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Consider the piping system shown in the accompanying figure. The speed of water flowing through the 4 in. diameter section of the piping system is 3 ft/s. What is the volume flow rate of water in the piping system? Express the volume flow rate in ft 3 s , gpm, and L/s. For the case of steady flow of water through the piping system, what is the speed of water in the 3 in. diameter section of the system?

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Engineering Fundamentals: An Intro...

5th Edition
Saeed Moaveni
Publisher: Cengage Learning
ISBN: 9781305084766

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Chapter
Section
BuyFindarrow_forward

Engineering Fundamentals: An Intro...

5th Edition
Saeed Moaveni
Publisher: Cengage Learning
ISBN: 9781305084766
Chapter 8, Problem 26P
Textbook Problem
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Consider the piping system shown in the accompanying figure. The speed of water flowing through the 4 in. diameter section of the piping system is 3 ft/s. What is the volume flow rate of water in the piping system? Express the volume flow rate in ft 3 s , gpm, and L/s. For the case of steady flow of water through the piping system, what is the speed of water in the 3 in. diameter section of the system?

Chapter 8, Problem 26P, Consider the piping system shown in the accompanying figure. The speed of water flowing through the

To determine

Find the volume flow rate of water and the speed of water in the 3 in. diameter section of the system.

Explanation of Solution

Given data:

Refer to the Figure  problem 8.26 in the textbook for the piping system.

The speed of water in 4 in. diameter section is 3fts.

Formula used:

Write the expression for the volume flow rate.

Q=VaverageAc (1)

Here,

Ac is cross-sectional area, and

Vaverage is average velocity.

Write the expression for the average velocity.

Vaverage=π4d2 (2)

Here,

d is diameter, which is given as 4 in.

Calculation:

Substitute equation (2) in (1),

Q=(π4d2)Vaverage (3)

Substitute 3fts for Vaverage and 4 in. for d,

Q=π4(4in)2(3fts)=π4(4×0.0833ft)2(3fts)[1in=0.0833ft]

Q=0.262ft3s (4)

Convert the unit of Q in equation (4) from ft3s to gpm.

Q=0.262ft3s(7.48gal1ft3)(60s1min)    [1min=60s,and1ft3=7.48gal]118gpm

Convert the unit of Q in equation (4) from ft3s to Ls

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Chapter 8 Solutions

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
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