Answered: Water flows at a rate of 2.4f * t ^ 3 /…

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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Please correct the answers for the attached part with step-by-step calculations:

Given information below:

Water flows at a rate of 2.4f * t ^ 3 / s in an old, rusty 7.8-in.-diameter pipe that has a relative roughness of 0.010. It is proposed that by inserting a smooth plastic liner with an inside diameter of 7.0 in. into the old pipe as shown in the Figure the pressure drop per mile can be reduced. Is it true that the lined pipe can carry the required 2.4f * t ^ 3 / s at a lower pressure drop than in the old pipe? Support your answer with appropriate calculations.

Attached Part that needs correcting.

Pressure drop is a function of flow rate and roughness.

**What is the mean velocity for the new 7.0 in. diameter pipe?**

- \( V_0 = 8.93 \, \text{ft/s} \)

**What is the Reynolds number for the new 7.0 in diameter pipe?**

- \( \text{Re} = 43300 \)

**What is the friction factor for the new 7.0 in diameter pipe?**

- \( f_0 = 0.0134 \)

**What is the pressure drop per mile for the new 7.0 in diameter pipe?**

- \( \Delta p_0 = 0.0288 \, \text{psi/mile} \)

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