# Metric Unit System

When buying a dial indicator, for example, and you choose one that has millimeter graduation instead of inch graduation, that means you choose the metric dial indicator. The term metric dial indicator means the dial indicator that uses a metric unit system.

Dial indicator is not the only measuring tool that uses metric or imperial or both. There are so many instruments that use these two systems.

Learning the metric unit system can be important. If you live in the countries where the imperial system is commonly used, learning this system lets you know what metric unit to use for someone in the countries that use metrics. For example, to express length, you use kg instead of pound for someone in Japan.

The metric system is also officially used as the international reading system. And there are other benefits of learning this system.

## So, What is Metric Unit System?

A metric unit system is the unit system that uses meter, gram, second, ampere, kelvin, candela, and mol as the base units. These units are actually originated from the 7 fundamental physical quantities. Then this system has derived units to express other further physical quantities (the other quantities that are derived from those 7 fundamental quantities). Aside from that, it has some prefixes to express the unit magnitude.

The purpose of the metric system is to unify dozens of the previous measurement systems.

Since it has a good naming structure, the metric unit system is usually used for scientific and technical purposes. Under the monitoring of the International standard body, then the metric system becomes the International System of Units.

## The Background of Metric Unit System

It is stated that before the development of the metric system in the 18th century, there were many measurement units used in the world [Source: Anthony Carpi, Ph.D.].

For instance, we measure the length in the units of inches, spans, hands, palms, miles, feet, rods, chains, etc. Inches, miles, and feet can be found in the imperial unit system.

These different measurement units for one quantity brought confusion. Therefore, the French government aimed to develop a standardized measurement that can be used worldwide.

In 1790, the decimal-based system of units was made. Then, in 1960, the metric system officially turned to SI. It is the abbreviation for the International System of Units.

The metric system is made based on the natural physical unit when French Revolution occurred. The establishment was proceeded by the National Assembly leading the French Academy of Science to tackle the confusion due to the great number of traditional measurements.

As the metric system was created, it solves the chaotic condition led by dozens of measurement systems that needed to be unified. In this case, the International System of Units begins to unify many measurement systems.

## The 7 Major Metric Base Units

There are 7 fundamental physical quantities that are measurable: length, mass, time, electric current, temperature, luminous intensity, and amount of substance. The reading units of these fundamental quantities are called the base units. Since it’s in a metric system, it becomes metric base units.

For further details, the base quantities and base units will be shown in the table below:

Base QuantitiesBase UnitsSymbol
Massgramg
Lengthmeterm
Timeseconds
Electric currentampereA
TemperaturekelvinK
Luminous intensitycandelcd
Amount of substancemolemol

## Metric Prefix System

In the metric system, you can use prefixes such as exa-, kilo-, hecto-, deca-, milli-, centi-, and many other prefixes.

Sometimes, when you have to express 1.000.000.000.000.000.000 gram, it can be very time-and-space consuming to write down. Herewith, you could use one of the prefixes officially available. Simply add the “exa-” prefix before the gram. Now, it becomes 1 exagram. Every time you read 1 exagram, you know it is 1.000.000.000.000.000.000 gram.

These prefixes can be seen in the table below.

PrefixFactor by which base unit is multipliedSymbol
exa-1018 = 1.000.000.000.000.000.000E
peta-1015= 1.000.000.000.000.000P
tera-1012= 1.000.000.000.000T
giga-109= 1.000.000.000G
mega-106= 1.000.000M
kilo-103= 1.000k
hecto-102=h
deca-10da
base unit1
deci-10-1= 0.1d
centi-10-2= 0.01c
milli-10-3= 0.001m
micro-10-6= 0.000001μ
nano-10-9= 0.000000001n
pico-10-12= 0.000000000001p
femto-10-15= 0.000000000000001f
atto-10-18= 0.000000000000000001a

## Derived Units of Metric System

If a certain unit comes from two or more base units, it is a derived unit. For example, a speed (meter per second) is derived from length (meter) and time (second); from the mathematical combination of the metric base units

That being said, derived units are the units that are generated from the base units. Since it uses metric base units, the derived units are said metric derived units.

There are many derived units; the table below will portray some derived units in the metric system.

QuantitiesDerived UnitsSymbol
AreaSquare meterm2
VolumeCubic meterm3
Speed, VelocityMeter per secondm/s
AccelarationMeter per second squaredm/s2
WavenumberReciprocal meterm-1
Mass densityKilogram per cubic meterkg/m3
Specific volumeCubic meter per kilogramm3/kg
Current densityAmpere per square meter A/m2
Magnet field strengthAmpere per meterA/m
Amount of substance concentrationMole per cubic metermol/m3
LuminanceCandela per square metercd/m3
Mass fractionKilogram per kilogramkg/kg

In addition to derived units, there are derived units with special names. You can see some details of derived units with special names in the table below.

QuantitiesDerived UnitsSpecial NamesSymbol
Frequencys-1HertzHz
Forcem.kg. s-2 2NewtonN
Pressurem-1.kg. s-2PascalPa
Energy, Quantity of heatm2.kg. s-2JouleJ
Electric charge, Quantity of electricitys.ACoulombC
Electric potential differencem2.kg. s-3.A-1VoltV
Electric resistancem2.kg. s-3.A-2OhmΩ
Electric conductancem-2.kg-1. s3.A2SiemensS
Magnetic fluxm2. kg. s-2. A-1WeberWb
Magnetic flux densitykg. s-2.A-1TeslaT
Inductancem2.kg. s-2.A-2HenryH
Luminous fluxm2. m-2.cd= cdLumenlm
Illuminancem2. m-4.cd= m-2.cdluxlx