Newton's Law of Cooling Applications

AI Thread Summary
Practical applications of Newton's Law of Cooling include determining the time of death and cooling food items like soup. A third example suggested is measuring the temperature change of an object to determine its surface area by observing how long it takes to reach ambient temperature. Participants shared their experiences with similar experiments in class, highlighting the effectiveness of this method. The discussion emphasizes the importance of practical applications in understanding the law. Overall, the thread seeks additional examples beyond food and death scenarios.
maccaman
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As part of my research, i have to find 3 pratical examples that Newtons Law of cooling can be used for. So far i have two, finding the time someone died, and cooling down soup. I have to find a third, which does not involve food, or someone dying. if anyone could suggest a good third practical example of this law it would be greatly appreciated, thanks.
 
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By controlling the temperature of the object and the surroundings you could determine the surface area of the object by measuring how long it takes before the object has the same temperature as the surroundings.
 
HEY THAT WAS MINE! WE HAD TO DO THAT IN CLASS AS AN ExPERIMENT! THATS NOT FAIR.. I am glad though that someone else thought of it, my lab partners thought i was crazy.. but it worked and we got an A (98).
 
I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...

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