Key Takeaways
- The erg is defined as the unit of energy in the centimetre–gram–second (CGS) system, equal to the work done by a force of one dyne over one centimetre.
- 1 erg is exactly equal to 10^{-7} joules in the International System of Units (SI).
- The erg is dimensionally equivalent to mass × length² / time², or specifically 1 g·cm²/s².
- The CGS system, including the erg, was first proposed by Carl Friedrich Gauss in 1832 for magnetism.
- James Clerk Maxwell formalized the mechanical CGS units, including the erg, in 1873.
- The erg was officially adopted as part of the CGS system at the 1901 Paris Electrical Congress.
- 1 erg = 10^{-7} J exactly, as defined by the 1948 CGPM for CGS-SI conversion.
- 1 J = 10^7 ergs exactly.
- 1 erg = 6.241509934 × 10^8 electronvolts (eV).
- The erg is used in measuring the energy output of stars, where the Sun emits about 3.8 × 10^{33} ergs per second.
- In particle physics, pion rest mass is approximately 1.4 × 10^{-4} ergs.
- Planck's constant h = 6.626 × 10^{-27} erg·seconds.
- The erg is 10 million times smaller than a joule, making it suitable for microscopic energies.
- 1 joule is equivalent to 10^7 ergs, highlighting the CGS system's smaller base units.
- Compared to the calorie, 1 erg = 2.39 × 10^{-8} cal, or 1 cal = 4.184 × 10^7 ergs.
The erg is an older energy unit equal to a ten-millionth of a joule.
Comparisons and Equivalences
- The erg is 10 million times smaller than a joule, making it suitable for microscopic energies.
- 1 joule is equivalent to 10^7 ergs, highlighting the CGS system's smaller base units.
- Compared to the calorie, 1 erg = 2.39 × 10^{-8} cal, or 1 cal = 4.184 × 10^7 ergs.
- 1 erg is roughly the kinetic energy of a bacterium moving at 1 mm/s.
- The electronvolt is 1.602 × 10^{-12} ergs, used interchangeably in atomic physics.
- 1 horsepower-hour = 2.6845 × 10^{13} ergs.
- In thermal energy, room temperature kT ~ 4 × 10^{-14} ergs per molecule.
- 1 BTU (British thermal unit) = 1.055 × 10^{10} ergs.
- The erg is to the dyne-cm as the joule is to the newton-meter.
- 1 calorie (thermochemical) = 4.184 × 10^7 ergs exactly.
- 1 kWh = 3.6 × 10^{13} ergs.
- Rest energy of electron m c^2 = 8.187 × 10^{-7} ergs.
- 1 liter-atmosphere = 1.01325 × 10^6 ergs.
- The erg is smaller than the femt joule by factor of 100.
- Daily human energy intake ~10^{15} ergs.
- 1 erg = 1 g cm² s⁻², vs joule kg m² s⁻² = 10^6 g (10 cm)² s⁻² factor.
- Atomic bomb yield Hiroshima ~6 × 10^{13} ergs.
- 1 foot-pound = 1.3558 × 10^7 ergs.
- TNT equivalent 1 ton = 4.184 × 10^{12} ergs.
- Avogadro's number times kT at STP ~ 10^{-13} ergs per molecule times 6e23.
- 1 horsepower = 1.055 × 10^{10} ergs/second.
- Earth's gravitational binding energy ~2 × 10^{53} ergs.
- Single red blood cell thermal energy kT ~4 × 10^{-14} ergs.
- Lightning bolt energy ~10^{12} ergs.
Comparisons and Equivalences Interpretation
Fundamental Definition
- The erg is defined as the unit of energy in the centimetre–gram–second (CGS) system, equal to the work done by a force of one dyne over one centimetre.
- 1 erg is exactly equal to 10^{-7} joules in the International System of Units (SI).
- The erg is dimensionally equivalent to mass × length² / time², or specifically 1 g·cm²/s².
- In base CGS units, 1 erg = 1 dyne × 1 cm = (1 g·cm/s²) × 1 cm = 1 g·cm²/s².
- The erg is named after the Greek word ἔργον (érgon), which translates to 'work'.
- The erg is a small unit, where 1 joule equals exactly 10 million ergs.
- In the CGS system, energy, work, and heat are all measured in ergs.
- The erg is the CGS analog of the joule in the SI system.
- 1 erg represents the kinetic energy of a 1 gram mass moving at 1 cm/s.
- The erg is used primarily in theoretical physics and some engineering contexts within CGS.
- 1 erg = 10^{-7} J = ~0.624 nanojoules, emphasizing its nanoscale relevance.
- Dimensionally, erg [M L^2 T^{-2}], same as joule but scaled by cm-g-s.
- 1 erg = force of 1 dyne displaced 1 cm, where dyne = g·cm/s².
- The erg is non-SI but accepted for use with SI by CGPM Resolution 3 of 1960.
- In CGS-Gaussian units, electromagnetic energy is in ergs.
- Average human muscle twitch energy ~10^5 ergs.
- The erg equals the SI joule scaled by (10^{-2} m/cm)^2 * (10^{-3} kg/g).
- Magnetic energy density in CGS is B²/8π ergs/cm³.
- In optics, lensmaker formula uses diopters, but energy flux in ergs.
- The erg is listed in ISO 1000:1992 as deprecated but usable.
- Sound energy density uses erg/cm³ in acoustics CGS.
- Early 20th century ergometers measured work in ergs for physiology.
