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On a mild Saturday morning while people are working inside, the furnace keeps the temperature inside the building at 22°C. At noon the furnace is turned off, and the people go home. The temperature outside is a constant 12°C for the rest of the afternoon. If the time constant for the building is 4 hr, when will the temperature inside the building reach 15°C? If some windows are left open and the time constant drops to 2 hr, when will the temperature inside reach 15°C? If the time constant for the building is 4 hr, the temperature inside the building will reach 15°C about hr after noon.

On a mild Saturday morning while people are working inside, the furnace keeps the temperature inside the building at 22°C. At noon the furnace is turned off, and the people go home. The temperature outside is a constant 12°C for the rest of the afternoon. If the time constant for the building is 4 hr, when will the temperature inside the building reach 15°C? If some windows are left open and the time constant drops to 2 hr, when will the temperature inside reach 15°C? If the time constant for the building is 4 hr, the temperature inside the building will reach 15°C about hr after noon.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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On a mild Saturday morning while people are working inside, the furnace keeps the temperature inside the building at 22°C. At noon the furnace is turned off, and the people go home. The temperature outside is a constant 12°C for the rest of the afternoon. If the time constant for the building is 4 hr, when will the temperature inside the building reach 15°C? If some windows are left open and the time constant drops to 2 hr, when will the temperature inside reach 15°C? If the time constant for the building is 4 hr, the temperature inside the building will reach 15°C about (Round to the nearest tenth as needed.) hr after noon.
Transcribed Image Text:On a mild Saturday morning while people are working inside, the furnace keeps the temperature inside the building at 22°C. At noon the furnace is turned off, and the people go home. The temperature outside is a constant 12°C for the rest of the afternoon. If the time constant for the building is 4 hr, when will the temperature inside the building reach 15°C? If some windows are left open and the time constant drops to 2 hr, when will the temperature inside reach 15°C? If the time constant for the building is 4 hr, the temperature inside the building will reach 15°C about (Round to the nearest tenth as needed.) hr after noon.
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