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Newton's Law of Cooling Calculator

Science & Engineering

T(t)=Ta+(T0−Ta)e^(−kt) · food safety & annealing

Quick Answer

Newton's Law of Cooling Calculator: T(t)=Ta+(T0−Ta)e^(−kt) · food safety & annealing. Newton's Law of Cooling Calculator uses standard science & engineering formulas to compute accurate results instantly.

How it works

  1. 1T(t)=Ta+(T0−Ta)·e^(−kt) — the gap decays exponentially
  2. 2Enter initial & ambient temperature, cooling constant, elapsed time
  3. 3Calibrate k from two timed temperature readings
  4. 4Fast early cooling, asymptotically slow near ambient

Cooling parameters

°C
°C
/min
min
Temperature at t48.9°C
Gap closed：63.2%
Time constant 1/k：20.0 min
Food safety: cooked food should pass 60→20 °C within 2 h (through the danger zone fast) — use this to plan cooling time. k depends on cooling conditions (forced air is several × still air) and must be recalibrated per setup. Valid for modest ΔT with convection; at large ΔT radiative terms (Stefan-Boltzmann) add error.

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How to Use

  1. Enter known quantities: fill values and confirm units in the Newton's Law of Cooling Calculator.
  2. Instant solution: unknowns solve live with the formula shown transparently.
  3. Use constant/material tables: standard physical constants and material data are listed on this page.
  4. Compare conditions: change inputs to compare scenarios.

Key Points

  • Newton's Law of Cooling Calculator is a free online science & engineering tool — open and use, no sign-up.
  • All calculations run locally in your browser; your data never leaves the device.
  • Key capability: T(t)=Ta+(T0−Ta)e^(−kt) · food safety & annealing.
  • Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Newton's Law of Cooling Calculator formula

Newton's Law of Cooling Calculator uses standard science & engineering formulas to compute accurate results instantly.

FAQ

How do I use the Newton's Law of Cooling Calculator?
Open the page and fill in the input fields — results update automatically. T(t)=Ta+(T0−Ta)e^(−kt) · food safety & annealing.
Are the results accurate?
Yes. Standard formulas and conversion factors are used and verified.
Is it free? Do I need to sign up?
Completely free. No registration, login or download required.
Does it work on mobile?
Yes. The responsive design works on phones, tablets and desktops.
Is my data saved?
No. Everything runs locally in your browser.

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Source & Updates

Based on CODATA recommended constants and standard physics formulas. Last updated: 2025-07

Last updated:

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Maintained and periodically reviewed by the YiJianSuan editorial team — review process in ourEditorial Policy.

Cite this page: YiJianSuan. Newton's Law of Cooling Calculator[EB/OL]. https://www.yijiansuan.com/en/c/science/newton-cooling

Results provided by this tool are for reference only and do not constitute professional advice.