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.

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## 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 * e^{(- 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

## Newton’s Law of Cooling Definition

Newton’s law of cooling states the relationship between heat transfer when conduction, radiation, and convection are the dominating factors in a heat transfer problem. This relationship is described by the equation above.

## Newton’s Law of Cooling Example

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.