Appendix B

Units and Conversion Factors

Introduction

This book has been prepared using the international systems of units (SI) that has been or is being adopted by all nations of the world. In SI practice, the approved units for energy and power are the joule and the watt:

Energy, heat, work: joule (J)=1 newton meter=1 watt second.

Power: watt (W)=1 joule per second=1 newton meter per second.

When SI units are used for calculations, they are frequently preceded by a prefix that is a multiple of 10. Then the same basic unit can be used to measure a very large or a very small quantity. Thus, a millimeter is slightly more than 1/16 of an inch, while a kilometer is slightly more than ½ mile. The prefixes, symbols, and multipliers are:

tera (T) 1012

giga (G) 109

mega (M) 106

kilo (k) 103

hecto (h) 102

deca (D) 10

deci (d) 10−1

centi (c) 10−2

milli (m) 10−3

micro (μ) 10−6

nano (n) 10−9

pico (p) 10−12.

The SI system of units has several important advantages: (i) it is universal, with a single unit for each quantity (e.g., m for length); (ii) it uses decimal arithmetic, facilitating changes, calculations, and conversions; and (iii) it is coherent, meaning that when two units are multiplied or divided, the product or quotient has the units of the resultant quantity (e.g., m and ha are coherent while ft and acre are not).

The common units of the SI system are the kilogram (mass), the meter (length), the second (time), the newton (force), the watt (power), and the joule (energy). Table B-1 lists common conversion factors for energy and power. Table B-2 includes other useful SI conversion factors.

Table B-1

Conversion factors for energy and power

Energy, heat, work
Multiply By To obtain
Btu 2.931×10−4 kWh
Btu (mean) 1.055×103 J
cal 4.190 J
kcal 4.190×103 J
ft·lbf 1.356 J
N·m 1.000 J
kgf·m (kilopond·m) 9.807 J
erg (1 dyne·cm) 1.000×10−7 J
electron volt 1.602×10−19 J
kWh 3.6×106 J
therm (105 Btu) 1.055×108 J
Btu/lbm 2.323×10−3 MJ/kg
Btu/short ton 1.162×10−6 MJ/kg
Btu/gal (US) 2.79×10−4 GJ/m3
Btu/ft3 3.72×10−5 GJ/m3
Power
Multiply By To obtain
Btu/s 1.055×103 W
Btu/min 17.58 W
Btu/h 0.2931 W
cal/s 4.184 W
ft·lbf/s 1.356 W
ft·lbf/s 1.818×10−3 hp
ft·lbf/min 2.260×10−2 W
hp 7.46×102 W
kgf·m/s 9.807 W
erg/s 1.000×10−7 W

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Table B-2

Other SI conversion factors

Multiply By To get
Length
in 2.54 cm
ft 12 in
ft 0.305 m
km 0.621 Statute miles
m 3.281 ft
m 39.37 in
mile 1.609 km
mile 5280 ft
mile 1609 m
yard 0.9144 m
Area
in2 6.452 cm2
ft2 0.0929 m2
acre 0.4047 ha
m2 1.0×10−4 ha
Volume
ft3 0.0283 m3
gal (US liquid) 3.785 liter
gal (US liquid) 3.785×10−3 m3
gal (UK liquid) 4.546 liter
gal (UK liquid) 4.546×10−3 m3
barrel (42 US gal) 0.159 m3
m3 1.0×103 liter
Pressure and force
lb/in2 (psi) 0.06895 bar
psi 6.895×103 Pa
lb/ft2 47.9 Pa
lb (force) 4.448 N
N/m2 1.000 Pa
Mass and density
ounce (avoirdupois) 28.35 g
lb (avoirdupois) 0.4536 kg
mt 2205 lbs
short ton (2000 lbs) 0.9072 mt
long ton (2240 lbs) 1.016 mt
kg 1.0×10−3 mt
g/cm3 1.0 mt/m3
lb/ft3 16.02 kg/m3
lb/in3 27.68 g/cm3
Speed
mph 0.447 m/s
km/h 0.6214 mph
Thermal conductivity
Btu/h·ft·°F 1.73 W/m·K
Light
illumination (fc) 10.76 lx
illumination (lx) 0.0929 fc
luminance (fl) 3.43 cd/m2
luminance (cd/m2) 0.292 fl
luminous flux (lm) 0.001496 light watt
lumen·h 5.386 J

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