text{Pa}\). **Feedback:** The submitted answer was incorrect. The user is encouraged to try again, with 5 attempts remaining. ### Description of the Diagram **Diagram:** The diagram illustrates a fluid flow through a pipe with a varying cross-section. The pipe shows a narrowing section moving from left to right: - Section \( A \) indicates the start of the transition with water velocity \( V_A = 10 \, \text{m/s} \). - Section \( B \) shows the narrower end of the transition with water velocity \( V_B = 4 \, \text{m/s} \). - The length from \( A \) to \( B \) is indicated as 2 meters. The diagram visualizes the change in water velocity and accompanying cross-sectional area along the pipe.
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