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Refer to Exercise 10 in Section 3.2. Assume that ? = 30.0

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

Solution for problem 4E Chapter 3.4

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

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Problem 4E

Refer to Exercise 10 in Section 3.2. Assume that τ = 30.0 ± 0.1 Pa, h = 10.0 ± 0.2 mm, and μ= 1.49 Pa · s with negligible uncertainty.

a. Estimate V and find the uncertainty in the estimate.

b. Which would provide a greater reduction in the uncertainty in V: reducing the uncertainty in τ to 0.01 Pa or reducing the uncertainty in h to 0.1 mm?

EXERCISE 10: In a Couette flow, two large flat plates lie one on top of another, separated by a thin layer of fluid. If a shear stress is applied to the top plate, the viscosity of the fluid produces motion in the bottom plate as well. The velocity V in the top plate relative to the bottom plate is given by V = τh/μ, where τ is the shear stress applied to the top plate, h is the thickness of the fluid layer, and μ is the viscosity of the fluid. Assume that μ = 1.49 Pa • s and h = 10 mm, both with negligible uncertainty.

a. Suppose that τ = 30.0 ± 0.1 Pa. Estimate V, and find the uncertainty in the estimate.

b. If it is desired to estimate V with an uncertainty of 0.2 mm/s, what must be the uncertainty in τ?

Step-by-Step Solution:

Step 1 of 5</p>

Here we have to find the uncertainty of the velocity

Given velocity V=

The stress applied to the plate is

From this =30,

The thickness of the fluid layer is  

From this h=10, 

The viscosity of the fluid is

 

Step 2 of 5</p>

Now  V=

            =30(10)/1.49

           = 201.34

Step 3 of 5</p>

Now differentiate V with respect to and h

      =10/1.49

      =6.71

 

      =30/1.49

      =20.13

Step 4 of 5

Chapter 3.4, Problem 4E is Solved
Step 5 of 5

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

The full step-by-step solution to problem: 4E from chapter: 3.4 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. The answer to “Refer to Exercise 10 in Section 3.2. Assume that ? = 30.0 ± 0.1 Pa, h = 10.0 ± 0.2 mm, and ?= 1.49 Pa · s with negligible uncertainty.a. Estimate V and find the uncertainty in the estimate.________________b. Which would provide a greater reduction in the uncertainty in V: reducing the uncertainty in ? to 0.01 Pa or reducing the uncertainty in h to 0.1 mm?EXERCISE 10: In a Couette flow, two large flat plates lie one on top of another, separated by a thin layer of fluid. If a shear stress is applied to the top plate, the viscosity of the fluid produces motion in the bottom plate as well. The velocity V in the top plate relative to the bottom plate is given by V = ?h/?, where ? is the shear stress applied to the top plate, h is the thickness of the fluid layer, and ? is the viscosity of the fluid. Assume that ? = 1.49 Pa • s and h = 10 mm, both with negligible uncertainty.a. Suppose that ? = 30.0 ± 0.1 Pa. Estimate V, and find the uncertainty in the estimate.b. If it is desired to estimate V with an uncertainty of 0.2 mm/s, what must be the uncertainty in ??” is broken down into a number of easy to follow steps, and 211 words. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. Since the solution to 4E from 3.4 chapter was answered, more than 253 students have viewed the full step-by-step answer. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. This full solution covers the following key subjects: uncertainty, plate, estimate, fluid, top. This expansive textbook survival guide covers 153 chapters, and 2440 solutions.

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Refer to Exercise 10 in Section 3.2. Assume that ? = 30.0

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