On a hot Saturday morning while people are working inside, the air conditioner keeps the temperature inside the building at 21°C. At noon the air conditioner is turned off, and the people go home. The temperature outside is a constant 33°C for the rest of the afternoon. If the time constant for the building is 3 hr, what will be the temperature inside the building at 2:00 P.M.? At 4:00 P.M.? When will the temperature inside the building reach 24°C?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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On a hot Saturday morning while people are working inside, the air
conditioner keeps the temperature inside the building at 21°C. At noon the
air conditioner is turned off, and the people go home. The temperature
outside is a constant 33°C for the rest of the afternoon. If the time constant
for the building is 3 hr, what will be the temperature inside the building at
2:00 P.M.? At 4:00 P.M.? When will the temperature inside the building
reach 24°C?
Transcribed Image Text:On a hot Saturday morning while people are working inside, the air conditioner keeps the temperature inside the building at 21°C. At noon the air conditioner is turned off, and the people go home. The temperature outside is a constant 33°C for the rest of the afternoon. If the time constant for the building is 3 hr, what will be the temperature inside the building at 2:00 P.M.? At 4:00 P.M.? When will the temperature inside the building reach 24°C?
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