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Refer to Exercise 16. Assume that T0 = 73.1 ± 0.1 °F, Ta =

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

Solution for problem 28E 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 28E

Refer to Exercise 16. Assume that T0 = 73.1 ± 0.1 °F,  Ta = 37.5 ± 0.2°F, k = 0.032 min-1 with negligible uncertainty, and T = 50°F exactly. Estimate t, and find the relative uncertainty in the estimate.

Exercise 16: According to Newton’s law of cooling, the time t needed for an object at an initial temperature T0 to cool to a temperature T in an environment with ambient temperature Ta is given by

where k is a constant. Assume that for a certain type of container, k = 0.025 min-1. Let t be the number of minutes needed to cool the container to a temperature of 50oF. Assume that and . Estimate t, and find the uncertainty in the estimate.

Step-by-Step Solution:

Step 1 of 4</p>

Here we have to find the uncertainty of time t needed for an object

according to newton’s law of cooling

Given initial temperature

From this T0=73.1,

Given cool to a temperature

Given ambient temperature

From this Ta=37.5,

 And k=0.032 min-1

Step 2 of 4</p>

Here 

                                       =

                                       =111.56-79.06

                                                           =32.5

Step 3 of 4

Chapter 3.4, Problem 28E is Solved
Step 4 of 4

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

This full solution covers the following key subjects: estimate, temperature, uncertainty, assume, Cool. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. Since the solution to 28E from 3.4 chapter was answered, more than 248 students have viewed the full step-by-step answer. The answer to “Refer to Exercise 16. Assume that T0 = 73.1 ± 0.1 °F, Ta = 37.5 ± 0.2°F, k = 0.032 min-1 with negligible uncertainty, and T = 50°F exactly. Estimate t, and find the relative uncertainty in the estimate.Exercise 16: According to Newton’s law of cooling, the time t needed for an object at an initial temperature T0 to cool to a temperature T in an environment with ambient temperature Ta is given by where k is a constant. Assume that for a certain type of container, k = 0.025 min-1. Let t be the number of minutes needed to cool the container to a temperature of 50oF. Assume that and . Estimate t, and find the uncertainty in the estimate.” is broken down into a number of easy to follow steps, and 121 words. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. The full step-by-step solution to problem: 28E from chapter: 3.4 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM.

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Refer to Exercise 16. Assume that T0 = 73.1 ± 0.1 °F, Ta =

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