How to use the newton cooling temperature calculator
Find the temperature of an object cooling in surroundings at a steady temperature. Enter initial object temperature, ambient temperature, cooling rate constant, elapsed time in the fields above; the temperature after time, temperature drop are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “how fast does coffee cool”, “Newton law of cooling”, “temperature after time”, “calculate newton cooling temperature”, “find temperature after time”.
Formula
Variables
- T0 — Initial object temperature (°C)
- Ta — Ambient temperature (°C)
- k — Cooling rate constant (1/min)
- t — Elapsed time (min)
Worked example
With initial object temperature = 90 °C, ambient temperature = 20 °C, cooling rate constant = 0.05 1/min, elapsed time = 30 min, the calculator gives temperature after time ≈ 35.61911 °C; temperature drop ≈ 54.38089 °C.
Frequently asked questions
What is the newton cooling temperature calculator used for?
Find the temperature of an object cooling in surroundings at a steady temperature. It helps with questions such as “how fast does coffee cool”, “Newton law of cooling”, “temperature after time”.
What is the formula for the newton cooling temperature calculation?
Temperature after time (°C) = Ta+(T0-Ta) × exp(-k × t). Temperature drop (°C) = T0-[Temperature after time]. Here T0 is initial object temperature (°C), Ta is ambient temperature (°C), k is cooling rate constant (1/min), t is elapsed time (min).
What inputs do I need for the newton cooling temperature calculator?
You need initial object temperature in °C, ambient temperature in °C, cooling rate constant in 1/min, elapsed time in min. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the newton cooling temperature calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the newton cooling temperature result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.