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The
Metric System
One of the principal advantages of the Metric System is its use of only one
unit (standard of size) for each parameter (thing that is being measured). The
metric units are interrelated in such a way that only five fundamental standards
are necessary. These fundamental standards are identified with an
* in the tables below.
The 5
Standard Metric Units
Second - time
Gram - mass
degrees Kelvin - temperature
Candle - light
Coulomb - electrical charge
MECHANICS
|
Parameter: |
Metric Unit |
English Units |
|
time
duration, delay |
second *
s
|
second, minute
hour, day |
|
frequency
|
Hertz
1/s |
cycle per
second |
|
length
distance, displacement |
Meter
1/299 792 458 light sec
m |
inch, foot,
yard
rod, chain, furlong, mile |
|
velocity,
speed
rate of change of position |
meter per
second
m/s |
foot per second
mile per hour, knot |
|
acceleration
rate of change of velocity |
meter per
second squared
m/s2 |
foot per second
squared |
|
mass
quantity of material |
gram *
g
|
ounce, pound,
ton |
|
force
push, pull, or weight |
Newton
kg m/s2 |
pound-force
|
|
impulse
force times time |
newton
second
kg m/s |
pound-force
second |
|
momentum
mass times velocity |
kilogram
meter per second
kg m/s |
pound foot per
second |
|
work,
energy
force times distance |
joule
(pronounced "jewel")
= one newton meter
kg m2/s2 |
foot
pound-force |
|
power
rate of doing work |
Watt
= one joule per second
kg m2/s3 |
foot
pound-force per second
horsepower |
|
area
size of a surface |
square meter
m2 |
square foot,
square yard
acre, square mile |
|
pressure
force per unit area |
Pascal
newton per square meter
kg/m s2 |
pound-force per
square inch |
|
volume,
capacity |
cubic meter
(stere)
m3 |
pint, quart,
gallon
cubic foot, cubic yard |
|
density,
heaviness |
grams per
cubic centimeter
g/cm3 |
pounds per
cubic foot |
HEAT
|
Parameter: |
Metric Heat Unit |
English Heat Unit |
|
heat energy |
joule,
calorie, Calorie
1 cal = 4.186 joules
1 Cal = 4186 joules |
British Thermal Unit |
|
temperature change |
kelvin *
|
Fahrenheit degree |
|
temperature |
degrees kelvin |
degrees Fahrenheit |
|
|
|
|
LIGHT
|
Parameter: |
Metric Light Unit |
|
luminous intensity |
candle *
|
|
luminous flux |
lumen
one candle produces 4 pi lumens |
|
illumination |
lux
lumen per square meter |
|
focus |
diopter
reciprocal meters |
|
astronomical distance |
parsec |
|
|
|
ELECTRICITY &
MAGNETISM (There are no English electrical units)
|
Parameter: |
Metric Electrical Unit |
|
electric charge |
coulomb *
96,500 coul = 1 faraday
faraday = 1 mole of electrons |
|
electromotive force (EMF) |
volt (joule per coulomb) |
|
capacitance |
farad (coulomb per volt) |
|
electric current |
ampere (coulomb per second) |
|
electric energy |
joule (watt second)
(newton meter)
KWH = 3,600,000 joules |
|
electric power |
watt (joule per second) |
|
electrical resistance |
ohm (volt per ampere) |
|
electrical conductivity |
siemens (coulomb per joule)
(ampere per volt) |
|
electrical field strength |
volts per meter |
|
electromagnetic inductance |
henry (pl. henrys) |
|
magnetic field intensity |
oersted (formerly the gauss) |
|
magnetic flux |
weber (108 maxwells) |
|
magnetic flux density |
tesla weber per square meter |
|
magnetomotive force |
gilbert |
Each physical quantity (length, mass, volume, etc.) is
represented by a specific SI unit. That unit is made larger or smaller by
addition of a prefix to the stem unit.
