DIMENSIONAL ANALYSIS NUMERICAL PREFIXES UNIT CONVERSIONS by nak14542

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```									                                        DIMENSIONAL ANALYSIS

Name                              Dimension                   SI Unit                    Symbol
*length                           l                           meter                      m
*time                             t                           second                     s
*mass                             m                           gram                       g
1 1 -2
weight                            mlt                         newton                     N
1 -1
velocity                          lt                          m/s                        m/s
1 -2                           2                          2
acceleration                      lt                          m/s                        m/s
1 1 -2
force                             mlt                         newton                     N
1 2 -2
work & energy                     mlt                         joule                      J
1 2 -3
power                             mlt                         erg/s                      erg/s
1 -1 -2
pressure                          ml t                        pascal                     Pa
3                                                       3
volume                            l                           cubic meter                m
-3                            3
density                           ml                          kg/m                       ρ
electric charge                   At                          coulomb                    C
*temperature                      T                           Kelvin                     K
*amount of substance              mol                         mole                       mol
*electric current                 A                           ampere                     A
*luminosity                       cd                          candela                    cd

* Indicates SI base units – all others are derived.

NUMERICAL PREFIXES                                    UNIT CONVERSIONS
Prefix           Symbol           Magnitude           Linear Measure
18
exa              E                10                  1 inch = 25.40 millimeters
15
peta             P                10                  1 mile = 1.609 kilometers
12
tera             T                10                  1 mile = 5280 feet
9
giga             G                10
6
mega             M                10                  Square Measure
3
kilo             k                10                  1 square mile = 640 acres = 259 hectares
2
hecto            h                10                  1 acre = 4840 square yards = 0.405 hectare
deka             da               10
-1
deci             d                10                  Capacity Measure - Liquid
-2
centi            c                10                  1 quart = 2 pints = 0.946 liters
-3
milli            m                10
-6
micro            µ                10                  Mass
-9
nano             n                10                  1 pound = 16 ounces = 0.4536 kilogram
-12
pico             p                10                  1 ounce = 28.35 grams
-15
femto            f                10
-18
atto             a                10                  Temperature
°F = 9C/5+32
°C = 5(F-32)/9
Geometry                                              K = C+273.15
2
Area of a circle:                 πr
Circumference of a circle:        2πr                 Energy
2
Surface area of a sphere:         4πr                 1 BTU = 778.3ft•lb = 252 cal = 1055 joule
4     3
Volume of a sphere:                /3πr               1 joule = 4.184 calories
LHK898JSC

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