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abruzzese [7]
4 years ago
11

Newton's Law of Cooling states that the rate of cooling of an object is proportional to the temperature difference between the o

bject and its surroundings, provided that this difference is not too large. Write a differential equation that expresses Newton's Law of Cooling for this particular situation. (Use t as the independent variable, y as the dependent variable, R as the room temperature, and k as a proportionality constant.)
Physics
1 answer:
Hoochie [10]4 years ago
3 0

Answer:

\frac{dy}{dt}=k(y_t-R)

Explanation:

According to Newton’s law of cooling, the rate of loss of heat from a body and the difference in the temperature of the body and its surroundings are proportional to each other.

\frac{dy}{dt}=k(y_t-R)

Here, y_t represents temperature at time t, R as the room temperature, t as the independent variable, y as the dependent variable.

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