Metric System of Measurement
The
m | - | the metre for length |
kg | - | the kilogram for mass |
s | - | the second for time |
we can measure nearly everything in the world! It's so easy.
Examples:-
Metre
The length of this guitar is
about 1 metre:
When unfolded this ruler
measures 2 metres:
Kilogram
This gold bar has a mass
of 1 kilogram:-
A dictionary also has a mass of
about 1 kilogram:-
Second
to say "one thousand and one"
Larger or Smaller ???
But what if we want to talk about big or small things?
Answer: we can use Metric Number Prefixes
- like kilo
- and milli
- and so on
In fact the kilogram already uses this method, as it's a thousand grams, a kilogram.
Here is a quick summary of the special prefixes:
Common Big and Small Numbers
Name | The Number | Prefix | Symbol |
trillion | 1,000,000,000,000 | tera | T |
billion | 1,000,000,000 | giga | G |
million | 1,000,000 | mega | M |
We can also combine the metre, kilogram and second to make new Units of Measurement!
Here are a few common units that are based on the metre, kilogram and second:
Volume:
Cubic Metre
Volume is length by length by length, so the basic unit of volume is a cube that is 1 metre on each side, in other words one cubic metre.
The Unit is metres × metres × metres, which is written m3
Litre
A cube that is 1 metre on each side is also equal to 1,000 litres.
1 m3 = 1,000 Litres
Litre is abbreviated L (some people use lowercase l, but that looks too much like 1).
So a litre is actually one-thousandth of a cubic metre.
Area
Square Metre
Area is length by length, so the basic unit of area is a square that is 1 metre on each side, in other words one square metre.
The Unit is metres × metres, which is written m2
Another way of thinking about a litre is:
- A box that is 0.1 metres (10 cm) on each side,
- One square metre that is millimetre thick.
Time
Hour
An hour is 60 minutes, and a minute is 60 seconds, so an hour is:
- 60 × 60 = 3,600 seconds
Day
A day is 24 hours so:
- 1 day = 24 × 60 × 60 = 86,400 second
Speed
Speed in metres per second (m/s)
This is a combination of two units (metres and seconds) to make a new one (m/s).
If something is moving at 1 m/s it moves 1 metre every second.
Speed in kilometres per hour (km/h)
A kilometre has 1000 metres, and an hour has 3600 seconds, so a kilometre per hour is:
- 1000 / 3600 = 1/3.6 = 0.277... m/s
How did I know to make it 1000/3600, and not 3600/1000 (the other way around)?
Acceleration
Acceleration is how fast velocity changes.
When a runner accelerates from 5 m/s (5 metre per second) to 6 m/s (6 metres per second) in just one second, they accelerate by 1 metre per second per second!
And yes, "per second" is used twice!
It can be thought of as (m/s)/s but is usually written m/s2
Force is usually measured in the Unit of Newtons, an important measurement in Physics and Engineering.Force
A Newton is how much force it takes to make 1 kg accelerate at 1 m/s2.
1 Newton = 1 kg m/s2 (one kilogram metre per second squared).
So force is actually based on the metre, kilogram and second.
So force is a combination of the three basic units.
SI
The Metric System had its beginnings back in 1670 by a mathematician called Gabriel Mouton.
The modern version, (since 1960) is correctly called "International System of Units" or "SI" (from the French "Système International").
So we should really call it "SI", but mostly people just call it "Metric".
A few special units are also needed to complete the SI System:
- ampere for electric current,
- kelvin for temperature,
- mole for the amount of substance, and
- candela for luminous intensity
complete list:
Quantity | Name | Symbol |
---|---|---|
Length | metre | m |
Mass | kilogram | kg |
Time | second | s |
Electric Current | ampere | A |
Temperature | kelvin | K |
Amount of substance | mole | mol |
Luminous intensity | candela | cd |
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