Joule (J)

Energy unit · SI system

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The joule is the SI unit of energy, work and heat. Its symbol is J. One joule is the work done when a force of one newton moves its point of application through one metre, and equally the energy dissipated when one watt of power flows for one second.

That equivalence is the reason the unit exists. Before the nineteenth century, heat and mechanical work were treated as different things measured in different units, heat in calories and work in foot-pounds. James Prescott Joule spent years demonstrating that a fixed amount of mechanical work always produces the same amount of heat, most famously by stirring water with a paddle wheel driven by falling weights and measuring the temperature rise. Establishing that exchange rate, the mechanical equivalent of heat, unified mechanics and thermodynamics into one subject.

Because it is defined through the base units, the joule connects everything. It is a newton metre, a watt second, a coulomb volt and a kilogram metre squared per second squared, and every one of those forms appears in ordinary use depending on which branch of physics is speaking. Electrical, mechanical, thermal and chemical energy are all counted in the same unit, which is what makes energy accounting across a system possible at all.

The scale is human-sized in a useful way. Lifting an apple one metre takes about one joule. A heartbeat uses roughly one joule. Dropping a textbook from a desk releases about ten. Below that, joules become clumsy and the prefixed units take over; above it, kilojoules and megajoules do the same.

Food energy is properly measured in joules, and labels in Australia, New Zealand and the European Union give kilojoules alongside or instead of calories. The calorie survives in general use mainly through habit, and the conversion, one calorie equal to 4.184 joules, is fixed by definition rather than measured.

Nutrition, ballistics, battery capacity, laser output, explosive yield and the energy released by an earthquake are all quoted in joules or its multiples, which allows quantities from completely different domains to be compared directly.

One joule equals one newton metre, one watt second, about 0.239 calories, or about 0.000278 watt-hours.

Joule conversion table

UnitSymbol1 Joule equals1 of these equalsConverter
NanojoulenJ1000000000 nJ0.000000001 JJoules to Nanojoules
MicrojouleµJ1000000 µJ0.000001 JJoules to Microjoules
MillijoulemJ1000 mJ0.001 JJoules to Millijoules
CentijoulecJ100 cJ0.01 JJoules to Centijoules
DecijouledJ10 dJ0.1 JJoules to Decijoules
DecajouledaJ0.1 daJ10 JJoules to Decajoules
HectojoulehJ0.01 hJ100 JJoules to Hectojoules
KilojoulekJ0.001 kJ1000 JJoules to Kilojoules
MegajouleMJ0.000001 MJ1000000 JJoules to Megajoules
GigajouleGJ0.000000001 GJ1000000000 JJoules to Gigajoules
TerajouleTJ1 × 10-12 TJ1000000000000 JJoules to Terajoules
Caloriecal0.239005736138 cal4.184 JJoules to Calories
Kilocaloriekcal0.000239005736138 kcal4184 JJoules to Kilocalories
Watt-hourWh0.000277777777778 Wh3600 JJoules to Watt-hours
Kilowatt-hourkWh0.000000277777777778 kWh3600000 JJoules to Kilowatt-hours
ElectronvolteV6.24150907446 × 1018 eV1.602176634 × 10-19 JJoules to Electronvolts