a simple thermostat is in e the building with a desired tempera mperature, the furnace supplies heati above the desired temperature, the practice, there is some dead zone a ference is not sufficient to activate t at the amount of heating or cooling
a simple thermostat is in e the building with a desired tempera mperature, the furnace supplies heati above the desired temperature, the practice, there is some dead zone a ference is not sufficient to activate t at the amount of heating or cooling
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![a simple thermostat is installed that is used to compare
the actual temperature inside the building with a desired temperature Tp. If the actual tempera-
ture is below the desired temperature, the furnace supplies heating; otherwise, it is turned off.
If the actual temperature is above the desired temperature, the air conditioner supplies cool-
ing; otherwise, it is off. (In practice, there is some dead zone around the desired temperature
in which the temperature difference is not sufficient to activate the thermostat, but that is to be
ignored here.) Assuming that the amount of heating or cooling supplied is proportional to the
difference in temperature-that is,
U(1) = Ku[TDT(1)].
where Ky is the (positive) proportionality constant-find 7(1).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2df4d651-a502-4e9a-93b2-a531f91b18ad%2Fe8c54e87-626a-4d1a-ab78-df4629e04588%2Fan1l4wc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a simple thermostat is installed that is used to compare
the actual temperature inside the building with a desired temperature Tp. If the actual tempera-
ture is below the desired temperature, the furnace supplies heating; otherwise, it is turned off.
If the actual temperature is above the desired temperature, the air conditioner supplies cool-
ing; otherwise, it is off. (In practice, there is some dead zone around the desired temperature
in which the temperature difference is not sufficient to activate the thermostat, but that is to be
ignored here.) Assuming that the amount of heating or cooling supplied is proportional to the
difference in temperature-that is,
U(1) = Ku[TDT(1)].
where Ky is the (positive) proportionality constant-find 7(1).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