|
Type of Measurement |
Unit Name |
Symbol |
|
length, width, distance, thickness,
girth, etc. |
meter |
m |
|
mass (often called weight) |
kilogram* |
kg |
|
mass
(larger) |
metric
ton |
t |
|
time |
second |
s |
|
temperature |
degree Celsius** |
°C |
|
area |
square
meter |
m2 |
|
area
(land) |
hectare |
ha |
|
volume (liquid or other) |
liter |
L*** |
|
volume
(larger) |
cubic
meter |
m3 |
|
density |
kilogram
per cubic meter |
kg/m3 |
|
velocity |
meter per
second |
m/s |
|
velocity
(autos) |
kilometer
per hour |
km/h |
|
force |
newton |
N |
|
pressure,
stress |
kilopascal |
kPa |
|
energy |
kilojoule |
kJ |
|
power |
watt |
W |
*The gram (g) is the stem unit to which other prefixes are added.
**The kelvin (K) is the SI base unit of thermodynamic temperature.
***The capital el (L) is preferred as the symbol for liter in the USA;
however the lower case el (l) also is correct and is used in many metric
countries.
|
Force |
Newton |
N |
kg m s-2 |
|
Energy |
joule |
J |
kg m2 s-2 |
|
Power |
watt |
W |
kg m2 s-3 |
|
Frequency |
hertz |
Hz |
s-1 |
|
Charge |
coulomb |
C |
A s |
|
Capacitance |
farad |
F |
C2 s2 kg-1 m-2 |
|
Magnetic Induction |
tesla |
T |
kg A-1 s-2 |
|
Prefix: |
Symbol: |
Magnitude: |
Meaning (multiply by): |
|
Yotta- |
Y |
1024 |
1 000 000 000 000 000 000 000 000 |
|
Zetta- |
Z |
1021 |
1 000 000 000 000 000 000 000 |
|
Exa- |
E |
1018 |
1 000 000 000 000 000 000 |
|
Peta- |
P |
1015 |
1 000 000 000 000 000 |
|
Tera- |
T |
1012 |
1 000 000 000 000 |
|
Giga- |
G |
109 |
1 000 000 000 |
|
Mega- |
M |
106 |
1 000 000 |
|
myria- |
my |
104 |
10 000 (this is now obsolete) |
|
kilo- |
k |
103 |
1000 |
|
hecto- |
h |
102 |
100 |
|
deka- |
da |
10 |
10 |
|
- |
- |
- |
- |
|
deci- |
d |
10-1 |
0.1 |
|
centi- |
c |
10-2 |
0.01 |
|
milli- |
m |
10-3 |
0.001 |
|
micro- |
u (mu) |
10-6 |
0.000 001 |
|
nano- |
n |
10-9 |
0.000 000 001 |
|
pico- |
p |
10-12 |
0.000 000 000 001 |
|
femto- |
f |
10-15 |
0.000 000 000 000 001 |
|
atto- |
a |
10-18 |
0.000 000 000 000 000 001 |
|
zepto- |
z |
10-21 |
0.000 000 000 000 000 000 001 |
|
yocto- |
y |
10-24 |
0.000 000 000 000 000 000 000 001 |
|
Prefix Name
|
Prefix Symbol
|
Prefix Value
|
|
giga |
G |
1 000
000 000 |
109 |
|
mega |
M |
1 million or 1 000 000 |
106 |
|
kilo |
k |
1 thousand or 1000 |
103 |
|
hecto |
h |
100 |
102 |
|
deka |
da |
10 |
10 |
|
|
|
|
|
|
deci |
d |
1/10 or 0.1 |
10-1 |
|
centi |
c |
1/100 or 0.01 |
10-2 |
|
milli |
m |
1/1000 or 0.001 |
10-3 |
|
micro |
µ |
1/1 000 000 or 0.000 001 |
10-6 |
|
nano |
N |
1/1 000 000 000 or 0.000 000 001
|
10-9 |
Some special relationships:
- 1 milliliter = 1 cubic centimeter
- 1 milliliter of water has a mass of approximately 1
gram
- 1 liter of water has a mass of approximately 1
kilogram
- 1 cubic meter of water has a mass of approximately 1
metric ton
Legal/official (exact)
definitions of inch-pound units as set by U.S. law:
- 1 inch = 25.4 millimeters
- 1 pound = 453.592 37 grams
(453.6 g)
- 1 gallon = 3.785 411 784 liters
(3.79 L)
Note: In Canada the inch and the pound are defined identically, but 1
Canadian gallon = 4.546 09 liters.
