Deriving Newton's Law of Cooling: Explanation & Origins

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Newton's Law of Cooling describes how heat transfers from a warmer object to a cooler one at a rate proportional to the temperature difference. The law is derived from experimental evidence rather than theoretical foundations. It can also be linked to Stefan's law of black body radiation, assuming the temperature difference is relatively small. This connection provides a more scientific basis for understanding the cooling process. Overall, the discussion emphasizes the empirical nature of the law's derivation.
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I know what this law says, but I don´t know where does it comes from. Could somone please help me with the derivation of this law?
Thanks in advance.
 
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It's purely a matter of experimental evidence- heat flows from a warmer body to a cooler one at a rate proportional to the difference in temperatures.
 
OK Thanks.
 
you may derive this law from Stefan's law of black body radiation with the approximation that the temperature difference between the body and surrounding is not much large.
 

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