Enter the initial temperature, ambient temperature, cooling coefficient, and total time into the calculator. Using Newton’s law of cooling, the calculator will determine the final temperature.

## Newton’s Law of Cooling Formula

The following equation can be used to calculate the temperature of a substance after a certain time and cooling rate.

Tf = Ta + (Ti – Ta * exp(- c * t)

- Where Tf is the final temperature
- Ta is the ambient temperature
- Ti is the initial temperature
- c is the cooling coefficient
- t is the total time

How to calculate Newton’s Law of Cooling

**First, measure the ambient temperature**This will be the temperature of the air surrounding the object.

**Next, measure the initial temperature**This will be the initial temperature of the object or substance being analyzed.

**Determine the cooling coefficient**Calculate or measure the cooling coefficient using the material properties of the substance and the surface area.

**Calculate the final temperature**Enter the time period you wish to analyze along with the information from steps 1-3 into the formula above to calculate the final temperature.

## FAQ

**What is Newton’s Law of Cooling?**

Newton’s law of cooling is a term that i used to describe the application of Newton’s law of thermodynamics. It’s a simplified method of analyzing heat transfer when conduction, radiation, and convection are the dominating factors leading to heat transfer.