- #1
CyberneticsInside
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Member warned about posting without the homework template
Im stuck on this question, can someone please help me?
u(t) = input power [W].
x(t) = temperature in plate [Celsius]
v = 0, temperature of surroundings [Celsius]
C = 400, heat capacity for plate [J/ Celsius]
g = 2, heat transfer plate / air [W / Celsius]
Question is something like this:
You're playing with the heat plate (Kitchen). The plate might be considered like a flat heat element, that radiates heat to the surroundings.
Find a differential equation for x(t).
Nb: the change of temperature in the room migtht be neglected due to
air circulation
Should be on the form like: x'(t) = ax + bu
I assume i need to use the ΔE = W + Q, but i kind of have no clue how to even start.
I checked if there was a solutions manual but, it was partly broken. The only experience i have with modelling something with heat is the heat equation. But that's a partial differential equation, and only one-dimentional, and i 'm not sure how to handle two functions in one equation?
u(t) = input power [W].
x(t) = temperature in plate [Celsius]
v = 0, temperature of surroundings [Celsius]
C = 400, heat capacity for plate [J/ Celsius]
g = 2, heat transfer plate / air [W / Celsius]
Question is something like this:
You're playing with the heat plate (Kitchen). The plate might be considered like a flat heat element, that radiates heat to the surroundings.
Find a differential equation for x(t).
Nb: the change of temperature in the room migtht be neglected due to
air circulation
Should be on the form like: x'(t) = ax + bu
I assume i need to use the ΔE = W + Q, but i kind of have no clue how to even start.
I checked if there was a solutions manual but, it was partly broken. The only experience i have with modelling something with heat is the heat equation. But that's a partial differential equation, and only one-dimentional, and i 'm not sure how to handle two functions in one equation?