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It is a constant defined by standard as 9.806 65 m/s 2 (about 32.174 05 ft/s 2). This value was established by the third General Conference on Weights and Measures (1901, CR 70) and used to define the standard weight of an object as the product of its mass and this nominal acceleration.
Its symbol is written in several forms as m/s 2, m·s −2 or ms −2, , or less commonly, as (m/s)/s. [1] As acceleration, the unit is interpreted physically as change in velocity or speed per time interval, i.e. metre per second per second and is treated as a vector quantity.
≈ 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 ...
The unit of measure of acceleration in the International System of Units (SI) is m/s 2. [4] However, to distinguish acceleration relative to free fall from simple acceleration (rate of change of velocity), the unit g is often used.
It has dimension of acceleration (L/T 2) and it is measured in units of newtons per kilogram (N/kg) or, equivalently, in meters per second squared (m/s 2). In its original concept, gravity was a force between point masses.
For two bodies, the parameter may be expressed as G(m 1 + m 2), or as GM when one body is much larger than the other: = (+). For several objects in the Solar System, the value of μ is known to greater accuracy than either G or M. The SI unit of the standard gravitational parameter is m 3 ⋅s −2.
The gal is a derived unit, defined in terms of the centimeter–gram–second (CGS) base unit of length, the centimeter, and the second, which is the base unit of time in both the CGS and the modern SI system. In SI base units, 1 Gal is equal to 0.01 m/s 2.
Other units include the cgs gal (sometimes known as a galileo, in either case with symbol Gal), which equals 1 centimetre per second squared, and the g (g n), equal to 9.80665 m/s 2. The value of the g n is defined as approximately equal to the acceleration due to gravity at the Earth's surface, although the actual acceleration varies slightly ...