Metre per second squared

Encyclopedia

The

of acceleration

in the International System of Units

(SI). As a derived unit

it is composed from the SI base unit

s of length, the metre

, and the standard unit of time, the second

. Its symbol is written in several forms as m/s

As acceleration, the unit is interpreted physically as change in velocity or speed per time interval, i.e. metre per second

per second

.

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

Thus, the Earth's gravitational field (near ground level) can be quoted as 9.8 metres per second squared, or the equivalent 9.8 N/kg.

Acceleration can be measured in ratios to gravity, such as g-force

, and peak ground acceleration

in earthquakes.

**metre****per second squared**is the unitUnits of measurement

A unit of measurement is a definite magnitude of a physical quantity, defined and adopted by convention and/or by law, that is used as a standard for measurement of the same physical quantity. Any other value of the physical quantity can be expressed as a simple multiple of the unit of...

of acceleration

Acceleration

In physics, acceleration is the rate of change of velocity with time. In one dimension, acceleration is the rate at which something speeds up or slows down. However, since velocity is a vector, acceleration describes the rate of change of both the magnitude and the direction of velocity. ...

in the International System of Units

International System of Units

The International System of Units is the modern form of the metric system and is generally a system of units of measurement devised around seven base units and the convenience of the number ten. The older metric system included several groups of units...

(SI). As a derived unit

SI derived unit

The International System of Units specifies a set of seven base units from which all other units of measurement are formed, by products of the powers of base units. These other units are called SI derived units, for example, the SI derived unit of area is square metre , and of density is...

it is composed from the SI base unit

SI base unit

The International System of Units defines seven units of measure as a basic set from which all other SI units are derived. These SI base units and their physical quantities are:* metre for length...

s of length, the metre

Metre

The metre , symbol m, is the base unit of length in the International System of Units . Originally intended to be one ten-millionth of the distance from the Earth's equator to the North Pole , its definition has been periodically refined to reflect growing knowledge of metrology...

, and the standard unit of time, the second

Second

The second is a unit of measurement of time, and is the International System of Units base unit of time. It may be measured using a clock....

. Its symbol is written in several forms as m/s

^{2}, m·s^{−2}, or m s^{−2}.As acceleration, the unit is interpreted physically as change in velocity or speed per time interval, i.e. metre per second

Metre per second

Metre per second is an SI derived unit of both speed and velocity , defined by distance in metres divided by time in seconds....

per second

Second

The second is a unit of measurement of time, and is the International System of Units base unit of time. It may be measured using a clock....

.

## Example

An object experiences a constant acceleration of one metre per second squared (1 m/s^{2}) from a state of rest, when it achieves the speed of 5 m/s after 5 seconds and 10 m/s after 10 seconds.## Related units

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

Kilogram

The kilogram or kilogramme , also known as the kilo, is the base unit of mass in the International System of Units and is defined as being equal to the mass of the International Prototype Kilogram , which is almost exactly equal to the mass of one liter of water...

(kg). One newton equals one kilogram

Kilogram

The kilogram or kilogramme , also known as the kilo, is the base unit of mass in the International System of Units and is defined as being equal to the mass of the International Prototype Kilogram , which is almost exactly equal to the mass of one liter of water...

metre per second squared. Therefore, the unit metre per second squared is equivalent to newton per kilogram, N·kg

^{−1}, or N/kg.Thus, the Earth's gravitational field (near ground level) can be quoted as 9.8 metres per second squared, or the equivalent 9.8 N/kg.

Acceleration can be measured in ratios to gravity, such as g-force

G-force

The g-force associated with an object is its acceleration relative to free-fall. This acceleration experienced by an object is due to the vector sum of non-gravitational forces acting on an object free to move. The accelerations that are not produced by gravity are termed proper accelerations, and...

, and peak ground acceleration

Peak ground acceleration

Peak ground acceleration is a measure of earthquake acceleration on the ground and an important input parameter for earthquake engineering, also known as the design basis earthquake ground motion...

in earthquakes.