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.
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.