|Unit system||SI derived unit|
|Named after||Sir Isaac Newton|
|In SI base units:||1 N = 1 kg⋅m/s2|
The newton (symbol: N) is the International System of Units (SI) derived unit of force. It is named after Isaac Newton in recognition of his work on classical mechanics, specifically Newton's second law of motion.
See below for the conversion factors and SI unitizing.
In 1946 Conférence Générale des Poids et Mesures (CGPM) resolution 2 standardized the unit of force in the MKS system of units to be the amount needed to accelerate 1 kilogram of mass at the rate of 1 metre per second squared. In 1948 the 9th CGPM resolution 7 adopted the name "newton" for this force in order to honor the English physicist and mathematician Isaac Newton.
The MKS system became the blueprint for today's SI system of units. This SI unit is named after Isaac Newton. As with every International System of Units (SI) unit named for a person, the first letter of its symbol is upper case (N). However, when an SI unit is spelled out in English, it should always begin with a lower case letter (newton)—except in a situation where any word in that position would be capitalized, such as at the beginning of a sentence or in material using title case. Note that "degree Celsius" conforms to this rule because the "d" is lowercase.— Based on The International System of Units, section 5.2. The newton thus became the standard unit of force in le Système International d'Unités (SI), or International System of Units.
- 1 N = 1 kg⋅m/s2
where the following symbols are used for the units:
- F: force
- M: mass
- L: length
- T: time.
The gravity of Earth would impart a downward acceleration, g, of m/s2 to objects on its surface, were those objects not held in place by an upward force, measurable in newtons, felt as the weight of an object. 9.8
- One newton is about 100 grams (3.5 oz) of mass, or about half a medium sized apple.
- 1 N = 0.102 kg × 9.81 m/s2 (kg ≅ 100 g) 0.102
- The average adult will feel 664 N of force, his own weight, pushing up on his feet.
- 664 N = 67.7 kilograms (149 lb) × 9.8 m/s2
- 1 kilogram (2.2 lb) is about ten newtons of force, because 98.1 ≅ 100.
- 1 N = 1 kg × g
- 1 daN = 1 kg × 10 g = 98.1 m/s2
- The SI abbreviation daN stands for ten newtons, or a decanewton. The 1 kilogram-force (9.8 N; 2.2 lbf) in this example is a good enough approximation that "a daN per kilogram" is a rule of thumb with only about a 2% over-estimate.
- Bench pressing 100 pounds (45 kg) takes a little under 450 N of force.
- 441 N = 45 kg × 9.81 m/s2
In another example, we start with the fact that the calculation of an amount of work done is the force applied times the distance moved. So we can have 1 N⋅m of work. Now the Work-Energy Theorem states that the work done on a body is equal to the change in energy of the body, measured in joules, and we say 1 N⋅m = 1 J.
- Bench pressing 100 pounds (45 kg) imparts about 450 N × 2⁄3 m = 333 J (burning about 1 1⁄3 calories).
In gravity or weight equations, as above, note how kilograms are about 100 times kilonewtons.
Commonly seen as kilonewtons
A newton is not much force, so it is common to see forces expressed in kilonewtons or kN, where 1 kN = 1000 N. For example, the tractive effort of a Class Y steam train and the thrust of a an F100 fighter jet are both around 130 kN.
Where units are commonly in kilonewtons, a common rule of thumb is to multiply the kilonewton value by a factor of 100 to get the kilograms. One kilonewton, 1 kN, is 102.0 kgf, or about 100 kg of load.
- 1 kN = 102 kg × 9.81 m/s2 (kg ≅ 100 kg) 102
So for example, a platform rated at 321 kilonewtons (72,000 lbf) will safely support a 32,100 kilograms (70,800 lb) load.
Specifications in kilonewtons are common for
- safety holding values of fasteners, Earth anchors, and more in the building industry
- rock climbing equipment
- safe working loads in both tension and shear measurements
- classifying injection moulding machines
The amount of clamping force they apply to the mould used to manufacture plastic parts is given in kilonewtons.
|1 N||≡ 1 kg⋅m/s2||= 105 dyn||≈ 0.10197 kp||≈ 0.22481 lbF||≈ 7.2330 pdl|
|1 dyn||= 10−5 N||≡ 1 g⋅cm/s2||≈ 1.0197 × 10−6 kp||≈ 2.2481 × 10−6 lbF||≈ 7.2330 × 10−5 pdl|
|1 kp||= 9.80665 N||= 980665 dyn||≡ gn⋅(1 kg)||≈ 2.2046 lbF||≈ 70.932 pdl|
|1 lbF||≈ 4.448222 N||≈ 444822 dyn||≈ 0.45359 kp||≡ gn⋅(1 lb)||≈ 32.174 pdl|
|1 pdl||≈ 0.138255 N||≈ 13825 dyn||≈ 0.014098 kp||≈ 0.031081 lbF||≡ 1 lb⋅ft/s2|
|The value of gn as used in the official definition of the kilogram-force is used here for all gravitational units.|
|Base||force, length, time||weight, length, time||mass, length, time|
|Force (F)||F = m⋅a = w⋅a/||F = m⋅a/ = w⋅a/||F = m⋅a = w⋅a/|
|Weight (w)||w = m⋅g||w = m⋅g/ ≈ m||w = m⋅g|
- Force gauge
- International System of Units (SI)
- Joule, SI unit of energy, 1 newton exerted over a distance of 1 metre
- Kilogram-force, force exerted by Earth's gravity at sea level on one kilogram of mass
- Kip (unit)
- Pascal, SI unit of pressure, 1 newton acting on an area of 1 square metre
- Orders of magnitude (force)
- Pound (force)
- Newton metre, SI unit of torque
Notes and references
- International Bureau of Weights and Measures (1977), The international system of units (330–331) (3rd ed.), U.S. Dept. of Commerce, National Bureau of Standards, p. 17, ISBN 0745649742.
- "Table 3. Coherent derived units in the SI with special names and symbols". The International System of Units (SI). International Bureau of Weights and Measures. 2006.
- Whitbread BSc (Hons) MSc DipION, Daisy. "What weighs 100g?". Retrieved 28 August 2015.
- Michael R. Lindeburg (2011). Civil Engineering Reference Manual for the Pe Exam. Professional Publications. ISBN 1591263417.
- Wurbs, Ralph A, Fort Hood Review Sessions for Professional Engineering Exam (PDF), retrieved October 26, 2011