CGS System of Units Converter
The CGS system of units converter is a handy tool that you can use to find relations between SI units and the most popular CGS units.
A system of measurement is a set of units and rules relating them to each other. During many years of human history, numerous systems of measurement have been developed, including:
- Metric system of units – also known as MKS system (meter-kilogram-second) or the International System of Units (SI);
- Imperial system of units (e.g. foot and pound); and
- CGS system of units (centimeter-gram-second).
In the following text, you will find the definitions and conversion factors of CGS units in mechanics and electromagnetism. We have also prepared the table with commonly used physical constants in CGS units compared to SI units.
Meanwhile, if you work with viscosity, then our Stokes' law calculator and Poise-Stokes converter may come in very handy for you. Be sure to check these tools!
CGS units in mechanics
In mechanics, the definitions of the CGS system and of the MKS system are very similar because they differ only in the scale of two base units. The MKS units use meters 1 m1 m, kilograms 1 kg1 kg and seconds 1 s1 s, and the CGS units use centimeters 1 cm=0.01 m1 cm=0.01 m, grams 1 g=0.001 kg1 g=0.001 kg and seconds 1 s1 s.
In the table below, we have listed some CGS units with special names and their conversion factors to the MKS units.
Quantity (symbol) | CGS unit name (symbol) | Equivalent in SI units |
|---|---|---|
acceleration (a) | gal (Gal) | 10-2 m/s2 |
force (F) | dyne (dyn) | 10-5 N |
energy (E) | erg (erg) | 10-7 J |
pressure (p) | barye (Ba) | 10-1 Pa |
dynamic viscosity (μ) | poise (P) | 10-1 Pa·s |
kinematic viscosity (ν) | stokes (St) | 10-4 m2/s |
If you want to express another physical quantity in the CGS units system, you just need to use an appropriate formula. For example, since the units of power in the metric system are joules per second J/sJ/s or watts WW, the units of power in the CGS units are ergs per second erg/serg/s and 1 erg/s=10−7 J/s=10−7 W1 erg/s=10−7 J/s=10−7 W.
We prepared calculators that help determine the above physical quantities. For example, check the acceleration calculator to find acceleration using different methods or energy conversion calculator to learn about the variety of energy units.
CGS units in electromagnetism
The conversion factors of electromagnetic units in the CGS and International System of Units are more complicated. This is because of the differences in the expressing physical laws of electromagnetism. Moreover, there are a few different CGS subsystems.
For example, the factor keke (the Coulomb constant) we use in the Coulomb's law calculator and the electrostatic force equation:
equals:
-
1/4πϵ0=9×109 N⋅m2/C21/4πϵ0=9×109 N⋅m2/C2 in the metric system;
-
11 in the electrostatic CGS (ESU – electrostatic unit) system;
-
c2=2.997×1010 cm/sc2=2.997×1010 cm/s in the electromagnetic CGS (EMU – electrodynamic unit) system; and
-
11 in the Gaussian CGS system.
You can see that some CGS subsystems can simplify physical formulas. That's why it is so popular in many areas where there are a lot of theoretical calculations involving electromagnetism equations. In this CGS system of units converter, you can find relations between electromagnetic units of the International System of Units and the Gaussian CGS system. We have listed these with special names in the table below.
Quantity (symbol) | Gaussian CGS unit name (symbol) | Equivalent in SI units |
|---|---|---|
charge (q) | franklin (Fr) | 3.336×1010 C |
voltage (V) | statvolt (statV) | 299.8 V |
magnetic B field (B) | gauss (G) | 10-3 T |
magnetic H field (H) | oersted (Oe) | 79.577 A/m |
Physical constants in CGS units and MKS units
Differences between metric system units and CGS units obviously lead to a change in the value of physical constants. You will find some of them in the table below.
Constant (symbol) | Value – SI units | Value – Gaussian CGS units |
|---|---|---|
Atomic mass unit (u) | 1.66×10-27 | 1.66×10-24 g |
Bohr magneton (μB) | 9.27×10-24 J/T | 9.27×10-21 erg/G |
Bohr radius (a0) | 5.29×10-11 m | 5.29×10-9 m |
Boltzmann constant (kB) | 1.38×10-23 J/K | 1.38×10-16 erg/K |
Electron mass (me) | 9.11×10-31 kg | 9.11×10-28 g |
Elementary charge (e) | 1.6×10-19 C | 4.8×10-10 Fr |
Fine-structure constant (α) | 1/137 | 1/137 |
Gravitational constant (G) | 6.67×10-11 N·m2/kg2 | 6.67×10-8 dyn·cm2/g2 |
Planck constant (h) | 6.626×10-34 J·s | 6.626×10-27 erg·s |
Speed of light in vacuum (c) | 2.998×108 m/s | 2.998×1010 cm/s |
FAQs
- What does the CGS System of Units Converter do?
- With this CGS system of units converter, you can quickly convert CGS units to SI units and vice versa. Use the calculator above for instant results in your browser.
- Is the CGS System of Units Converter free to use?
- Yes. All Try To Calculator tools are free and do not require an account.
- Are my inputs stored or sent to a server?
- No. Calculations run locally in your browser. We do not collect the numbers you enter or the results shown.
- Can I use the CGS System of Units Converter for professional decisions?
- This tool is for education and quick estimates. For medical, legal, tax, or financial decisions, verify results with a qualified professional.
- Where can I find related calculators?
- Browse more Conversion tools on Try To Calculator at /conversion, or use the related calculators section on this page.
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