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The friction velocity F of water flowing through a pipe is

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 7E Chapter 3.3

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

4 5 1 356 Reviews
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Problem 7E

The friction velocity F of water flowing through a pipe is given by  where g is the acceleration due to gravity, d is the diameter of the pipe, l is the length of the pipe, and h is the head loss. Estimate F, and find the uncertainty in the estimate, assuming that g = 9.80 m/s2 exactly, and that

a. d = 0.15 m and l = 30.0 m, both with negligible uncertainty, and h = 5.33 ± 0.02 m.

b. h = 5.33 m and l = 30.0 m, both with negligible uncertainty, and d = 0.15 ± 0.03 m.

c. d = 0.15 m and h = 5.33 m, both with negligible uncertainty, and l = 30.00 ± 0.04 m.

Step-by-Step Solution:

Answer :

Step 1 of 4 :

Given,

The friction velocity F of water flowing through a pipe is given by F = .

Where, g = acceleration due to gravity,

            d = diameter of the pipe and

            h = head loss.

The goal of the problem is

Given, d = 0.15 cm and l = 30.0 m, both with negligible uncertainty and h = 5.330.02m

                 g = 9.80 m/

            We have to find the estimate of F and the uncertainty in the estimate

           

      b) Given, h = 5.33 cm and l = 30.0 m, both with negligible uncertainty and d = 0.150.03m

                 g = 9.80 m/

            We have to find the estimate of F and the uncertainty in the estimate

     c) Given, d = 0.15 cm and h=5.33m, both with negligible uncertainty and l = 30.000.04m

                 g = 9.80 m/

            We have to find the estimate of F and the uncertainty in the estimate.

Step 2 of 4 :

The claim is to find the estimate of F and the uncertainty in the estimate

              Given,  d = 0.15 cm and l = 30.0 m, both with negligible uncertainty and h = 5.330.02m

                 g = 9.80 m/

       Where, = 0.02 and h = 5.33

We have, F =

     F =

                                                                    = 0.2555

Then we have to find

 =

Therefore =

                     = 0.110680

            Thus,   =

Then = 0.110680(

               = 0.02397

Therefore, =

Where,  = 0.02

= (0.02397) ( 0.02)

      = 0.000479 0.0005

Hence,  estimate of F  is 0.2555 and the uncertainty in the estimate is

0.25550.0005 m/s.

Step 3 of 4

Chapter 3.3, Problem 7E is Solved
Step 4 of 4

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. Since the solution to 7E from 3.3 chapter was answered, more than 252 students have viewed the full step-by-step answer. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. The full step-by-step solution to problem: 7E from chapter: 3.3 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. The answer to “The friction velocity F of water flowing through a pipe is given by where g is the acceleration due to gravity, d is the diameter of the pipe, l is the length of the pipe, and h is the head loss. Estimate F, and find the uncertainty in the estimate, assuming that g = 9.80 m/s2 exactly, and thata. d = 0.15 m and l = 30.0 m, both with negligible uncertainty, and h = 5.33 ± 0.02 m.________________b. h = 5.33 m and l = 30.0 m, both with negligible uncertainty, and d = 0.15 ± 0.03 m.________________c. d = 0.15 m and h = 5.33 m, both with negligible uncertainty, and l = 30.00 ± 0.04 m.” is broken down into a number of easy to follow steps, and 119 words. This full solution covers the following key subjects: uncertainty, both, negligible, pipe, estimate. This expansive textbook survival guide covers 153 chapters, and 2440 solutions.

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