Units of Force
Description
Examples
Force has the dimension length mass per time squared. The SI unit of force is the newton, which is defined as a kilogram meter per second squared.
Maple knows the units of force listed in the following table.
Name
Symbols
Context
Alternate Spellings
Prefixes
newton
N
SI *
newtons
SI
gramforce
gf
gramforces
pond
standard *
ponds
sthene
sthenes
dyne
dyn
dynes
ounceforce
ozf
ounceforces
poundforce
lbf
poundforces
tonforce
tonf
tonforces
kipf
kipfs
kip
avoirdupois *
kips
poundal
poundals
planck_force
planck *
planck_forces
An asterisk ( * ) indicates the default context, an at sign (@) indicates an abbreviation, and under the prefixes column, SI indicates that the unit takes all SI prefixes, IEC indicates that the unit takes IEC prefixes, and SI+ and SI- indicate that the unit takes only positive and negative SI prefixes, respectively. Refer to a unit in the Units package by indexing the name or symbol with the context, for example, newton[SI] or lbf[standard]; or, if the context is indicated as the default, by using only the unit name or symbol, for example, newton or lbf.
The units of force are defined as follows.
A gramforce is defined as the force of gravity on a gram, that is, acceleration_of_free_fall*gram.
A pond is another term for the gramforce.
A dyne is defined as a gram centimeter per second squared.
A sthene is defined as a tonne meter per second squared.
An ounceforce is defined as the force of gravity on an avoirdupois ounce, that is, acceleration_of_free_fall*ounce.
A poundforce is defined as the force of gravity on an avoirdupois pound, that is, acceleration_of_free_fall*pound.
A tonforce is defined as the force of gravity on a short ton, that is, acceleration_of_free_fall*ton.
A kip or kipf is defined as $1000$ poundforces.
A poundal is defined as an avoirdupois pound international foot per second squared.
A planck force is defined as a planck length times planck mass per planck time cubed.
$\mathrm{convert}\left('N'\,'\mathrm{dimensions}'\,'\mathrm{base}'=\mathrm{true}\right)$
$\frac{{\mathrm{length}}{}{\mathrm{mass}}}{{{\mathrm{time}}}^{{2}}}$
$\mathrm{convert}\left(1\,'\mathrm{units}'\,'N'\,'\mathrm{kilogramforce}'\right)$
$\frac{{20000}}{{196133}}$
$\mathrm{convert}\left(1\,'\mathrm{units}'\,'\mathrm{dyne}'\,'\mathrm{ozf}'\right)$
$\frac{{320000000}}{{8896443230521}}$
$\mathrm{convert}\left(2400.\,'\mathrm{units}'\,'\mathrm{kipf}'\,'N'\right)$
${1.067573188}{\times}{{10}}^{{7}}$
See Also
convert/dimensions
convert/units
Units
Units/acceleration
Units/Index
Units/length
Units/mass
Units/time
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