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A newton is defined as 1 kg⋅m/s 2 (it is a named derived unit defined in terms of the SI base units). [1]: 137 One newton is, therefore, the force needed to accelerate one kilogram of mass at the rate of one metre per second squared in the direction of the applied force.
Newton's second law states that force equals mass multiplied by acceleration. The unit of force is the newton (N), and mass has the SI unit kilogram (kg). One newton equals one kilogram metre per second squared. Therefore, the unit metre per second squared is equivalent to newton per kilogram, N·kg −1, or N/kg. [2]
Unit type Unit code Unit name Area: a: are: m2: square metre Charge: coulomb: coulomb Energy: J: joule Force: N: newton Length: m: metre Magnetic field strength: T ...
newton-metre: N⋅m moment of force: m 2 ⋅kg⋅s −2: newton per metre N/m surface tension: kg⋅s −2: radian per second: rad/s angular velocity, angular frequency: s −1: radian per second squared: rad/s 2: angular acceleration: s −2: watt per square metre: W/m 2: heat flux density, irradiance: kg⋅s −3: joule per kelvin: J/K ...
Sometimes the names of units obscure the fact that they are derived units. For example, a newton (N) is a unit of force, which may be expressed as the product of mass (with unit kg) and acceleration (with unit m⋅s −2). The newton is defined as 1 N = 1 kg⋅m⋅s −2.
The factor–label method can convert only unit quantities for which the units are in a linear relationship intersecting at 0 (ratio scale in Stevens's typology). Most conversions fit this paradigm. An example for which it cannot be used is the conversion between the Celsius scale and the Kelvin scale (or the Fahrenheit scale). Between degrees ...
In unit systems where force is a derived unit, like in SI units, g c is equal to 1. In unit systems where force is a primary unit, like in imperial and US customary measurement systems , g c may or may not equal 1 depending on the units used, and value other than 1 may be required to obtain correct results. [ 2 ]
≈ 5.1 4 × 10 −1 m/s 2: metre per second squared (SI unit) m/s 2: ≡ 1 m/s 2 = 1 m/s 2: mile per hour per second: mph/s ≡ 1 mi/(h⋅s) = 4.4704 × 10 −1 m/s 2: mile per minute per second: mpm/s ≡ 1 mi/(min⋅s) = 26.8224 m/s 2: mile per second squared: mps 2: ≡ 1 mi/s 2 = 1.609 344 × 10 3 m/s 2: standard gravity: g 0: ≡ 9.806 65 ...