Units

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Units in Euler (units)

Units in Euler and conversion routines.

Units in Euler

Revision by Horst Vogel.

Units are defined with an ending $, so that they become accessible globally. Euler can convert units with the -> syntax.

It is safest to use the units with the dollar sign to avoid confusion with variables.

Syntax for Conversions

The following units are known to Euler. You can define own units easily in the same manner.

kilometer$:=1000;
km$:=kilometer$;
cm$:=0.01;
mm$:=0.001;
minute$:=60;
min$:=minute$;
minutes$:=minute$;
hour$:=60*minute$;
h$:=hour$;
hours$:=hour$;
day$:=24*hour$;
days$:=day$;
d$:=day$;
year$:=365.2425*day$;
years$:=year$;
y$:=year$;

inch$:=0.0254;
in$:=inch$;
feet$:=12*inch$;
foot$:=feet$;
ft$:=feet$;
yard$:=3*feet$;
yards$:=yard$;
yd$:=yard$;
mile$:=1760*yard$;
miles$:=mile$;

kg$:=1;

sec$:=1;

ha$:=10000;
Ar$:=100;
Tagwerk$:=3408;
Acre$:=4046.8564224;
pt$:=0.376mm;

Euro$:=1.95593;

gammaEuler$:=0.577215664901532860606512090082402431042;
gamma$:=gammaEuler$;
c$:=299792458;
cLight$:=299792458;
lightyear$:=365.25*days$*c$;
ly$:=lightyear$;
astrounit$:=149597870700;
AU$:=astrounit$;
AE$:=AU$;
parsec$:=AU$/tan(1°/3600);
hquantum$:=6.62606957e-34;
mol$:=1;

Rgas$:=8.3144621;
KelvinMol$:=Rgas$/mol$;
Celsius0$:=273.15;
elemcharge$:=1.602176565e-19;
electronmass$:=0.910938291e-30;
protonmass$:=1.672621777e-27;
neutronmass$:=1.674927351e-27;
mumass$:=1e-3/mol$;
molair$:=28.949;
gravconstant$:=6.67384e-11;
calory$:=4.1868;
cal$:=calory$;
calories$:=cal$;

kJ$:=1000;

kW$:=1000;

kcal$:=1000*cal$;
gearth$:=9.80665;
g$:=gearth$;
PS$:=75*gearth$;
Torr$:=101325/760;

function FahrenheitToCelsius (x)

  Convert Fahrenheit to Celsius with (x-32)*5/9

function CelsiusToFahrenheit (x)

  Convert Celsius to Fahrenheit with x*9/5+32

function KelvinToCelsius (x)

  Convert Kelvin to Celsius with x-273.15

function CelsiusToKelvin (x)

  Convert Kelvin to Celsius with x+273.15

function rearth (lat:number, r1=6378137, r2=6356752)

  WSG84 radius of earth at that latitude

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