Equations · equation

Newton's Law of Cooling

Heat Transfer · 1701

Equation
dT/dt = −k·(T − T_env)
Field
Heat Transfer
Named After
Isaac Newton
Symbols
T temperature of the object · T_env temperature of its surroundings · k a rate constant set by surface, material, and airflow · t time
Year
1701

Significance

A hot object cools in proportion to how much hotter it is than the room — so temperature decays exponentially toward the ambient. Published anonymously; still how coroners estimate time of death and how your coffee's temperature curve actually looks.

Skills

Theories

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From the Equations database in Notion, last edited 2026-08-18. This page is the row, rendered by the build; nothing on it is written by hand.