The amount of heat dissipated by a convective heat exchanger is governed by the equation Q=(AT)(A)/C where AT temperature difference between the outside air and heat exchanger, A = cross sectional area of the heat exchanger, and C= reciprocal of convective heat transfer coefficient. The inputs are normally distributed with the following characteristics.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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The amount of heat dissipated by a convective heat exchanger is governed by the equation
Q= (AT)(A)/C
where AT = temperature difference between the outside air and heat exchanger,
A = cross sectional area of the heat exchanger, and
C = reciprocal of convective heat transfer coefficient,
The inputs are normally distributed with the following characteristics.
Lower
Upper
Standard
Variable
Constraint
Constraint
Deviation
AT
10
50
0.02
A
5000
20 000
0.6
0.001
0.001
What are the nominal values for the inputs which would result in the least variation of output and also achieve a heat dissipation value of 100 000. For the answer, list the value of A.
Transcribed Image Text:The amount of heat dissipated by a convective heat exchanger is governed by the equation Q= (AT)(A)/C where AT = temperature difference between the outside air and heat exchanger, A = cross sectional area of the heat exchanger, and C = reciprocal of convective heat transfer coefficient, The inputs are normally distributed with the following characteristics. Lower Upper Standard Variable Constraint Constraint Deviation AT 10 50 0.02 A 5000 20 000 0.6 0.001 0.001 What are the nominal values for the inputs which would result in the least variation of output and also achieve a heat dissipation value of 100 000. For the answer, list the value of A.
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