Unit, Fractions - Classification of Unit
Workshop Calculation & Science - Fitter
Unit, Fractions - Classification of Unit
Necessity
All physical quantities are to be measured in terms of standard quantities.
Unit
A unit is defined as a standard or fixed quantity of one kind used to measure other quantities of the same kind.
Classification
Fundamental units and derived units are the two classifications.
Fundamental Units
Units of basic quantities of length, mass and time.
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Classification of Unit System
Necessity
All physical quantities are to be measured in terms of standard quantities.
Unit
A unit is defined as a standard or fixed quantity of one kind
used to measure other quantities of the same kind.
Classification
Fundamental units and derived units are the two classifications.
Fundamental units
Units of basic quantities of length, mass and time.
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Fundamental and Derived Units F.P.S, C.G.S, M.K.S and SI Units
- F.P.S system is the British system in which the basic units of length, mass and time are foot, pound and second respectively.
- C.G.S system is the metric system in which the basic units of length, mass and time are centimeter, gram and seconds respectively.
- M.K.S system is another metric system in which the basic units of length, mass and time are metre, kilogram and second respectively
- S.I. units are referred to as Systems International units which is again of metric and the basic units, their names and symbols are as follows.
Electrical Quantities
Electrical Quantities
|
Symbol |
Quantity |
Unit Symbol |
Unit Name |
Expression |
|---|---|---|---|---|
|
V |
Electric Potential |
V |
Volt |
V = W/A |
|
E |
Electromotive Force (EMF) |
V |
Volt |
V = W/A |
|
I |
Electric Current |
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Units of Weight
Units of Weight
|
Unit |
Equivalent |
|---|---|
|
Milligram-force |
1 mgf |
|
Gram-force |
1 gf = 1000 mgf |
|
Kilogram-force |
1 kgf = 1000 gf |
|
Tonne (metric ton) |
1 t = 1000 kgf |
|
Ounce |
1 oz = 28.35 gf |
|
Pound |
1 lb = 0.454 kgf |
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Prime Numbers and Whole Numbers
Prime Numbers and Whole Numbers
Factor
A factor is a number which divides another number exactly.
Examples:
To find the factors of 24, 72, 100:
- 24 = 2 × 2 × 2 × 3
- 72 = 2 × 2 × 2 × 3 × 3
- 100 = 2 × 2 × 5 × 5
The numbers 2, 3, 5 are called factors.
Prime Factor
A prime factor is a prime number which divides a given number exactly.
Example:
57 = 3 × 19
The numbers 3 and 19 are prime factors.
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Lowest Common Multiple (L.C.M)
Lowest Common Multiple (L.C.M)
Definition
The Lowest Common Multiple (LCM) of a group of numbers is the smallest number that is exactly divisible by all the given numbers.
Prime Factorization Method
Example 1: Find LCM of 20, 66, 128
- 20 = 2 × 2 × 5
- 66 = 2 × 3 × 11
- 128 = 2 × 2 × 2 × 2 × 2 × 2 × 2
Take highest powers of all prime factors:
LCM = 27 × 3 × 5 × 11 = 42240
Example 2: Find HCF of 78, 128, 196
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Units of Area
Units of Area
|
Unit |
Equivalent |
|---|---|
|
Square millimetre |
1 mm² |
|
Square centimetre |
1 cm² = 100 mm² |
|
Square decimetre |
1 dm² = 100 cm² |
|
Square metre |
1 m² = 100 dm² |
|
Are |
1 a = 100 m² |
|
Hectare |
1 ha = 100 a |
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Conversion Factors
Conversion Factors
|
Conversion |
|---|
|
1 inch = 25.4 mm |
|
1 mm = 0.03937 inch |
|
1 metre = 39.37 inch |
|
1 micron = 0.00003937 inch |
|
1 kilometre = 0.621 miles |
|
1 pound = 453.6 g |
|
1 kg = 2.205 lb |
|
1 metric ton = 0.98 ton |
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