A warehouse is being built that will have neither heating nor cooling. Depending on the amount of insulation, the time constant for the building may range from 1 to 4 hr. To illustrate the effect insulation will have on the temperature inside the warehouse, assume the outside temperature varies as a sine wave, with a minimum of 12°C at 2:00 A.M. and a maximum of 32°C at 2:00 P.M. Assuming the exponential term (which involves the initial temperature To) has died off, what is the lowest temperature inside the building if the time constant is 1 hr? If it is 4 hr? What is the highest temperature inside the building if the time constant is 1 hr? If it is 4 hr? If the time constant is 1 hr, then the lowest temperature inside the building is about°C. (Round to the nearest tenth as needed.)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A warehouse is being built that will have neither heating nor cooling. Depending on the amount of insulation, the time constant for the building may range from 1 to 4
hr. To illustrate the effect insulation will have on the temperature inside the warehouse, assume the outside temperature varies as a sine wave, with a minimum of
12°C at 2:00 A.M. and a maximum of 32°C at 2:00 P.M. Assuming the exponential term (which involves the initial temperature To) has died off, what is the lowest
temperature inside the building if the time constant is 1 hr? If it is 4 hr? What is the highest temperature inside the building if the time constant is 1 hr? If it is 4 hr?
If the time constant is 1 hr, then the lowest temperature inside the building is about °C.
(Round to the nearest tenth as needed.)
Transcribed Image Text:A warehouse is being built that will have neither heating nor cooling. Depending on the amount of insulation, the time constant for the building may range from 1 to 4 hr. To illustrate the effect insulation will have on the temperature inside the warehouse, assume the outside temperature varies as a sine wave, with a minimum of 12°C at 2:00 A.M. and a maximum of 32°C at 2:00 P.M. Assuming the exponential term (which involves the initial temperature To) has died off, what is the lowest temperature inside the building if the time constant is 1 hr? If it is 4 hr? What is the highest temperature inside the building if the time constant is 1 hr? If it is 4 hr? If the time constant is 1 hr, then the lowest temperature inside the building is about °C. (Round to the nearest tenth as needed.)
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