- #1

fishspawned

- 66

- 15

Consider that I have a heating source that I can describe in terms of either degrees Celcius / second or Joules / second, but essentially I am able to determine a fixed heating rate.

Let's say:

**dT/dt =**

**5 degrees / second**

If I have an object in a room with a specific ambient temperature, it would also be experience simultaneous cooling, which is determined [i assume] through Newton's Law of Cooling, namely:

**T = (T**

_{o}- T_{room})e^{-kt}+ T_{room}Where

**k**is a constant and

**T**is the ambient temperature, also fixed.

_{room}The issue is how to combine these two things into one equation because with Newton's Law of Cooling, the assumption is that you start from a fixed initial temperature,

**T**. But if it is being heated, then

_{o}**T**is going to be changing as it gets warmed up, assuming the heating rate is larger than the cooling rate.

_{o}So I am hoping someone can offer some help in how this can be reconciled in some way - or is this simply regulated to hands on testing of the object to see what happens in the real world?