Units and Their Conversion

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Value Exponent Symbol Prefix
1 000 000 000 000 1012 T tera
1 000 000 000 109 G giga
1 000 000 106

M

mega
1 000 103 k kilo
100 102 h hecto
10 101 da deca
0.1 10-1 d deci
0.01 10-2 c centi
0.001 10-3 m milli
0.000 001 10-6 μ micro
0.000 000 001 10-9 n nano
0.000 000 000 001 10-12 p pico

BASIC UNITS
SI
IMPERIAL
DISTANCE

1 metre (1 m) = 100 centimetres (100 cm)

1 metre (1 m) = 1000 millimetres (1000 mm)

1 kilometre (1 km) = 1000 m

12 in. = 1 ft

3 ft = 1 yd

5280 ft = 1 mile

1760 yd = 1 mile

Conversions:

1 ft = 30.48 cm

1 m = 3.28 ft

1 in. = 25.4 mm

1 mile = 1.61 km

1 yd = 0.914 m

Area

 

1 sq metre (1 m2) = 10 000 cm2

1 sq metre (1 m2) = 1 000 000 mm2

10 000 m2 = 1 hectare (1 ha)

1 sq km (1 km2) = 1 000 000 m2

1 ft2 = 144 in.2

1 yd2 = 9 ft2

1 sq mile = 640 acre = 1 section

Conversions:

1 in.2 = 6.45 cm2= 645 mm2

1 m2 = 10.8 ft2

1 acre = 0.405 ha

1 sq mile = 2.59 km2

Volume

1 m3 = 1 000 000 cm3

1 m3 = 1 x 109 mm3

1 dm3 = 1 litre

1 litre = 1000 cm3

1 mL= 1 cm3

1 m3 = 1000 litres

1 ft3 = 1728 in.3

1 yd3 = 27 ft3

1(liquid) U.S. gallon = 231 in.3

1(liquid) U.S. gallon = 4 (liquid) quarts

1 U.S. barrel (bbl) = 42 U.S. gal.

1 imperial gallon = 1.2 U.S. gal.

Conversions:

1 in.3 = 16.4 cm3

1 m3 = 35.3 ft3

1 litre = 61 in.3

1 U.S.gal = 3.78 litres

1 U.S. bbl = 159 litres

1 litre/s = 15.9 U.S. gal/min

Mass and Weight

1 kilogram (1 kg) = 1000 grams

1000 kg = 1 tonne

2000 lb = 1 ton (short)

1 long ton = 2240 lb

Conversions:

1 kg (on Earth) results in a weight of 2.2 lb

Conversions:
Images Images

(on Earth) a mass density of 1kg/m3 results in a weight density of 0.0623 lb/ft3

Relative Density:

In SI R.D. is a comparison of mass density to a standard. For solids and liquids the standard is fresh water.

In Imperial the corresponding quantity is specific gravity; for solids and liquids a comparison of weight density to that of water.

Conversions:

In both systems the same numbers hold for R.D. as for S.G. since these are equivalent ratios.

Relative Densities of Various Substances

Water (fresh)...............1.00

Water (sea average) ....1.03

Aluminum...................2.56

Antimony....................6.70

Bismuth.......................9.80

Brass ...........................8.40

Brick ...........................2.1

Calcium.......................1.58

Carbon (diamond).......3.4

Carbon (graphite)........2.3

Carbon (charcoal) .......1.8

Chromium...................6.5

Clay.............................1.9

Coal.............................1.36-1.4

Cobalt .........................8.6

Copper ........................8.77

Cork ............................0.24

Glass (crown)..............2.5

Glass (flint).................3.5

Gold ..........................19.3

Iron (cast)....................7.21

Iron (wrought) ............7.78

Lead ..........................11.4

Magnesium .................1.74

Manganese..................8.0

Mercury ....................13.6

Mica............................2.9

Nickel .........................8.6

Oil (linseed) ................0.94

Oil (olive) ...................0.92

Oil (petroleum) ...........0.76-0.86

Oil (turpentine) ...........0.87

Paraffin .......................0.86

Platinum....................21.5

Sand (dry) ...................1.42

Silicon.........................2.6

Silver.........................10.57

Slate ............................2.1-2.8

Sodium........................0.97

Steel (mild) .................7.87

Sulphur .......................2.07

Tin...............................7.3

Tungsten ...................19.1

Wood (ash) .................0.75

Wood (beech) .............0.7-0.8

Wood (ebony).............1.1-1.2

Wood (elm).................0.66

Wood (lignum-vitae) ..1.3

Wood (oak).................0.7-1.0

Wood (pine)................0.56

Wood (teak) ................0.8

Zinc.............................7.0

Greek Alphabets and their Symbols

Alpha

α Iota ι Rho

ρ
Beta β Kappa κ Sigma Σ, σ
Gamma γ Lambda λ Tau τ
Delta Δ Mu μ Upsilon υ

Epsilon

ε Nu ν Phi Φ, φ
Zeta ζ Xi ξ Kai χ
Eta η Omicron Ο Psi ψ

Theta

θ Pi π Omega Ω, ω

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