Homework Help is Here – Start Your Trial Now!
Math
Statistics
In the article “Measurements of the Thermal Conductivity and Thermal Diffusivity of Polymer Melts with the Short-Hot-Wire Method" (X. Zhang, W. Hendro, et al., International Journal of Thermophysics, 2002:1077–1090), the thermal diffusivity of a liquid measured by the transient short-hot-wire method is given by VIA nla where A is the thermal diffusivity; V and I are the voltage and current applied to the hot wire, respectively; 1 is the length of the wire; and A and a are quantities involving temperature whose values are estimated separately. In this article, the relative uncertainties of these quantities are given as follows: V, 0.01%; I, 0.01%; 1, 1%; A, 0.1%; a,1%. a. Find the relative uncertainty in 2. b. Which would reduce the relative uncertainty more: reducing the relative uncertainty in I to 0.5% or reducing the relative uncertainties in V, I, and A each to 0?

In the article “Measurements of the Thermal Conductivity and Thermal Diffusivity of Polymer Melts with the Short-Hot-Wire Method" (X. Zhang, W. Hendro, et al., International Journal of Thermophysics, 2002:1077–1090), the thermal diffusivity of a liquid measured by the transient short-hot-wire method is given by VIA nla where A is the thermal diffusivity; V and I are the voltage and current applied to the hot wire, respectively; 1 is the length of the wire; and A and a are quantities involving temperature whose values are estimated separately. In this article, the relative uncertainties of these quantities are given as follows: V, 0.01%; I, 0.01%; 1, 1%; A, 0.1%; a,1%. a. Find the relative uncertainty in 2. b. Which would reduce the relative uncertainty more: reducing the relative uncertainty in I to 0.5% or reducing the relative uncertainties in V, I, and A each to 0?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
In the article “Measurements of the Thermal Conductivity and Thermal Diffusivity of Polymer Melts with the Short-Hot-Wire Method" (X. Zhang, W. Hendro, et al., International Journal of Thermophysics, 2002:1077–1090), the thermal diffusivity of a liquid measured by the transient short-hot-wire method is given by VIA nla where A is the thermal diffusivity; V and I are the voltage and current applied to the hot wire, respectively; 1 is the length of the wire; and A and a are quantities involving temperature whose values are estimated separately. In this article, the relative uncertainties of these quantities are given as follows: V, 0.01%; I, 0.01%; 1, 1%; A, 0.1%; a,1%. a. Find the relative uncertainty in 2. b. Which would reduce the relative uncertainty more: reducing the relative uncertainty in I to 0.5% or reducing the relative uncertainties in V, I, and A each to 0?
Transcribed Image Text:In the article “Measurements of the Thermal Conductivity and Thermal Diffusivity of Polymer Melts with the Short-Hot-Wire Method" (X. Zhang, W. Hendro, et al., International Journal of Thermophysics, 2002:1077–1090), the thermal diffusivity of a liquid measured by the transient short-hot-wire method is given by VIA nla where A is the thermal diffusivity; V and I are the voltage and current applied to the hot wire, respectively; 1 is the length of the wire; and A and a are quantities involving temperature whose values are estimated separately. In this article, the relative uncertainties of these quantities are given as follows: V, 0.01%; I, 0.01%; 1, 1%; A, 0.1%; a,1%. a. Find the relative uncertainty in 2. b. Which would reduce the relative uncertainty more: reducing the relative uncertainty in I to 0.5% or reducing the relative uncertainties in V, I, and A each to 0?
Expert Solution
steps

Step by step

Solved in 4 steps with 5 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS