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mol) / [h ft2 m / s mol / ft3)] mol) / [s m2 m / s mol / L)] Electricity, magnetism
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CHAPTER ONE
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TABLE 15a Conversion Factors: US Customary and Commonly Used Units to SI Units
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(Continued ) Customary or commonly used unit Conversion factor*; multiply customary unit by factor to obtain SI unit
Quantity
SI unit
Alternative SI unit
Electricity, magnetism (Continued ) Conductivity S/m /m m /m A / mm2 C / cm2 C A C m V/m C C / cm V mV A m2 V
S/m S/m mS / m A / mm2 C / cm2 C A C m V/m C C / cm V mV A m2 V C Hz
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
Current density Displacement Electric charge Electric current Electric-dipole moment Electric- eld strength Electric ux Electric polarization Electric potential Electromagnetic moment Electromotive force
Flux of displacement C Frequency Impedance Linear-current density Magnetic-dipole moment Magnetic- eld strength Magnetic ux Magnetic- ux density Magnetic induction Magnetic moment Magnetic polarization A / mm Wb m A / mm Oe gamma mWb mT G gamma mT A m2 mT cycles / s
A / mm Wb m A / mm A/m A/m mWb mT T nT mT A m2 mT
1 1 1 7957 747 7957 747 1 1 10* 1 1 1 1 E 04
01 04
ENGINEERING UNITS
TABLE 15a Conversion Factors: US Customary and Commonly Used Units to SI Units
(Continued ) Customary or commonly used unit Conversion factor*; multiply customary unit by factor to obtain SI unit
Quantity
SI unit
Alternative SI unit
Electricity, magnetism (Continued ) Magnetic potential difference Magnetic-vector potential Magnetization Modulus of admittance Modulus of impedance Mutual inductance Permeability Permeance Permittivity Potential difference Quantity of eletricity Reactance Reluctance Resistance Resistivity Self-inductance Surface density of change Susceptance Volume density of charge mH mC / m2 S C / mm3 cm m mH mC / m2 S C / mm3 Acoustics, light, radiation Absorbed dose Acoustical energy Acoustical intensity Acoustical power Sound pressure Illuminance rad J W / cm W N / m2 fc
A Wb / mm A / mm S
A Wb / mm A / mm S
1 1 1 1 1
H H/m H F/m V C
H H/m H F/m V C
1 1 1 1 1 1 1
1 1 cm m 1 1 1 1 1 1
Gy J W/m W N / m2 lx
10* 1 10* 1 10* 1076 391
CHAPTER ONE
TABLE 15a Conversion Factors: US Customary and Commonly Used Units to SI Units
(Continued ) Customary or commonly used unit Conversion factor*; multiply customary unit by factor to obtain SI unit
Quantity
SI unit
Alternative SI unit
Acoustics, light, radiation (Continued ) Illumination Irradiance Light exposure Luminance Luminous ef cacy Luminous exitance Luminous ux Luminous intensity Radiance Radiant energy Radiant ux Radiant intensity Radiant power Wavelength Capture unit fc W/m fc s cd / m2 lm / W lm / m lm cd W / m2 sr J W W / sr W A 10 cm m Radioactivity Ci
1 3 1 2 2
lx W/m lx s cd / m2 lm / W lm / m lm cd W / m2 sr J W W / sr W nm m m Bq
1 2 2
1076 391 1 1076 391 1 1 1 1 1 1 1 1 1 1 10* 10 3cm
01 01
10* 1 1 37*
* An asterisk indicates that the conversion factor is exact Or multiply SI unit by reciprocal value of factor to obtain USCS unit Conversion factors for length, area, and volume are based on the international foot The international foot is longer by 2 parts in 1 million than the US Survey foot (land-measurement use) Source: From Perry, Green, and Maloney1
F 1 lb
ma gc 32174 ft / s2 gc
1 lbf whence gc
32174 lb ft / (lbf s2)
ENGINEERING UNITS
TABLE 15b Unit Symbols Used in Table 15a
Unit symbol A a Bq C cd Ci d C dyn F fc G g gr Gy H h ha Hz J K L, l, l lb lbf
Name ampere annum (year) becquerel coulomb candela curie day degree Celsius degree dyne farad footcandle gauss gram grain gray henry hour hectare hertz Joule kelvin liter pound mass pound force
Unit symbol lm lx m min N naut mi Oe P Pa rad r S s sr St T tonf t V W Wb
Name lumen lux meter mho minute minute newton US nautical mile oersted ohm poise pascal radian revolution siemens second second steradian stokes tesla ton force tonne volt watt weber
Thus, gc is merely a conversion factor and it should not be confused with the gravitational acceleration g The numerical value of gc is a constant depending only on the system of units involved, and not on the value of the gravitational acceleration at a particular location Values of gc corresponding to different systems of units found in engineering literature are given in Table 16
5 Derived SI Units Note that the SI units comprise a rigorously coherent form
of the metric system; ie, all remaining units may be derived from the base units using formulas which do not involve any numerical factors For example, the unit of force is the newton (N) One newton is one kilogram metre per second squared The newton is de ned as the force which, when applied to a mass of one kilogram, m a gives it an acceleration of one metre per second squared Thus, force F where m is the mass in kilograms and a is the acceleration in meters per second squared Gravitational force, or weight, is m g, where g 981 m / s2 The unit of charge is the coulomb (C) where one coulomb is one ampere second 624 1018 electrons) The coulomb is de ned as the quantity of (1 coulomb electricity which ows past a given point in an electric circuit when a current of one ampere is maintained for one second Thus, charge in coulombs Q i t where i is the current in amperes and t is time in seconds Therefore, derived SI units use combinations of basic units and there are many of them Further simple examples are:
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