- #1
Junior Newton
- 9
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Homework Statement
Mathematically prove how Newton's Law of Cooling is derived.
Homework Equations
Newton’s Law of Cooling states that the rate of change of a temperature of an object is directly proportional to the difference between its own temperature and the temperature of its surroundings (Smith, 2010). Therefore, from this information it can be seen that the following relationship can be interpreted.
dT/dt ∝ T-Ts
Where T = temperature of the object and t = time.
The Attempt at a Solution
not sure how the k comes into it?