Urca
Well-Known Member
Here is a very simple equation i do regularly in school tell me if you can smoke non stop still
Application 4 : Newton's Law of Cooling
It is a model that describes, mathematically, the change in temperature of an object in a given environment. The law states that the rate of change (in time) of the temperature is proportional to the difference between the temperature T of the object and the temperature Te of the environment surrounding the object.
d T / d t = - k (T - Te)
Let x = T - Te so that dx / dt = dT / dt
Using the above change of variable, the above differential equation becomes
d x / d t = - k x
The solution to the above differential equation is given by
x = A e - k t
substitute x by T - Te
T - Te = A e - k t
Assume that at t = 0 the tempearture T = To
To - Te = A e 0
which gives A = To - Te
The final expression for T(t) i given by
T(t) = Te + (To - Te)e - k t
This last expression shows how the tempearture T of the object changes with time.
idk what this has to do with anything? btw never took physics so all that is beyond me