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

Beta version#

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Symbolic algebra

ⓘ Hint: This calculator supports symbolic math. You can enter numbers, but also symbols like a, b, pi or even whole math expressions such as (a+b)/2. If you still don't sure how to make your life easier using symbolic algebra check out our another page: Symbolic calculations

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 as symbolic Value as numeric Notes Unit conversion formula yottanewton Show source$YN$ YN Show source$\text{...}$ - Derived force unit in SI system. One yottanewton is equal to septylion of newtons: $1\ YN= 10^{24}\ N$ Show source$...$ zettanewton Show source$ZN$ ZN Show source$\text{...}$ - Derived force unit in SI system. One zettanewton is equal to sextillion of newtons: $1\ ZN= 10^{21}\ N$ Show source$...$ exanewton Show source$EN$ EN Show source$\text{...}$ - Derived force unit in SI system. One exanewton is equal to quintillion of newtons: $1\ EN= 10^{18}\ N$ Show source$...$ petanewton Show source$PN$ PN Show source$\text{...}$ - Derived force unit in SI system. One petanewton is equal to quadrillion of newtons: $1\ PN= 10^{15}\ N$ Show source$...$ teranewton Show source$TN$ TN Show source$\text{...}$ - Derived force unit in SI system. One teranewton is equal to trillion of newtons: $1\ TN= 10^{12}\ N$ Show source$...$ giganewton Show source$GN$ GN Show source$\text{...}$ - Derived force unit in SI system. One giganewton is equal to billion of newtons: $1\ GN= 10^{9}\ N$ Show source$...$ meganewton Show source$MN$ MN Show source$\text{...}$ - Derived force unit in SI system. One meganewton is equal to million of newtons: $1\ MN=1000000\ N= 10^{6}\ N$ Show source$...$ kilonewton Show source$kN$ kN Show source$\text{...}$ - Derived force unit in SI system. One kilonewton is equal to thausand of newtons: $1\ kN=1000\ N= 10^{3}\ N$ Show source$...$ hektonewton Show source$hN$ hN Show source$\text{...}$ - Derived force unit in SI system. One hektonewton is equal to hundred of newtons: $1\ hN=100\ N= 10^{2}\ N$ Show source$...$ newton Show source$N$ N Show source$\text{...}$ - 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.$1\ N = 1\ kg \cdot \ 1\ \frac{m}{s^2} = 1\ \frac{kg \cdot m}{s^2}$ Show source$...$ decinewton Show source$dN$ dN Show source$\text{...}$ - Derived force unit in SI system. One decinewton is equal to one tenth of newton: $1\ dN=0.1\ N= 10^{-1}\ N$ Show source$...$ centinewton Show source$cN$ cN Show source$\text{...}$ - Derived force unit in SI system. One centinewton is equal to one hundredth of newton: $1\ cN=0.01\ N= 10^{-2}\ N$ Show source$...$ milinewton Show source$mN$ mN Show source$\text{...}$ - Derived force unit in SI system. One milinewton is equal to one thousandth of newton: $1\ mN=0.001\ N= 10^{-3}\ N$ Show source$...$ micronewton Show source$\mu N$ µN Show source$\text{...}$ - Derived force unit in SI system. One micronewton is equal to one millionth of newton: $1\ \mu N=0.000001\ N= 10^{-6}\ N$ Show source$...$ nanonewton Show source$nN$ nN Show source$\text{...}$ - Derived force unit in SI system. One nanonewton is equal to one billionth of newton: $1\ nN= 10^{-9}\ N$ Show source$...$ pikonewton Show source$pN$ pN Show source$\text{...}$ - Derived force unit in SI system. One pikonewton is equal to one trillionth of newton: $1\ pN= 10^{-12}\ N$ Show source$...$ femtonewton Show source$fN$ fN Show source$\text{...}$ - Derived force unit in SI system. One femtonewton is equal to one quadrillionth of newton: $1\ fN= 10^{-15}\ N$ Show source$...$ attonewton Show source$aN$ aN Show source$\text{...}$ - Derived force unit in SI system. One attonewton is equal to one quintillionth of newton: $1\ aN= 10^{-18}\ N$ Show source$...$ zeptonewton Show source$zN$ zN Show source$\text{...}$ - Derived force unit in SI system. One zeptonewton is equal to one sextillionth of newton: $1\ zN= 10^{-21}\ N$ Show source$...$ yoctonewton Show source$yN$ yN Show source$\text{...}$ - Derived force unit in SI system. One yoctonewton is equal to one septillionth of newton: $1\ yN= 10^{-24}\ N$ Show source$...$

Gravitational (metric)#

 Unit Symbol Symbol(plain text) Value as symbolic Value as numeric Notes Unit conversion formula ton-force Show source$tf$ tf Show source$\text{...}$ - One thousand kilogram-force (1000 kgf). See the kilogram-force unit for more.$1\ tf = 1000\ kgf \approx 9.80665\ kN$ Show source$...$ kilogram-force Show source$kgf$ kgf Show source$\text{...}$ - 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} Show source$...$ kilopond Show source$kp$ kp Show source$\text{...}$ - Another name for kilogram-force (1 kgf). See the kilogram-force unit for more. Show source$...$ gram-force Show source$gf$ gf Show source$\text{...}$ - One thousandth of kilogram-force (1/1000 kgf). See the kilogram-force unit for more.$1\ gf = \frac{1}{1000}\ kgf \approx 9.80665\ mN$ Show source$...$ pond Show source$p$ p Show source$\text{...}$ - Another name for gram-force (1 gf). See the gram-force unit for more. Show source$...$

Gravitational (UK/US)#

 Unit Symbol Symbol(plain text) Value as symbolic Value as numeric Notes Unit conversion formula ton-force (UK) Show source$\text{ton-force}_{UK}$ tf Show source$\text{...}$ - 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} Show source$...$ ton-force (US) Show source$\text{ton-force}_{US}$ tf Show source$\text{...}$ - 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} Show source$...$ kip Show source$kip$ kip Show source$\text{...}$ - Another name for kilopound-force (1 klbf). See the kilopound-force unit for more. Show source$...$ kilopound-force Show source$klbf$ klbf Show source$\text{...}$ - 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} Show source$...$ pound-force Show source$lbf$ lbf Show source$\text{...}$ - 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} Show source$...$ ounce-force Show source$ozf$ ozf Show source$\text{...}$ - 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} Show source$...$

Other#

 Unit Symbol Symbol(plain text) Value as symbolic Value as numeric Notes Unit conversion formula poundal Show source$pdl$ pdl Show source$\text{...}$ - 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.$1\ pdl = 1\ lb \cdot \ 1\ \frac{ft}{s^2} = 0.45359237\ kg \cdot \frac{0.3048 \cdot m}{s^2} = 0.138254954376\ N$ Show source$...$ dyne Show source$dyn$ dyn Show source$\text{...}$ - 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.$1\ dyn = 1\ g \cdot \ 1\ \frac{cm}{s^2} = 0.001\ kg \cdot \frac{0.01 \cdot m}{s^2} = 10^{-5}\ N = 10\ \mu N$ Show source$...$

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.

Tags and links to this website#

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