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ISO 31-1

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ISO 31-1[1] is the part of international standard ISO 31 that defines names and symbols for quantities and units related to space and time. It was superseded in 2006 by ISO 80000-3 and again in 2019 by ISO 80000-3:2019.

Its definitions include:

Quantity Unit Remarks
NameSymbolNameSymbolDefinition
angle,
(plane angle)
α, β, γ, θ, φ radianrad1 rad = 1 m⁄m = 1
degree°1° = π⁄180 rad There is no space between the number and these superscript-style unit symbols. Decimal subdivision of degrees is preferable (i.e., 12.5° instead of 12°30′)
minute′1′ = (1⁄60)°
second″1″ = (1⁄60)′
solid angleΩsteradiansr1 sr = 1 m2⁄m2 = 1
lengthl, L metre m The metre is the length of the path travelled by light in vacuum during a time interval of 1⁄299 792 458 of a second; see speed of light
breadthb
heighth
thicknessd, δ
radiusr, R
diameterd, D
length of path, (linear) displacement vectors, s
distanced, r
cartesian coordinatesx, y, z
radius of curvatureϱ
curvatureϰreciprocal metrem−1
areaAsquare metrem2The units are (1 a = 100 m2) and hectare (1 ha = 100 a) are used for agrarian areas.
volume V cubic metrem3
litreL, l1 L = 1 dm3The capital L is preferred as the small l can be indistinguishable from the number 1 in some fonts.
time, time interval, duration t secondsThe second is the duration of 9 192 631 770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom Representations of time of day are defined in ISO 8601.
minutemin1 min = 60 s
hourh1 h = 60 min = 3 600 s
dayd1 d = 24 h = 1 440 min = 86 400 s
angular velocityωradian per secondrad⁄sω=dφ⁄dt
angular accelerationαradian per second squaredrad⁄s2α=dω⁄dt
velocity v (general symbol),
v (velocity vector),
c (propagation speed of waves),
u, v, w (components of a velocity c)
metre per second m⁄s
kilometre per hour km⁄h
acceleration, acceleration vectora, a metre per second squared m⁄s2 1 g = 9.80665 m⁄s2
acceleration of free fall, acceleration due to gravityg

Annex A

Annex B

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