# Newton's Law of Cooling

## Newton's Law of Cooling

Hello, I need help with this question:

On a hot Saturday morning while people are working inside, the air conditioner keeps the temperature inside the building at 24⁰C. At noon, the air conditioner is turned off, and the people go home. The temperature outside is a constant 35⁰C for the rest of the afternoon. If the time constant for the building is 4 hours, what will be the temperature inside the building at 2:00 PM? At 6:00 PM? When will the temperature inside the building reach 27⁰C? (Answers: 28.3⁰C, 32.5⁰C, 1:16 PM)

## Differential equations: Newton's Law of Coolin

Need help on this..DE Newton's Law of Cooling

A thermometer is removed from a room whose ambient temperature is 70° F and is taken outside.

After one minute the thermometer reads 60° F and after three minutes, it reads 55° F. **What is the outside
temperature (which is assumed to be constant)**? Find your answer by solving DE model of Newton’s Law

of cooling.

## How to Solve Newton's Law of Cooling

Hello, do you have any solved difficult sample problems about Newton's law of cooling for practice?

## Differential equations: Newton's Law of Cooling

Need help on this one. DE Newton's Law of Cooling

At 9 A.M., a thermometer reading 70°F is taken outdoors where the temperature is

l 5°F. At 9: 05 A.M., the thermometer reading is 45°F. At 9: 10 A.M., the thermometer is

taken back indoors where the temperature is fixed at 70°F. Find (a) the reading at

9: 20 A.M. and (b) when the reading, to the nearest degree, will show the correct

(70°F) indoor temperature.