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

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Inputs data - value and unit, which we're going to convert#

Value
Unit
Decimals

#

SI#

UnitSymbolSymbol
(plain text)
ValueNotes
yottanewtonShow sourceYNYNYN1×10-24Derived force unit in SI system. One yottanewton is equal to septylion of newtons: 1 YN=1024 N1\ YN= 10^{24}\ N
zettanewtonShow sourceZNZNZN1×10-21Derived force unit in SI system. One zettanewton is equal to sextillion of newtons: 1 ZN=1021 N1\ ZN= 10^{21}\ N
exanewtonShow sourceENENEN1×10-18Derived force unit in SI system. One exanewton is equal to quintillion of newtons: 1 EN=1018 N1\ EN= 10^{18}\ N
petanewtonShow sourcePNPNPN1×10-15Derived force unit in SI system. One petanewton is equal to quadrillion of newtons: 1 PN=1015 N1\ PN= 10^{15}\ N
teranewtonShow sourceTNTNTN1×10-12Derived force unit in SI system. One teranewton is equal to trillion of newtons: 1 TN=1012 N1\ TN= 10^{12}\ N
giganewtonShow sourceGNGNGN1×10-9Derived force unit in SI system. One giganewton is equal to billion of newtons: 1 GN=109 N1\ GN= 10^{9}\ N
meganewtonShow sourceMNMNMN0.000001Derived force unit in SI system. One meganewton is equal to million of newtons: 1 MN=1000000 N=106 N1\ MN=1000000\ N= 10^{6}\ N
kilonewtonShow sourcekNkNkN0.001Derived force unit in SI system. One kilonewton is equal to thausand of newtons: 1 kN=1000 N=103 N1\ kN=1000\ N= 10^{3}\ N
hektonewtonShow sourcehNhNhN0.01Derived force unit in SI system. One hektonewton is equal to hundred of newtons: 1 hN=100 N=102 N1\ hN=100\ N= 10^{2}\ N
newtonShow sourceNNN1The 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 1 ms2=1 kgms21\ N = 1\ kg \cdot \ 1\ \frac{m}{s^2} = 1\ \frac{kg \cdot m}{s^2}
decinewtonShow sourcedNdNdN10Derived force unit in SI system. One decinewton is equal to one tenth of newton: 1 dN=0.1 N=101 N1\ dN=0.1\ N= 10^{-1}\ N
centinewtonShow sourcecNcNcN100Derived force unit in SI system. One centinewton is equal to one hundredth of newton: 1 cN=0.01 N=102 N1\ cN=0.01\ N= 10^{-2}\ N
milinewtonShow sourcemNmNmN1000Derived force unit in SI system. One milinewton is equal to one thousandth of newton: 1 mN=0.001 N=103 N1\ mN=0.001\ N= 10^{-3}\ N
micronewtonShow sourceμN\mu NµN1000000Derived force unit in SI system. One micronewton is equal to one millionth of newton: 1 μN=0.000001 N=106 N1\ \mu N=0.000001\ N= 10^{-6}\ N
nanonewtonShow sourcenNnNnN1000000000Derived force unit in SI system. One nanonewton is equal to one billionth of newton: 1 nN=109 N1\ nN= 10^{-9}\ N
pikonewtonShow sourcepNpNpN1×1012Derived force unit in SI system. One pikonewton is equal to one trillionth of newton: 1 pN=1012 N1\ pN= 10^{-12}\ N
femtonewtonShow sourcefNfNfN1×1015Derived force unit in SI system. One femtonewton is equal to one quadrillionth of newton: 1 fN=1015 N1\ fN= 10^{-15}\ N
attonewtonShow sourceaNaNaN1×1018Derived force unit in SI system. One attonewton is equal to one quintillionth of newton: 1 aN=1018 N1\ aN= 10^{-18}\ N
zeptonewtonShow sourcezNzNzN1×1021Derived force unit in SI system. One zeptonewton is equal to one sextillionth of newton: 1 zN=1021 N1\ zN= 10^{-21}\ N
yoctonewtonShow sourceyNyNyN1×1024Derived force unit in SI system. One yoctonewton is equal to one septillionth of newton: 1 yN=1024 N1\ yN= 10^{-24}\ N

