Force units converter
Converts force from one unit to another e.g. from newtons (N) to dynes (dyn) or vice versa.

# Beta version#

BETA TEST VERSION OF THIS ITEM
This online calculator is currently under heavy development. It may or it may NOT work correctly.
You CAN try to use it. You CAN even get the proper results.
However, please VERIFY all results on your own, as the level of completion of this item is NOT CONFIRMED.
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# Inputs data - value and unit, which we're going to convert#

 Value Unit yottanewton [YN]zettanewton [ZN]exanewton [EN]petanewton [PN]teranewton [TN]giganewton [GN]meganewton [MN]kilonewton [kN]hektonewton [hN]newton [N]decinewton [dN]centinewton [cN]milinewton [mN]micronewton [µN]nanonewton [nN]pikonewton [pN]femtonewton [fN]attonewton [aN]zeptonewton [zN]yoctonewton [yN]ton-force [tf]kilogram-force [kgf]kilopond [kp]gram-force [gf]pond [p]ton-force (UK) [tf]ton-force (US) [tf]kip [kip]kilopound-force [klbf]pound-force [lbf]ounce-force [ozf]poundal [pdl]dyne [dyn] Decimals 0123456789

# SI#

 Unit Symbol Symbol(plain text) Value Notes yottanewton Show source$YN$ YN 1×10-24 Derived force unit in SI system. One yottanewton is equal to septylion of newtons: $1\ YN= 10^{24}\ N$ zettanewton Show source$ZN$ ZN 1×10-21 Derived force unit in SI system. One zettanewton is equal to sextillion of newtons: $1\ ZN= 10^{21}\ N$ exanewton Show source$EN$ EN 1×10-18 Derived force unit in SI system. One exanewton is equal to quintillion of newtons: $1\ EN= 10^{18}\ N$ petanewton Show source$PN$ PN 1×10-15 Derived force unit in SI system. One petanewton is equal to quadrillion of newtons: $1\ PN= 10^{15}\ N$ teranewton Show source$TN$ TN 1×10-12 Derived force unit in SI system. One teranewton is equal to trillion of newtons: $1\ TN= 10^{12}\ N$ giganewton Show source$GN$ GN 1×10-9 Derived force unit in SI system. One giganewton is equal to billion of newtons: $1\ GN= 10^{9}\ N$ meganewton Show source$MN$ MN 0.000001 Derived force unit in SI system. One meganewton is equal to million of newtons: $1\ MN=1000000\ N= 10^{6}\ N$ kilonewton Show source$kN$ kN 0.001 Derived force unit in SI system. One kilonewton is equal to thausand of newtons: $1\ kN=1000\ N= 10^{3}\ N$ hektonewton Show source$hN$ hN 0.01 Derived force unit in SI system. One hektonewton is equal to hundred of newtons: $1\ hN=100\ N= 10^{2}\ N$ newton Show source$N$ N 1 The basic force unit in the SI system. One newton (1 N) is the force needed to accelerate one kilogram of mass (1 kg) at the rate of one metre per second squared (1 m/s²) in the direction of the applied force.$1\ N = 1\ kg \cdot \ 1\ \frac{m}{s^2} = 1\ \frac{kg \cdot m}{s^2}$ decinewton Show source$dN$ dN 10 Derived force unit in SI system. One decinewton is equal to one tenth of newton: $1\ dN=0.1\ N= 10^{-1}\ N$ centinewton Show source$cN$ cN 100 Derived force unit in SI system. One centinewton is equal to one hundredth of newton: $1\ cN=0.01\ N= 10^{-2}\ N$ milinewton Show source$mN$ mN 1000 Derived force unit in SI system. One milinewton is equal to one thousandth of newton: $1\ mN=0.001\ N= 10^{-3}\ N$ micronewton Show source$\mu N$ µN 1000000 Derived force unit in SI system. One micronewton is equal to one millionth of newton: $1\ \mu N=0.000001\ N= 10^{-6}\ N$ nanonewton Show source$nN$ nN 1000000000 Derived force unit in SI system. One nanonewton is equal to one billionth of newton: $1\ nN= 10^{-9}\ N$ pikonewton Show source$pN$ pN 1×1012 Derived force unit in SI system. One pikonewton is equal to one trillionth of newton: $1\ pN= 10^{-12}\ N$ femtonewton Show source$fN$ fN 1×1015 Derived force unit in SI system. One femtonewton is equal to one quadrillionth of newton: $1\ fN= 10^{-15}\ N$ attonewton Show source$aN$ aN 1×1018 Derived force unit in SI system. One attonewton is equal to one quintillionth of newton: $1\ aN= 10^{-18}\ N$ zeptonewton Show source$zN$ zN 1×1021 Derived force unit in SI system. One zeptonewton is equal to one sextillionth of newton: $1\ zN= 10^{-21}\ N$ yoctonewton Show source$yN$ yN 1×1024 Derived force unit in SI system. One yoctonewton is equal to one septillionth of newton: $1\ yN= 10^{-24}\ N$

