Question
Newton's law of cooling
T(t)= Tm + (To-Tm)e^-kt, k >0\
Evaluate T(0). Simplify and explain the result
I'm very confused on how to do this, i think i will be able to explain the result but if you could help me simplify this that would be great, Thank you very much.
T(t)= Tm + (To-Tm)e^-kt, k >0\
Evaluate T(0). Simplify and explain the result
I'm very confused on how to do this, i think i will be able to explain the result but if you could help me simplify this that would be great, Thank you very much.
Answers
Damon
Tm is the final temp after a long time as you can see from the equation. This is normally the temperature in the surrounding environment.
To is the starting temperature.
T(0) = Tm + To e^0 - Tm e^0
but e^0 is 1
so
T(0) = Tm + To - Tm
or
T(0) = To
or in other words the temp at T = 0 is the starting temp To
what else is new?
To is the starting temperature.
T(0) = Tm + To e^0 - Tm e^0
but e^0 is 1
so
T(0) = Tm + To - Tm
or
T(0) = To
or in other words the temp at T = 0 is the starting temp To
what else is new?