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Cerrena [4.2K]
3 years ago
5

Newton's Law of Cooling says that the rate of cooling of an object is proportional to the difference between its own temperature

and the temperature of its surrounding. Write a differential equation that expresses Newton's Law of Cooling for this particular situation.
Physics
1 answer:
ASHA 777 [7]3 years ago
3 0

Answer:

\frac{dQ}{dt} =-hA\Delta T(t)

Explanation:Newton.s law of cooling states that the rate of cooling of an object is proportional to the difference between its own temperatures and temperature of its surroundings. Mathematically,

\frac{dQ}{dt} =-hA [T(t)-T(s)]\\

\frac{dQ}{dt} =-hA\Delta T(t)

where Q is the heat transfer

h is heat transfer coefficient

A is the heat transfer surface area

T is the temperature of the object's surface

T(s) is the temperature of the surroundings

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