# Metric System - Reference Guides

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University of Texas - El Paso

Basic Engineering

BE 1101

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l e a r n • r e f e r e n c e • r e v i e w
permacharts TM
Metric System
Metric System
INTRODUCTION S UPPLEMENTARY UNITS
2 rad
• The International System of Units (SI) is a • Radian and steradian are often listed as
modern version of the metric system supplementary units; the current international 3 rad
agreement puts these two dimensionless units
• As a result of a long series of international
discussions, on the 14th of October, 1960, into the derived unit category π rad 1 rad
the Eleventh General Conference on Weights • The radian (rad) is the plane angle formed π = 3.1416
and Measures agreed to adopt the symbol SI between 2 radii of a circle subtended by an arc
(Le Systéme International d’Unités) to whose length is equal to radius; there are 2p
describe system of measurements consisting rad in a circle
THE RADIAN (rad)
of seven basic units, two supplementary • The steradian (sr) is the solid angle at the
units, and numerous derived units
center of a sphere which subtends an area on surface area
• These units appear on this chart along with the sphere’s surface which is equal to the = 1 r2
their definitions square of its radius; there are 4p sr in a sphere solid angle
1 sr
• Multiples and submultiples are expressed in • The SI system still permits the use
the decimal system of degrees (deg,°), where 1 circle = 360° 1 rad
• SI has only one unit for any physical quantity • The use of minutes and seconds is
and therefore no conversion factors or discouraged; decimal divisions of a degree
constants need to be remembered should be used THE STERADIAN (sr)
LENGTH (m)
• The SI unit of length is the meter (m) • The standard meter is currently defined as the length of 1,650,763.73 wavelengths (in a vacuum)
–7 of radiation corresponding to the unperturbed transition between the energy levels 2p and 5d
• Originally, it was 1 ¥ 10 of the 10 5
longitude passing through Paris from the of the Krypton-86 atom
equator to the North Pole • The wavelength of this orange-red line is 6.057 802 ¥ 10 –7 m
1 decimeter (dm)
1 centimeter (cm)
1dm = 10 cm
1 millimeter (mm)
1cm = 10 mm
1 m = 3.2808 ft = 39.3701 in
100 cm = 1 m 1 dm = 100 mm
1000 mm = 1 m 10 dm = 1 m
1 23 4 5 6 7 8 9101 2 3 4 5 67 8 9 2 1 23 4 5 6 7 8 9301 2 3 4 5 67 8 9 4 1 2 34 5 6 7 8 9501 2 3 4 5 6 78 9 601 2 34 5 6 7 8 9701 2 3 4 5 6 78 9 801 2 3 45 6 7 8 990 12 3 4 5 6 78 9100
METER
1 yard = 3 ft = 0.9144 m
1 foot = 30.48 cm
1 2 34 5 6 7 8 9 0 11 211 3 4 6 1517 119810 21 22 23 24 2 5 6 8 2 729 3 132 33 3 435 36 3
YARD
1 650 763.73 wavelengths
LENGTH (M)
2p to 5d transition* • The most commonly
10 5 used derivatives of the
2 1 m 1 dm 1 cm 1 mm
meter are area (m )
3
and volume (m )
• The diagrams show
how m, m , and m , 3
as well as their
1 meter
multiples and sub-
KRYPTON 86
Long Step Hand Width Smallest Finger
Dime Thickness
multiples, relate to (Nail Width)
(LAMP)
objects in everyday life
A
* Orange-red line of the spectrum of Kr-86
2 2 2 3 1 m 3 1 dm 3 1 cm 3
AREA (M ) 1 m 1 dm VOLUME (M )
1 cm = 0.1655 in 2 3 3
1 cm = 0.061 in
M IK
Trunk of
Desk Top Palm
Station Wagon Quart of Milk
( )
3 3
1 cm 2 1 mm 2 1 cm 1 mm
1 dm 2 = 100 cm = 0.01 m 2 3
3 3
1 dm (liter) = 1000 cm = 0.001 m
Nail on
Thumbtack
Smallest Finger Hole
Baby Spoon Pin Head
1 METRIC SYSTEM • 1-55080-859-1
www.permacharts .com © 1996-2013 Mindsource Technologies Inc. l e a r n • r e f e r e n c e • r e v i e w
permachartsTM
TEMPERATURE (K)
Freezing WaterHuman Body Boiling Water
• The SI unit of thermodynamic temperature is the kelvin (K), which is 0 233.15 273.15 310 373.15
defined as the fraction 1/273.15 of the thermodynamic temperature of the K
triple point of pure water KELVIN
0 -40 0 36.9 100
• Ordinary temperature measurements are made with the Celsius scale, on T C
which the freezing point of pure water is zero degrees Celsius (0ºC) L–273.15 CELSIUS
S -40 32 98.4 212 0
• The degree symbol (º) is always associated with the Celsius scale, but not B–459.67 F
with Kelvin A FAHRENHEIT
MASS (kg) LUMINOUS INTENSITY (cd)
• The SI unit of mass is kilogram (kg) • The candela (cd) 1CANDELA
• It is the only SI base unit that is the SI unit for
incorporates a multiplying prefix 317,515 kg
measuring 2
700,000 lb 10/6 mm
(kilo) luminous
• The kilogram is nearly equal to the intensity INSULATION
–3 3 FREEZING
mass of a liter (10 m ) of pure 1 kg = 2.205 lb 1 lb = 0.4536 kg 1 oz = 28.35 g • It is defined as PLATINUM
water at 4°C the luminous 2045 K
• It is defined in terms of the mass of intensity,
1000 kg 1 kg 1 g 1 mg perpendicular to 100 watt bulb has
the International Prototype a luminous intensity of
Kilogram made of platinum-iridium KLI the surface of2 approximately 135 cd
alloy and stored at Sèvres, France, M 1/600 000 m
in the custody of the International Small Car Large
Carrot
area, of a perfect “black body” at the temperature
QuMilkof Thumbtack Seed of freezing platinum (2045 K) under a pressure of
Bureau of Weights and Measures 2
101 325 newton/m
TIME (s)
PREFIXES
• The second (s)
9 192 631 770 cycles • Multiples of SI units are named by adding a prefix to
is the SI meter, gram, watt, and so on
unit of time • Abbreviations use the appropriate prefix letter (such
• The second is
1 second as, ns for nanosecond, kHz for kilohertz)
defined • For extremely large or small numbers, use
as the time duration yotta (Y) =10 , zetta (Z) =10 , zepto (z) =10 –21,
of 9,192,631,770 –24
periods of the radiation of the transition between and yocto (y) =10
18
the two hyperfine levels of the ground state of the Cesium-133 atom exa E 10 one quintillion
• Despite attempts to use the powers-of-ten multipliers for long periods of peta P 10 15 one quadrillion
time, the minute (min), hour (h), day, week, and year are still
tera T 10 12 one trillion
commonly used and acceptable international time units 9
giga G 10 one billion
mega M 10 6 one million
kilo k 10 3 one thousand
2
hecto h 10 one hundred
QUANTITY OF MATTER (mol) deca da 10 1 ten
• The SI unit of the amount of substance or quantity of 10 0 one
matter is the mole (mol) –1
• It is defined as the amount of a substance of a deci d 10 one tenth
centi c 10 –2 one hundredth
system which contains as many elementary units
as there are carbon atoms in 0.012 kilograms milli m 10 –3 one thousandth
(12 grams) of carbon-12 –6
micro µ 10 one millionth
• The elementary unit or entity must be specified nano n 10 –9 one billionth
and may be an atom, molecule, ion, electron,
a

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