Force Conversion

Understanding Units of Force

Force is a physical quantity that describes the interaction between bodies which causes a change in motion or shape.

The SI Unit: Newton (N)

The standard International System (SI) unit for force is the Newton (N).

• Definition: One Newton is the amount of force required to accelerate a mass of one kilogram at a rate of one meter per second squared ($1 m/s^2$).

Key Formulas

1. Newton's Second Law:

$F = m \times a$

• $F$: Force (Newtons, N)
• $m$: Mass (Kilograms, kg)
• $a$: Acceleration (meters per second squared, $m/s^2$)

2. Force of Weight (Gravity):

$F_G = m \times g$

• $F_G$: Weight or Gravitational Force (N)
• $g$: Acceleration due to gravity (Standard gravity is approx. $9.80665 \ m/s^2$)

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Common Force Conversions

Below are the conversion factors for some of the most frequently used units.

From Unit	To Unit	Conversion Factor
Dyne (dyn)	Kilonewton (kN)	$1 \text{ dyn} = 1.0 \times 10^{-8} \text{ kN}$
Kilonewton (kN)	Dyne (dyn)	$1 \text{ kN} = 100,000,000 \text{ dyn}$

Note: A "Pond" (also known as gram-force) is a non-SI unit equal to the force exerted by one gram of mass in standard gravity.

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List of Unit Abbreviations

A comprehensive list of force units and their standard symbols.

Unit Name	Symbol	Unit Name	Symbol
Attonewton	aN	Kilonewton	kN
Centinewton	cN	Meganewton	MN
Decinewton	dN	Micronewton	$\mu$N
Dekanewton	daN	Millinewton	mN
Dyne	dyn	Nanonewton	nN
Exanewton	EN	Newton	N
Femtonewton	fN	Ounce-force	ozf
Giganewton	GN	Petanewton	PN
Gram-force	gf	Piconewton	pN
Hectonewton	hN	Pound-force	lbf