ISO 31-1 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 It was superseded in 2006 by ISO 80000-3 and again in 2019 by ISO 80000-3:2019.

Definitions

Its definitions include:

{| class="wikitable"

! colspan="2" | Quantity

! colspan="3" | Unit

! rowspan="2" width="25%"| Remarks

|-

!Name||Symbol|||Name||Symbol||Definition

|-

| rowspan="4" |angle,<br>(plane angle)

| rowspan="4" |α, β, γ, θ, φ

|radian||rad||1&nbsp;rad = 1&nbsp; = 1||

|-

|degree||°||1° = &nbsp;rad

| rowspan="3" | 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′ = ()°

|-

|second||″||1″ = ()′

|-

|solid angle||Ω||steradian||sr||1&nbsp;sr = 1&nbsp; = 1||

|-

|length||l, L

| rowspan="10" |metre

| rowspan="10" |m

| rowspan="10" |The metre is the length of the path travelled by light in vacuum during a time interval of of a second; see speed of light

| rowspan="10" |

|-

|breadth||b

|-

|height||h

|-

|thickness||d, δ

|-

|radius||r, R

|-

|diameter||d, D

|-

|length of path, (linear) displacement vector||s, s

|-

|distance||d, r

|-

|cartesian coordinates||x, y, z

|-

|radius of curvature||

|-

|curvature||||reciprocal metre||m<sup>−1</sup>|| ||

|-

|area||A||square metre||m<sup>2</sup>|| || The units are (1&nbsp;a = 100&nbsp;m<sup>2</sup>) and hectare (1&nbsp;ha = 100&nbsp;a) are used for agrarian areas.

|-

| rowspan="2"|volume

| rowspan="2"|V

|cubic metre||m<sup>3</sup>|| ||

|-

||litre||L, l||1&nbsp;L = 1&nbsp;dm<sup>3</sup> ||The capital L is preferred as the small l can be indistinguishable from the number 1 in some fonts.

|-

| rowspan="4"|time, time interval, duration

| rowspan="4"|t

|second||s||The second is the duration of 9&thinsp;192&thinsp;631&thinsp;770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom

| rowspan="4"|Representations of time of day are defined in ISO 8601.

|-

|minute||min||1&nbsp;min = 60&nbsp;s

|-

|hour||h||1&nbsp;h = 60&nbsp;min = 3&thinsp;600&nbsp;s

|-

|day||d||1&nbsp;d = 24&nbsp;h = 1&thinsp;440&nbsp;min = 86&thinsp;400&nbsp;s

|-

|angular velocity||ω||radian per second|||| ||ω=

|-

|angular acceleration||α||radian per second squared|||| ||α=

|-

|rowspan="2"|velocity

|rowspan="2"|v (general symbol),<br>v (velocity vector),<br>c (propagation speed of waves),<br>u, v, w (components of a velocity c)

||metre per second

|||| <!-- --> ||

|-

||kilometre per hour

| || <!-- --> ||

|-

|acceleration, acceleration vector||a, a

| rowspan="2"|metre per second squared

| rowspan="2"|

| rowspan="2"|1&nbsp;g = 9.80665&nbsp;

| rowspan="2"|

|-

|acceleration of free fall, acceleration due to gravity||g

|}

Annex A

Annex A of ISO 31-1 lists units of space and time based on the foot, pound, and second.

Annex B

Annex B lists some other non-SI units of space and time, namely the gon, light year, astronomical unit, parsec, tropical year, and gal.

References