Newton’s Law of Cooling Calculus Problem | Differential Equation Of Cooling | Jake’s Math Lessons

Newton’s Law of Cooling Calculus Problem | Differential Equation Of Cooling | Jake’s Math Lessons
Newton’s Law of Cooling Calculus Problem | Cooling Differential Equation | Jake’s Math Lessons

In this video I have shown a calculus problem example about Newton's Law Of Cooling. I have found a differential equation problem.
The problem is -
A roast turkey is taken from an oven when its temperature has recorded 185° F and is placed on a table in a room where the temperature is 75° F

(a) If the temperature of the turkey is 150° F after half an hour, what is the temperature ?
(b) When will have the turkey have cooled to 100° F?

To solve this Problem We have to use Differential equation. The formula we need is
dT/dt = k ( T - Ts)
I will show some other differential equation problems later regarding newtons law of cooling . Hope you will stay tuned with this channel.

0:00 Check Out My Cheat Sheet
0:29 Cooling Calculus problem
0:56 Formula of Newtons Law Of Cooling Calculus Problem
6:14 Solve for k
7:12 Finding T(t)
8:05 Temperature after half an hour
9:03 Finding the t when the turkey will have cooled to 100 Degrees Fahrenheit.

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#differential_equation #Newton's_Law_Of_Cooling

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