Gravitational (metric)#

UnitSymbolSymbol
(plain text)
ValueNotes
ton-forceShow sourcetftftf0.000101972One thousand kilogram-force (1000 kgf). See the kilogram-force unit for more.1 tf=1000 kgf9.80665 kN1\ tf = 1000\ kgf \approx 9.80665\ kN
kilogram-forceShow sourcekgfkgfkgf0.101971621A force unit sometimes used in engineering calculations. Equivalent to the gravity force, which acts to the one kilogram mass (1 kg) .1 kgf=1 kgprzyspieszenie ziemskie1 kg9.80665 ms2==9.80665 N\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}
kilopondShow sourcekpkpkp0.101971621Another name for kilogram-force (1 kgf). See the kilogram-force unit for more.
gram-forceShow sourcegfgfgf101.971621298One thousandth of kilogram-force (1/1000 kgf). See the kilogram-force unit for more.1 gf=11000 kgf9.80665 mN1\ gf = \frac{1}{1000}\ kgf \approx 9.80665\ mN
pondShow sourceppp101.971621298Another name for gram-force (1 gf). See the gram-force unit for more.

Gravitational (UK/US)#

UnitSymbolSymbol
(plain text)
ValueNotes
ton-force (UK)Show sourceton-forceUK\text{ton-force}_{UK}tf0.000100361Imperial 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).1 tf (UK)=1 sh thprzyspieszenie ziemskie2240 lbs9.80665 ms2==1016.0469088 kg9.80665 ms2==9.96401641818352 kN\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 sourceton-forceUS\text{ton-force}_{US}tf0.000112404Force 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).1 tf (US)=1 sh thprzyspieszenie ziemskie2000 lbs9.80665 ms2==907.18474 kg9.80665 ms2==8.896443230521 kN\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}
kipShow sourcekipkipkip0.000224809Another name for kilopound-force (1 klbf). See the kilopound-force unit for more.
kilopound-forceShow sourceklbfklbfklbf0.000224809Equivalent to the gravity force, which acts to the one thousand pounds of mass (1000 lbs).1 klbf=1000 lbsprzyspieszenie ziemskie453.59237 kg9.80665 ms2==4.4482216152605 kN\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-forceShow sourcelbflbflbf0.224808943Equivalent to the gravity force, which acts to the one pound of mass (1 lb).1 lbf=1 lbprzyspieszenie ziemskie0.45359237 kg9.80665 ms2==4.4482216152605 N\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-forceShow sourceozfozfozf3.596943105Equivalent to the gravity force, which acts to the one ounce of mass (1 oz).1 ozf=1 ozprzyspieszenie ziemskie0.028349523 kg9.80665 ms2==0.27801384972795 N\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#

UnitSymbolSymbol
(plain text)
ValueNotes
poundalShow sourcepdlpdlpdl7.23301385Historic 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 1 fts2=0.45359237 kg0.3048ms2=0.138254954376 N1\ pdl = 1\ lb \cdot \ 1\ \frac{ft}{s^2} = 0.45359237\ kg \cdot \frac{0.3048 \cdot m}{s^2} = 0.138254954376\ N
dyneShow sourcedyndyndyn100000Historical 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 1 cms2=0.001 kg0.01ms2=105 N=10 μN1\ 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:
    F=dpdt\vec{F} = \dfrac{d\vec{p}}{dt}
    where:
    • F\vec{F} - a force acting on the body,
    • p\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.
    F=dpdt=mdvdt=ma\vec{F} = \dfrac{d\vec{p}}{dt} = m \dfrac{d\vec{v}}{dt} = m \vec {a}
    where:
    • F\vec{F} - a force acting on the body,
    • v\vec{v} - the veclocity of the body,
    • m - the mass of the body,
    • a\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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