Approximate conversion factors between inch-pound units and the
International System of Units (SI):
- Multiply inches by 2.54 to get centimeters (this
conversion factor is exact)
- Multiply feet by 0.305 to get meters
- Multiply miles by 1.6 to get kilometers
- Divide pounds by 2.2 to get kilograms
- Multiply ounces by 28 to get grams
- Multiply fluid ounces by 30 to get milliliters
- Multiply gallons by 3.8 to get liters
|
temperature |
kelvins |
degrees Celsius |
degrees Fahrenheit |
|
symbol |
°K |
°C |
°F |
|
boiling
point of water |
373.15
|
100. |
212. |
|
average
human body temperature |
|
37. |
98.6 |
|
average
room temperature |
|
20. to
25. |
68. to
77. |
|
freezing
/ melting point of water / ice |
273.15
|
0. |
32. |
|
absolute
zero |
0. |
-273.15
|
-459.67
|
kelvin / degree Celsius conversions (exact):
- kelvins = degrees Celsius + 273.15
- degrees Celsius = kelvins - 273.15
degree Fahrenheit / degree Celsius conversions (exact):
- degrees F = degrees C x 1.8 + 32.
- degrees C = (degrees F - 32.) / 1.8
A degree Celsius memory device:
There are several memory aids that can be used to help the novice
understand the degree Celsius temperature scale. One such nemoic is:
When it's zero it's
freezing,
when it's 10 it's not,
when it's 20 it's warm,
when it's 30 it's hot!
Or, another one to remember:
30's hot
20's nice
10's cold
zero's ice
Important dates in the history of the modern
metric system (S.I.):
1670 metric system
originated on about this date. Gabriel Mouton, a French vicar
1790 Thomas
Jefferson proposed a
decimal-based measurement system for the United States.
1792
The U.S. Mint was formed to produce
the world's first decimal currency (the U.S. dollar consisting of 100
cents).
1866
The use of the metric system made legal (but not mandatory) in the
United States by the Metric Act of 1866 (Public Law 39-183). This law
also made it unlawful to refuse to trade or deal in metric quantities.
1975 The
Metric Conversion Act of 1975 (Public Law 94-168) passed by Congress.
The Act established the U.S. Metric Board to coordinate and plan the
increasing use and voluntary conversion to the metric system. However, the Act
was devoid of any target dates for metric conversion.
1979 BATF requires wine producers and
importers to switch to metric bottles in seven standard [liter and milliliter]
sizes.
1983 The meter is redefined in terms of the
speed of light by the 17th CGPM, resulting in better precision but keeping its
length the same.
1988 The Omnibus Trade and Competitiveness Act
of 1988 amended and strengthened the
Metric Conversion Act of 1975, designating the SI metric system as the
preferred measurement system, and requiring each federal agency to be metric by
the end of fiscal year 1992.
1991 President
George Bush signed
Executive Order 12770, Metric Usage in Federal Government Programs directing
all executive departments and federal agencies implement the use of the metric
system. The Executive Order is also available as an appendix to:
Interpretation of the SI for the United States and Federal Government Metric
Conversion Policy
1994 The
Fair Packaging and Labeling Act (FPLA) was amended by the Food and Drug
and Administration (FDA) to require the use of dual units (inch-pound AND
metric) on all consumer products.
1996 As of July 1996 all surface temperature
observations in National Weather Service
METAR/TAF reports are now transmitted in degrees Celsius.
2001 April 09 U.S.
Stock Exchanges changed to decimal trading. The
Securities and Exchange Commission has ordered that all stocks must be
quoted in dollars and cents rather than fractions by this date. The switch to
decimal trading brought the U.S. in line with the rest of the world's major
exchanges. This follows the change of the Canadian Stock Exchanges to decimal
trading in 1996.
Susan Augustyn
Room 31
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