thermostat, which will turn the heat on when the room temperature drops h degrees below its set point, Ts, and cuts heat off at a temperature h degrees higher than Ts . The system heats at a constant rate Q (thermal units per time unit), and the volume of the room is V, so, if the room were perfectly insulated, the heating system would raise the temperature of the room at the rate KVQ (degrees per time unit), where K is a constant of proportionality giving the change in temperature per thermal unit per unit volume. However, there is a heat loss to the outside that is proportional to the difference in temperature between the room and the outside. Using the modified Euler method, write a FORTRAN program to simulate this system, if the room temperature at time is T(t), T(0) = To, and the outside %3D temperature, Tout' is given by: Case (1) : Tout is constant < Ts Case (2) : Tout = A sin(wt + p)| , reflecting daily cycles. A is temperature range, 2n/w is the period of a cycle, and p is the time lag (or lead).

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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thermostat, which will turn the
heat on when the room
temperature drops h degrees
below its set point, Ts, and cuts
heat off at a temperature h
degrees higher than Ts . The
system heats at a constant rate Q
(thermal units per time
unit), and the volume of the room
is V, so, if the room were
perfectly insulated, the heating
system would raise the
temperature of the room at the
rate KVQ (degrees per time
unit), where K is a constant of
proportionality giving the
change in temperature per thermal
unit per unit volume.
However, there is a heat loss to the
outside that is
proportional to the difference in
temperature between the
room and the outside. Using the
modified Euler method,
write a FORTRAN program to
simulate this system, if the
room temperature at time is T(t),
T(0) = To, and the outside
temperature, Tout' is given by:
Case (1) : Tout is constant < Ts
Case (2) : Tout = A sin(wt + 4)| ,
%3D
reflecting daily cycles. A is
temperature range, 2n/w is the
period of a cycle, and o is
the time lag (or lead).
Transcribed Image Text:thermostat, which will turn the heat on when the room temperature drops h degrees below its set point, Ts, and cuts heat off at a temperature h degrees higher than Ts . The system heats at a constant rate Q (thermal units per time unit), and the volume of the room is V, so, if the room were perfectly insulated, the heating system would raise the temperature of the room at the rate KVQ (degrees per time unit), where K is a constant of proportionality giving the change in temperature per thermal unit per unit volume. However, there is a heat loss to the outside that is proportional to the difference in temperature between the room and the outside. Using the modified Euler method, write a FORTRAN program to simulate this system, if the room temperature at time is T(t), T(0) = To, and the outside temperature, Tout' is given by: Case (1) : Tout is constant < Ts Case (2) : Tout = A sin(wt + 4)| , %3D reflecting daily cycles. A is temperature range, 2n/w is the period of a cycle, and o is the time lag (or lead).
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