Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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3. A house is initially at 12° C when the power goes out. The outside temperature varies according to
Te = 9+10cos 2n t
where t is measured in days. The heat-loss coefficient for the house is k = 3 (this is the proportionality
constant in Newton's Law of Heat Transfer). Find a formula for the temperature inside the house and graph it
along with Te on the same axes. What is the time lag between the maximum inside and outside temperatures?
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Transcribed Image Text:3. A house is initially at 12° C when the power goes out. The outside temperature varies according to Te = 9+10cos 2n t where t is measured in days. The heat-loss coefficient for the house is k = 3 (this is the proportionality constant in Newton's Law of Heat Transfer). Find a formula for the temperature inside the house and graph it along with Te on the same axes. What is the time lag between the maximum inside and outside temperatures?
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