**Systems of Units Measurement**

**The CGS (centimeter, gram, second) system**

- Length is measured in centimeters, mass is measured in grams and time is measured in seconds.
- Thus centimeter, gram and seconds are the fundamental units of measurement in the CGS system.

**MKS (meter, kilogram, second) system**** **

- Unit of measurement for length is meter, for mass it is kilogram and for time it is seconds.
- Thus in this system meter, kilogram and seconds are fundamental units of measurement.
- This system was used in France and number of other European countries.

**FPS (foot, pound, second) system**

- Unit of measurement for length is foot, for mass it is pound and for time it is second.
- This system is used commonly in Britain and the countries that were under its rule.

**SI system**

- In SI system length is measured in meter, mass in kilogram and time in seconds
- The SI system or the International system of standards has now replaced all the systems of measurement.

Base quantity |
Name |

length | meter |

mass | kilogram |

time | second |

electric current | ampere |

temperature | kelvin |

amount of substance | mole |

luminous intensity | candela |

## Fundamental & Derived Units

#### Fundamental Units

- The units of fundamental physical quantities (length, mass & time) are called fundamental units.
- These units can neither be derived from one another nor can be resolved into any other units.
- They are independent of one another.

**Derived Units**

- Are the units of physical quantities which can be expressed in terms of fundamental units
- Unit of area can be an example for derived unit. If L is the length of square then L x L = L
^{2 }is its area. Similarly, the volume of a cube is L x L x L = L^{3}cubic area.

## Scalar and Vector Quantity

**Scalar Quantities**** **

- Measurements that strictly refer to the magnitude of the medium – absolutely no directional components
- Everything from tons to ounces to grams, milliliters, seconds & volume are all scalar quantities, as long as they are applied to the medium being measured and not the movement of the medium.
- Two more commonly used scalar quantities in physical calculations are speed and temperature. As long as they are not associated with a directional movement, they remain scalar quantities.

### Vector Quantities

- Refers to both the direction of the medium’s movement as well as the measurement of the scalar quantity.
- Increase/Decrease in Temperature – The measurement of the medium’s temperature is a scalar quantity; the measurement of the increase or decrease in the medium’s temperature is a vector quantity.
- Velocity – The measurement of the rate at which an object changes position is a vector quantity. For example: If a person quickly moves one step forward and then one step backward there would certainly be a lot of activity; but, there would be “zero velocity.”

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