Meters Per Second Squared Definition

SI derived unit of acceleration

Metre per second squared
Unit system	SI
Unit of	acceleration
Symbol	thousand / southⁱⁱ

The metre per second squared is the unit of acceleration in the International System of Units (SI). Equally a derived unit, information technology is composed from the SI base units of length, the metre, and fourth dimension, the second. Its symbol is written in several forms as m/due south² , m·s⁻² or ms⁻² , ${\tfrac {\operatorname {m} }{\operatorname {s} ^{2}}}$ , or less normally, as g/s/s.^[1]

Equally dispatch, the unit of measurement is interpreted physically as change in velocity or speed per time interval, i.e. metre per second per 2d and is treated equally a vector quantity.

Example [edit]

An object experiences a constant acceleration of one metre per second squared (1 m/south²) from a land of residual, then it achieves the speed of v m/south subsequently 5 seconds and 10 chiliad/s after 10 seconds. The average dispatch a can exist calculated past dividing the speed v (grand/due south) by the time t (s), so the average acceleration in the first instance would be calculated: $a={\frac {\Delta v}{\Delta t}}={\frac {five{\text{ m/s}}}{5{\text{ due south}}}}=ane{\text{ (k/s)/s}}=1{\text{ m/southward}}^{ii}$ .

[edit]

Newton'south 2nd police force states that forcefulness equals mass multiplied by acceleration. The unit of force is the newton (Due north), and mass has the SI unit kilogram (kg). Ane newton equals 1 kilogram metre per 2nd squared. Therefore, the unit metre per second squared is equivalent to newton per kilogram, N·kg^−one, or North/kg.^[2]

Thus, the Globe'due south gravitational field (near basis level) can be quoted as 9.8 metres per second squared, or the equivalent 9.8 Due north/kg.

Acceleration can be measured in ratios to gravity, such as m-force, and pinnacle ground acceleration in earthquakes.

Unicode character [edit]

The "metre per second squared" symbol is encoded past Unicode at code signal U+33A8 ㎨ Foursquare M OVER S SQUARED. This is for compatibility with East Asian encodings and not intended to be used in new documents.^[3]

Conversions [edit]

Conversions between mutual units of acceleration
Base value	(Gal, or cm/s²)	(ft/s²)	(thousand/s²)	(Standard gravity, g ₀)
i Gal, or cm/s^two	1	0.0328084	0.01	i.01972 ×ten⁻³
1 ft/s²	30.4800	1	0.304800	0.0310810
one one thousand/s²	100	3.28084	1	0.101972
1 thousand ₀	980.665	32.1740	ix.80665	ane

References [edit]

^ Note that the SI standard does non permit the latter: NIST Special Publication 330, 2008 Edition: The International System of Units (SI) p. 130 "A solidus must not be used more than once in a given expression without brackets to remove ambiguities."
^ Kirk, Tim: Physics for the IB Diploma; Standard and College Level, Page 61, Oxford University Press, 2003.
^ Unicode Consortium (2019). "The Unicode Standard 12.0 – CJK Compatibility Range: 3300–33FF" (PDF). Unicode.org . Retrieved May 24, 2019.