Early Monday morning, the temperature in the lecture hall has fallen to 42°F, the same as the temperature outside At 7:00 A.M., the janitor turns on the furnace with the thermostat set at 70°F. The time constant for the building is 1 1 1 = 2 hr and that for the building along with its heating system is K = hr. Assuming that the outside temperatu K₁ 2 remains constant, what will be the temperature inside the lecture hall at 8:00 A.M.? When will the temperature insic the hall reach 69°F? .... At 8:00 A.M., the temperature inside the lecture hall will be about F (Round to the nearest tenth as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Early Monday morning, the temperature in the lecture hall has fallen to 42°F, the same as the temperature outside.
At 7:00 A.M., the janitor turns on the furnace with the thermostat set at 70°F. The time constant for the building is
1
1 1
= 2 hr and that for the building along with its heating system is
K
= hr. Assuming that the outside temperature
K₁ 2
A
remains constant, what will be the temperature inside the lecture hall at 8:00 A.M.? When will the temperature inside
the hall reach 69°F?
.....
At 8:00 A.M., the temperature inside the lecture hall will be about
(Round to the nearest tenth as needed.)
°F.
Transcribed Image Text:Early Monday morning, the temperature in the lecture hall has fallen to 42°F, the same as the temperature outside. At 7:00 A.M., the janitor turns on the furnace with the thermostat set at 70°F. The time constant for the building is 1 1 1 = 2 hr and that for the building along with its heating system is K = hr. Assuming that the outside temperature K₁ 2 A remains constant, what will be the temperature inside the lecture hall at 8:00 A.M.? When will the temperature inside the hall reach 69°F? ..... At 8:00 A.M., the temperature inside the lecture hall will be about (Round to the nearest tenth as needed.) °F.
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