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 * 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

  1. First, measure the ambient temperature

    This will be the temperature of the air surrounding the object.

  2. Next, measure the initial temperature

    This will be the initial temperature of the object or substance being analyzed.

  3. Determine the cooling coefficient

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

  4. 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.


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.

newont's law of cooling calculator
newtons law of cooling formula