Fundamental (or base) units and derived units
The metre, kilogram,
second and ampere are called fundamental units or
base units. See:
Base units
From these units we
can derive some more units that are called
derived units.
These units are built
up step by step from the base units and usually given a distinct name.
Examples of
derived units are those for velocity, acceleration, force (Newton), work (Joule), energy
(Joule), charge (Coulomb), pressure (Pascal) and density
As an example we will
look at how the unit for potential difference (volt) is derived from the four base
units
The volt is defined as the work done per unit charge
1. Combining two
base units, metre and second, we have the derived unit for velocity (ms
-1)
2.
Combining two base units, amp and second, we have the derived unit for charge (As) (simply
called the Coulomb)(C)
3. Combining the base unit second with the derived unit for
velocity we have another derived unit for acceleration (ms
-2)
4. Combining the
base unit kilogram with the derived unit for acceleration we have another derived unit, this
time for force (ms
-2) (simply called the Newton)(N)
5. Combining the base unit
metre with the derived unit for force we have another derived unit, this time for work (or
energy) (kgm
2s
-2) (simply called the Joule)(J)
6. Combining two derived
units, that for work (kgm
2s
-2) with that for charge (As) we have the derived
unit for potential difference (kgm
2s
-3A
-1) (simply called the
volt)(V)
You can also show how to build up the derived unit for the volt using the
following table.
Base unit |
Base unit |
Derived unit |
Derived unit |
Derived unit |
metre (m) |
second |
velocity |
|
|
ampere (A) |
second |
Charge (C) (As) |
|
|
second (s) |
|
velocity |
acceleration (ms-2) |
|
kilogram (kg) |
|
acceleration |
force (N) (kgms-2) |
|
|
metre |
force |
work (J) (kgm2s-2) |
|
|
|
work |
charge |
potential difference |
A VERSION IN WORD IS AVAILABLE ON THE SCHOOLPHYSICS USB