Definition:SI/Energy/Joule
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Definition
The joule is the SI unit of energy.
It is defined as being:
- the energy transferred to (or work done on) a body when a force of $1$ newton acts on that body in the direction of the force's motion through a distance of $1$ metre
- the energy dissipated as heat when an electric current of one ampere passes through a resistance of one ohm for one second.
Thus:
- $1 \, \mathrm J = 1 \, \mathrm N \, \mathrm m$
Conversion Factors
\(\ds \) | \(\) | \(\ds 1\) | joule | |||||||||||
\(\ds \) | \(=\) | \(\ds 10^7\) | ergs | |||||||||||
\(\ds \) | \(=\) | \(\ds 0.7376\) | foot-pound | |||||||||||
\(\ds \) | \(=\) | \(\ds 0.2389\) | $15 \cels$ calorie | |||||||||||
\(\ds \) | \(=\) | \(\ds 9.481 \times 10^{-4}\) | British thermal unit |
Symbol
- $\mathrm J$
The symbol for the joule is $\mathrm J$.
Its $\LaTeX$ code is \mathrm J
.
Base Units
The SI base units of the joule are:
- $\mathrm J := \mathrm {kg} \, \mathrm m^2 \mathrm s^{-2}$
where:
- $\mathrm {kg}$ denotes kilograms
- $\mathrm m$ denotes metres
- $\mathrm s$ denotes seconds (of time).
Source of Name
This entry was named for James Prescott Joule.
Sources
- 1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables ... (previous) ... (next): $\S 41$: Conversion Factors: Energy
- 1969: J.C. Anderson, D.M. Hum, B.G. Neal and J.H. Whitelaw: Data and Formulae for Engineering Students (2nd ed.) ... (previous) ... (next): $1.$ Units and Abbreviations: $1.2$ SI units $(2)$ Derived units
- 1976: Ralph J. Smith: Circuits, Devices and Systems (3rd ed.) ... (previous) ... (next): Chapter $1$: Electrical Quantities: Definitions and Laws: Definitions: Table $1$-$2$: Important Derived Quantities
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): energy
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): joule
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): energy
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): joule
- 2009: Murray R. Spiegel, Seymour Lipschutz and John Liu: Mathematical Handbook of Formulas and Tables (3rd ed.) ... (previous) ... (next): $\S 6$: Conversion Factors: Energy
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): joule
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): kinetic energy