Talk:PlanetPhysics/SI Units and Derivations

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%%% This file is part of PlanetPhysics snapshot of 2011-09-01 %%% Primary Title: SI units and derivations %%% Primary Category Code: 06.20.Fn %%% Filename: SIUnitsAndDerivations.tex %%% Version: 4 %%% Owner: Wkbj79 %%% Author(s): Wkbj79 %%% PlanetPhysics is released under the GNU Free Documentation License. %%% You should have received a file called fdl.txt along with this file. %%% If not, please write to gnu@gnu.org. \documentclass[12pt]{article} \pagestyle{empty} \setlength{\paperwidth}{8.5in} \setlength{\paperheight}{11in}

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The seven SI base units are given in the table below. These units are assumed to be independent of each other.

\begin{center} \begin{tabular}{|c||c|c|} \hline \textbf{base quantity} & \textbf{SI base unit} & \textbf{symbol} \\ \hline \hline length, \htmladdnormallink{position}{http://planetphysics.us/encyclopedia/Position.html} & meter & $\mathrm{m}$ \\ \hline \htmladdnormallink{mass}{http://planetphysics.us/encyclopedia/CosmologicalConstant.html} & kilogram & $\mathrm{kg}$ \\ \hline time & second & $\mathrm{s}$ \\ \hline current & ampere & $\mathrm{A}$ \\ \hline \htmladdnormallink{temperature}{http://planetphysics.us/encyclopedia/BoltzmannConstant.html} & Kelvin & $\mathrm{K}$ \\ \hline amount of substance & mole & $\mathrm{mol}$ \\ \hline intensity & candela & $\mathrm{cd}$ \\ \hline \end{tabular} \end{center}

There are many quantities that can be measured using units that are derived from the base units. Some of these are written in terms of the base units. Some examples are given in the table below.

\begin{center} \begin{tabular}{|c||c|c|} \hline \textbf{quantity} & \textbf{SI derived unit} & \textbf{symbol} \\ \hline \hline area & \htmladdnormallink{square}{http://planetphysics.us/encyclopedia/PiecewiseLinear.html} meter & $\mathrm{m^2}$ \\ \hline \htmladdnormallink{volume}{http://planetphysics.us/encyclopedia/Volume.html} & cubic meter & $\mathrm{m^3}$ \\ \hline \htmladdnormallink{speed}{http://planetphysics.us/encyclopedia/Velocity.html}, \htmladdnormallink{velocity}{http://planetphysics.us/encyclopedia/Velocity.html} & meter per second & $\mathrm{m/s}$ \\ \hline \htmladdnormallink{acceleration}{http://planetphysics.us/encyclopedia/Acceleration.html} & meter per second squared & $\mathrm{m/s^2}$ \\ \hline density & kilogram per cubic meter & $\mathrm{kg/m^3}$ \\ \hline specific volume & cubic meter per kilogram & $\mathrm{m^3/kg}$ \\ \hline concentration & mole per cubic meter & $\mathrm{mol/m^3}$ \\ \hline \htmladdnormallink{wave}{http://planetphysics.us/encyclopedia/CosmologicalConstant2.html} number & reciprocal meter & $\mathrm{m^{-1}}$ \\ \hline current density & ampere per square meter & $\mathrm{A/m^2}$ \\ \hline \htmladdnormallink{magnetic field strength}{http://planetphysics.us/encyclopedia/MagneticInductionVector.html} & ampere per cubic meter & $\mathrm{A/m^3}$ \\ \hline luminance & candela per square meter & $\mathrm{cd/m^2}$ \\ \hline \end{tabular} \end{center}

Other derived units have their own names. Some examples are given in the table below.

\begin{center} \begin{tabular}{|c||c|c|c|} \hline \textbf{quantity} & \textbf{SI unit} & \textbf{symbol} & \textbf{derivation from other SI units} \\ \hline \hline volume & liter & $\mathrm{L}$ or $\mathrm{\ell}$ & $\mathrm{10^{-3}m^3}$ \\ \hline plane angle & radian & $\mathrm{rad}$ & \\ \hline \htmladdnormallink{solid}{http://planetphysics.us/encyclopedia/CoIntersections.html} angle & steradian & $\mathrm{sr}$ & \\ \hline frequency & hertz & $\mathrm{Hz}$ & $\mathrm{s^{-1}}$ \\ \hline \htmladdnormallink{force}{http://planetphysics.us/encyclopedia/Thrust.html} & newton & $\mathrm{N}$ & $\mathrm{kg \cdot m/s^2}$ \\ \hline pressure, stress & \htmladdnormallink{Pascal}{http://planetphysics.us/encyclopedia/LQG2.html} & $\mathrm{Pa}$ & $\mathrm{N/m^2}$ \\ \hline \htmladdnormallink{energy}{http://planetphysics.us/encyclopedia/CosmologicalConstant.html}, \htmladdnormallink{work}{http://planetphysics.us/encyclopedia/Work.html} & joule & $\mathrm{J}$ & $\mathrm{N \cdot m}$ \\ \hline \htmladdnormallink{power}{http://planetphysics.us/encyclopedia/Power.html} & watt & $\mathrm{W}$ & $\mathrm{J/s}$ \\ \hline \htmladdnormallink{charge}{http://planetphysics.us/encyclopedia/Charge.html} & coulomb & $\mathrm{C}$ & $\mathrm{A \cdot s}$ \\ \hline potential difference & volt & $\mathrm{V}$ & $\mathrm{W/A}$ \\ \hline \htmladdnormallink{resistance}{http://planetphysics.us/encyclopedia/Conduction.html} & ohm & $\mathrm{\Omega}$ & $\mathrm{V/A}$ \\ \hline temperature & degree Celsius & $\mathrm{{}^{\circ}C}$ & $\mathrm{K}+273.15$ \\ \hline \end{tabular} \end{center}

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\noindent Reference: National Institute of Standards and Technology, \htmladdnormallink{http://physics.nist.gov/cuu/Units/}{http://physics.nist.gov/cuu/Units/}

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