# Gravitational (metric)#

 Unit Symbol Symbol(plain text) Value Notes ton-force Show source$tf$ tf 0.000101972 One thousand kilogram-force (1000 kgf). See the kilogram-force unit for more.$1\ tf = 1000\ kgf \approx 9.80665\ kN$ kilogram-force Show source$kgf$ kgf 0.101971621 A force unit sometimes used in engineering calculations. Equivalent to the gravity force, which acts to the one kilogram mass (1 kg) .\begin{aligned}1\ kgf &= 1\ kg \cdot \text{przyspieszenie ziemskie} \approx \\ &\approx 1\ kg \cdot 9.80665\ \frac{m}{s^2} =\\&= 9.80665\ N\end{aligned} kilopond Show source$kp$ kp 0.101971621 Another name for kilogram-force (1 kgf). See the kilogram-force unit for more. gram-force Show source$gf$ gf 101.971621298 One thousandth of kilogram-force (1/1000 kgf). See the kilogram-force unit for more.$1\ gf = \frac{1}{1000}\ kgf \approx 9.80665\ mN$ pond Show source$p$ p 101.971621298 Another name for gram-force (1 gf). See the gram-force unit for more.

# Gravitational (UK/US)#

 Unit Symbol Symbol(plain text) Value Notes ton-force (UK) Show source$\text{ton-force}_{UK}$ tf 0.000100361 Imperial force unit sometimes used in the engineering calculations. Equivalent to the gravity force, which acts to the one long ton (1 lng ton) or two thousand two hundred forty pounds (2240 lbs).\begin{aligned}1\ tf\ \text{(UK)} &= 1\ sh\ th \cdot \text{przyspieszenie ziemskie} \approx \\ &\approx 2240\ lbs \cdot 9.80665\ \frac{m}{s^2} =\\&= 1016.0469088\ kg \cdot 9.80665\ \frac{m}{s^2} =\\&= 9.96401641818352\ kN\end{aligned} ton-force (US) Show source$\text{ton-force}_{US}$ tf 0.000112404 Force unit sometimes used in the engineering calculations in the United States. Equivalent to the gravity force, which acts to the one short ton (1 sh ton) or two thousand pounds (2000 lbs).\begin{aligned}1\ tf\ \text{(US)} &= 1\ sh\ th \cdot \text{przyspieszenie ziemskie} \approx \\ &\approx 2000\ lbs \cdot 9.80665\ \frac{m}{s^2} =\\&= 907.18474\ kg \cdot 9.80665\ \frac{m}{s^2} =\\&= 8.896443230521\ kN\end{aligned} kip Show source$kip$ kip 0.000224809 Another name for kilopound-force (1 klbf). See the kilopound-force unit for more. kilopound-force Show source$klbf$ klbf 0.000224809 Equivalent to the gravity force, which acts to the one thousand pounds of mass (1000 lbs).\begin{aligned}1\ klbf &= 1000\ lbs \cdot \text{przyspieszenie ziemskie} \approx \\ &\approx 453.59237\ kg \cdot 9.80665\ \frac{m}{s^2} =\\&= 4.4482216152605\ kN\end{aligned} pound-force Show source$lbf$ lbf 0.224808943 Equivalent to the gravity force, which acts to the one pound of mass (1 lb).\begin{aligned}1\ lbf &= 1\ lb \cdot \text{przyspieszenie ziemskie} \approx \\ &\approx 0.45359237\ kg \cdot 9.80665\ \frac{m}{s^2} =\\&= 4.4482216152605\ N\end{aligned} ounce-force Show source$ozf$ ozf 3.596943105 Equivalent to the gravity force, which acts to the one ounce of mass (1 oz).\begin{aligned}1\ ozf &= 1\ oz \cdot \text{przyspieszenie ziemskie} \approx \\ &\approx 0.028349523\ kg \cdot 9.80665\ \frac{m}{s^2} =\\&= 0.27801384972795\ N\end{aligned}

