Newtons Law of Cooling Differential equation

In the previous post we have discussed about Derivative of secx and In today's session we are going to discuss about Newton's Law of Cooling Differential equation. Hello friends I hope you have well underst0ood all the previous topic , today we are going to discuss a new topic Newton s Law Of Cooling Differential Equation. As we all know that Newton’s law of motion are very popular to all of us, but very few people are aware of Newton’s law of cooling, according to this law , if we put any body in air then its temperature decreases or increases with its surroundings. As we all know that the cooling rate of any body depend on its surroundings, on this same fact Newton’s law was given. As this law is a very old law, so people are not having any knowledge of heat, so people have to accept this law without knowing that weather Newton done this law practically or not. In the same time when Newton law was introduced, one more law was there called as Stefan’s law, according to this law the energy radiated by a body in atmosphere is directly proportional to the fourth power of its temperature. There is a condition called as condition of thermal equilibrium in which Newton Law and Stefan’s law are same, there is one difference between Newton Law and Stefan Law is Newton Law always Deals with the internal temperature while Stefan law deal with temperature of body. (know more about Differential equation, here)

We can get the Newton’s Law Of Cooling Equation by some simple calculation but before we need to have knowledge of some terms like Heat Conductivity, area of martial and thickness of wall.

We will denote heat conductivity by K, thickness by t and area by A, so required equation for cooling law is,

dQ / dt = KA(θ – θo) / t.

Here θ is the temperature of outer surface and θo is the temperature of inner surface.

If you have 10th Cbse Sample Paper. Go through Transition Metal topic, it is a important topic in mathematics.