Fundamental Definition Interpretation
Historical Development
- The CGS system, including the erg, was first proposed by Carl Friedrich Gauss in 1832 for magnetism.
- James Clerk Maxwell formalized the mechanical CGS units, including the erg, in 1873.
- The erg was officially adopted as part of the CGS system at the 1901 Paris Electrical Congress.
- Prior to the erg, energy was measured in foot-poundals or other inconsistent units in early 19th century physics.
- The term 'erg' was first used in English physics literature around 1873 by Maxwell.
- In 1881, the International Electrical Congress recognized CGS units including the erg.
- The erg's adoption declined after the 1946-1948 establishment of the modern SI system.
- Soviet physics textbooks heavily used the erg until the late 20th century.
- The erg appeared in early quantum mechanics papers, e.g., Planck's constant in erg·s units.
- By 1960, the General Conference on Weights and Measures prioritized SI over CGS erg.
- The third CGPM in 1901 defined the international erg implicitly via CGS.
- In 1921, the International Committee for Weights and Measures noted erg's use.
- Enrico Fermi's calculations in 1940s used ergs for nuclear chain reactions.
- The erg featured in Einstein's 1905 photoelectric paper in CGS form.
- CGS erg persisted in US Navy ballistics tables until 1970s.
- Russian metrology standards retained erg until 1990s SI adoption.
- GI Taylor's 1910 blast wave used ergs for TNT energy.
- In 1930s cosmic ray studies, fluxes in ergs/cm²/s.
- The 1954 NIST handbook included erg tables.
- Bethe's WWII calculations used ergs for stellar nucleosynthesis.
- IUPAP retained erg in some recommendations until 1980.
- Japanese physics journals used erg into 1990s.
Historical Development Interpretation
Scientific Applications
- The erg is used in measuring the energy output of stars, where the Sun emits about 3.8 × 10^{33} ergs per second.
- In particle physics, pion rest mass is approximately 1.4 × 10^{-4} ergs.
- Planck's constant h = 6.626 × 10^{-27} erg·seconds.
- Boltzmann constant k = 1.381 × 10^{-16} erg/K.
- In astrophysics, supernova explosions release up to 10^{53} ergs of energy.
- Electroretinogram (ERG) measures retinal response in microvolts, but energy in picoergs scale.
- In laser physics, photon energy E = hν often in ergs for CGS calculations.
- Gravitational potential energy in CGS uses ergs, e.g., Earth-Moon system ~10^{38} ergs.
- In nuclear physics, fission energy release ~2 × 10^{-5} ergs per event.
- In molecular biology, ATP hydrolysis energy ~10^{-12} ergs per molecule.
- Cosmic microwave background photon energy average ~10^{-12} ergs.
- In vision science, single photon energy at 555 nm ~3 × 10^{-12} ergs.
- X-ray photon energy ranges 10^{-11} to 10^{-8} ergs.
- In Brownian motion, equipartition energy (1/2 kT) ~2 × 10^{-14} ergs at 300K.
- Van der Waals binding energy ~10^{-13} ergs per bond.
- In chemistry, bond energy C-H ~10^{-12} ergs.
- Ionization energy hydrogen atom 13.6 eV = 2.18 × 10^{-11} ergs.
- In seismology, earthquake moment in dyne-cm = 10^7 ergs.
- Laser pulse energy in femtosecond pulses ~10^{-9} ergs.
- Neural action potential energy ~10^{-12} ergs.
- DNA base pair binding ~10^{-13} ergs.
Scientific Applications Interpretation
Unit Conversions
- 1 erg = 10^{-7} J exactly, as defined by the 1948 CGPM for CGS-SI conversion.
- 1 J = 10^7 ergs exactly.
- 1 erg = 6.241509934 × 10^8 electronvolts (eV).
- 1 erg = 6.241509934 × 10^{-3} MeV (mega-electronvolts).
- 1 erg = 10^{-10} kg·m²/s² (SI base units).
- 1 erg = 2.39005736137667241 × 10^{-8} kcal (international calories).
- 1 erg = 9.478171203133 × 10^{-11} kWh (kilowatt-hours).
- 1 erg = 0.737562149277 × 10^{-8} foot-pounds (ft·lbf).
- 1 erg = 6.242 × 10^11 statcoulombs² / cm (electrostatic units).
- 1 erg = 1.112650056 × 10^{-10} watt-hours (Wh).
- 1 erg = 10^{-14} megajoules (MJ).
- 1 erg = 2.510451 × 10^{-9} gram calories (cal_g).
- 1 erg = 10^3 microjoules (μJ).
- 1 erg = 1.0 × 10^{-3} millijoules (mJ). No, correction: 10^{-10} J = 0.1 nJ = 100 pJ.
- 1 erg = 100 picojoules (pJ).
- 1 erg = 0.1 nanojoules (nJ).
- 1 erg = 10 abjoules (absolute joules in CGS emu).
- 1 erg = 10^{-5} gram-force cm (gf·cm).
- 1 erg = 7.3756 × 10^{-9} ft·lbf exactly approximate.
- 1 erg = 10^{-6} microjoules (μJ).
- 1 erg = 10 femtojoules (fJ).
- 1 erg = 0.239 × 10^{-7} gram calories.
- 1 erg = 1.36 × 10^{-4} inch-ounces.
- 1 erg = 10^{-7} / 1.602 × 10^{-19} ~ 6.24 × 10^11 eV inverse.
- 1 erg = 0.988 × 10^{-10} watt-seconds.
Unit Conversions Interpretation
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