# Other#

 Unit Symbol Symbol(plain text) Value Notes poundal Show source$pdl$ pdl 7.23301385 Historic force unit in the foot-pound-second system, which was imperial version of the centimeter-gram-second system (CGS). One poundal (1 pdl) is the force needed to accelerate one pound of mass (1 lb) at the rate of one foot per second squared (1 ft/s²) in the direction of the applied force.$1\ pdl = 1\ lb \cdot \ 1\ \frac{ft}{s^2} = 0.45359237\ kg \cdot \frac{0.3048 \cdot m}{s^2} = 0.138254954376\ N$ dyne Show source$dyn$ dyn 100000 Historical force unit in the centimeter-gram-second system (CGS). One newton (1 N) is the force needed to accelerate one gram (1 g) of mass at the rate of one centimeter per second squared (1 cm/s²) in the direction of the applied force.$1\ dyn = 1\ g \cdot \ 1\ \frac{cm}{s^2} = 0.001\ kg \cdot \frac{0.01 \cdot m}{s^2} = 10^{-5}\ N = 10\ \mu N$

# Some facts#

• The force is a physical quantity, which is a measure of interaction between bodies.
• The force is a vector quantity i.e. it has both magnitude and direction.
• The basic unit of force in the SI system is one newton (1 N). The force is 1 N if it gives the body of 1 kg an acceleration of 1 m/s².
• Force can be defined as a derivative of momentum by time, which is an expression of the fact that in order to give the body momentum (or change it if already exists), one must act on it with force:
$\vec{F} = \dfrac{d\vec{p}}{dt}$
where:
• $\vec{F}$ - a force acting on the body,
• $\vec{p}$ - body momentum,
• t - time.
• Force also occurs in so-called II Newton's principle of dynamics, which show relation between mass, acceleration and force. However, it can be shown that this is equivalent to the definition of force as a derivative of momentum.
$\vec{F} = \dfrac{d\vec{p}}{dt} = m \dfrac{d\vec{v}}{dt} = m \vec {a}$
where:
• $\vec{F}$ - a force acting on the body,
• $\vec{v}$ - the veclocity of the body,
• m - the mass of the body,
• $\vec{a}$ - the acceleration of the body.
• Force itself does not tell about the nature of the interaction (i.e. what caused it) but only shows the scale and direction of this interaction. For this reason, we can come across phrases such as:
• electrostatic force - acting between two electric charges,
• gravitational force - acting between two bodies having mass,
• electromotive force (EMF) - causing current to flow through a conductor,
• etc.

# How to convert#

• Enter the number to field "value" - enter the NUMBER only, no other words, symbols or unit names. You can use dot (.) or comma (,) to enter fractions.
Examples:
• 1000000
• 123,23
• 999.99999
• Find and select your starting unit in field "unit". Some unit calculators have huge number of different units to select from - it's just how complicated our world is...
• And... you got the result in the table below. You'll find several results for many different units - we show you all results we know at once. Just find the one you're looking for.

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