**Problem Statement:**Water \((\gamma_w = 62.4 \, \text{lb/ft}^3, \, \mu_w = 23.6 \times 10^{-6} \, \text{lb}\cdot\text{s/ft}^2)\) flows through the 4-in. diameter pipe below with an average velocity of 5 ft/s. Find the change in pressure over 39 ft of pipe. Provide your answer in \(\text{lb/ft}^2\).The pipe has a roughness of \(2 \times 10^{-4} \, \text{ft}\).**Diagram Explanation:**The diagram depicts a straight section of pipe with the following attributes:- Diameter (\(D\)): Represented by the vertical double-headed arrow, indicating the internal diameter of the pipe, which is 4 inches.- Length (\(L\)): Indicated by the horizontal double-headed arrow, representing a 39 ft section of the pipe.- The pipe is shown with slight shading to indicate a three-dimensional perspective and flow direction. The flow of water is demonstrated with arrows.Calculate the pressure change experienced by the water as it travels through this section, accounting for its physical properties and the pipe's specifications.

Given data:To find:Change in pressure i.e.

Water (Yw = 62.4- lb ft³ an average velocity of 5 ft/s. Find the change in pressure over 39 ft of pipe. Provide your answer in lb ft² " D μω = 23.6 × 10-6 lb-s ) flows through the 4-in. diameter pipe below with ft² The pipe has roughness of 2x10-4ft. L

Water (Yw = 62.4- lb ft³ an average velocity of 5 ft/s. Find the change in pressure over 39 ft of pipe. Provide your answer in lb ft² " D μω = 23.6 × 10-6 lb-s ) flows through the 4-in. diameter pipe below with ft² The pipe has roughness of 2x10-4ft. L

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Metrology of surface finish

In general terms, the application of scientific principles in the study of measurements is known as metrology. When speaking about measurement, it could be of time, length, microstructures, grain structures, internal crystal discontinuities, surface roughness, measurements of angles, height, width, and so on. While coming to the domain of mechanical engineering, metrology is considered the science of measurements of surface finish, length, surface texture, and angles.

Question

**Problem Statement:**

Water \((\gamma_w = 62.4 \, \text{lb/ft}^3, \, \mu_w = 23.6 \times 10^{-6} \, \text{lb}\cdot\text{s/ft}^2)\) flows through the 4-in. diameter pipe below with an average velocity of 5 ft/s. Find the change in pressure over 39 ft of pipe. Provide your answer in \(\text{lb/ft}^2\).

The pipe has a roughness of \(2 \times 10^{-4} \, \text{ft}\).

**Diagram Explanation:**

The diagram depicts a straight section of pipe with the following attributes:

- Diameter (\(D\)): Represented by the vertical double-headed arrow, indicating the internal diameter of the pipe, which is 4 inches.
- Length (\(L\)): Indicated by the horizontal double-headed arrow, representing a 39 ft section of the pipe.
- The pipe is shown with slight shading to indicate a three-dimensional perspective and flow direction. The flow of water is demonstrated with arrows.

Calculate the pressure change experienced by the water as it travels through this section, accounting for its physical properties and the pipe's specifications.

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Step 1: Determine the given variables

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Step 2: Calculating the Reynold's number

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Step 3: Calculating the friction factor

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Step 4: Calculating the head loss in the pipe

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Step 5: Calculating the change in pressure in the pipe

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