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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
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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?
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