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SI for HVAC& R
Revised June 1997
This guide conforms to ANSI SI 10-1997, Standard for Use
of the International System of Units (SI): The Modern Metric
System . See ANSI SI 10 for more information and a complete
list of conversion factors with more significant digits.
SI PRACTICE
1 General
1.1 The International System of Units (SI) consists of seven
base units listed in Table 1 and numerous derived units, which
are combinations of base units (Table 2).
ASHRAE METRIC POLICY
The metric unit use or application policy shall include, as a
minimum, time-dated directions on the use of SI and I-P
units in all ASHRAE publications.
Ta b l e 1 S I B a s e U n i ts
Quantity
Name
Symbol
length
metre
m
1. The Technical Committee on terminology, TC 1.6, shall
serve as the authority on SI and I-P usage and application.
2. Research projects, Standards and Guidelines, Special
Publications, Insights articles, Journal articles, and Hand-
books shall be prepared using inch-pound (I-P) units and/
or the International System of Units (SI) in formats
approved by the Publishing Council.
3. The Publishing Council shall review annually the
approved formats to be used in ASHRAE publications—
considering suggestions from members, Technical Com-
mittees/Task Groups/Technical Resource Groups, Stan-
dards Project Committees, Research and Technical
Committee, Journal, Handbook, and other General Com-
mittees, and shall establish any changes in the approved
formats.
4. The Publishing Council shall consider this policy annually
and shall recommend to the Board of Directors the formats
to be used in ASHRAE publications.
a. The format for ASHRAE publications shall be dual
units, except in cases determined by the Publishing
Council, where two separate versions are to be pub-
lished, one rational I-P and the other rational SI. For
selected ASHRAE Standards and Guidelines, the Stan-
dards Committee may approve use of SI units only.
b. In dual unit publications, the units used in calculating
the work being reported shall be listed first. The alter-
nate system of units should follow in parenthesis.
Authors shall round off equivalents in the alternate sys-
tem of units so that they imply the same accuracy as is
implied with primary units.
c. Exceptions require the approval of the Director of
Communications and Publications.
d. All Handbook volumes are published in separate I-P
and SI editions.
mass
kilogram
kg
time
second
s
electric current
ampere
A
thermodynamic temperature
kelvin
K
amount of substance
mole
mol
luminous intensity
candela
cd
2Uns
2.1 In SI each physical quantity has only one unit. The base
and derived units may be modified by prefixes as indicated in
Section 4. All derived units are defined by simple formulas
using the base units. The basic simplicity of the system can
only be kept by adhering to the approved units.
2.2 Angle. The unit of plane angle is the radian. The degree
and its decimal fractions may be used, but the minute and sec-
ond should not be used.
2.3 Area. The unit of area is the square metre. Large areas
are expressed in hectares (ha) or square kilometres (km 2 ). The
hectare is restricted to land or sea areas and equals 10 000 m 2 .
2.4 Energy. The unit of energy, work, and quantity of heat is
the joule (J). The kilowatthour (kWh) is presently permitted as
an alternative in electrical applications, but should not be intro-
duced in new applications.
1 kilowatthour (kWh) = 3.6 megajoules (MJ)
The unit of power and heat flow rate is the watt (W).
1 watt (W) = 1 joule per second (J/s)
2.5 Force. The unit of force is the newton (N). The newton is
also used in derived units which include force.
Examples :
pressure or stress = N/m 2 = Pa (pascal)
work = N· m = J (joule)
power = N· m/s = W (watt)
Copyright © 1997 by the American Society of Heating, Refrigerating and Air-Conditioning Engineers, Inc. All rights reserved.
ASHRAE® has compiled this publication with care, but ASHRAE has not investigated, and ASHRAE expressly disclaims any duty to investigate, any product, service, process,
procedure, design, or the like that may be described herein. The appearance of any technical data or editorial material in this publication does not constitute endorsement, warranty,
or guaranty by ASHRAE of any product, service, process, procedure, design, or the like. ASHRAE does not warrant that the information in this publication is free of errors. The
entire risk of the use of any information in this publication is assumed by the user.
165863636.032.png
2
SI for HVAC&R
Table 2 Some SI Derived Units
2.8 Pressure. The unit of stress or pressure, force per unit
area, is the newton per square metre. This unit is called the
pascal (Pa). SI has no equivalent symbol for psig or psia. If a
misinterpretation is likely, spell out Pa (absolute) or Pa
(gage).
2.9 Vo lu me . The unit of volume is the cubic metre. Smaller
units are the litre, L (m 3 /1000); millilitre, mL; and microlitre,
m
Quantity
Expression in
Other SI Units Name
Symbol
acceleration
angular
rad/s 2
linear
m/s 2
angle
plane
dimensionless
radian
rad
solid
dimensionless
steradian
sr
is used with litre.
2.10 Temperature. The unit of thermodynamic (absolute)
temperature is the Kelvin. Celsius temperature is measured in
degrees Celsius. Temperature intervals may be measured in
kelvins or degrees Celsius and are the same in either scale.
Thermodynamic temperature is related to Celsius temperature
as follows:
m
area
m 2
Celsius temperature
K
degree Celsius
°C
conductivity, thermal
W/(m · K)
density
heat flux
W/m 2
mass
kg/m 3
energy, enthalpy
work, heat
N· m
joule
J
specific
J/kg
t c = T
-
T 0
entropy
heat capacity
J/K
where
specific
J/(kg · K)
t c = Celsius temperature, °C
T = thermodynamic temperature, kelvins (K)
T 0 = 273.15 K by definition
2.11 Time. The unit of time is the second, which should be
used in technical calculations. However, where time relates to
life customs or calendar cycles, the minute, hour, day, and
other calendar units may be necessary.
flow, mass
kg/s
flow, volume
m 3 /s
force
kg ·m/s 2
newton
N
frequency
periodic
1/s
hertz
Hz
rotating
rev/s
inductance
Wb/A
henry
H
magnetic flux
V · s
weber
moment of a force
N·m
potential, electric
W/A
volt
V
Exception :
Revolutions per minute may be used, but
revolutions per second is preferred.
power, radiant flux
J/s
watt
W
pressure, stress
N/m 2
pascal
Pa
resistance, electric
V/a
ohm
W
3Symbo s
velocity
angular
rad/s
3.1 The correct use of symbols is important because an incor-
rect symbol may change the meaning of a quantity. Some SI
symbols are listed in Table 3.
3.2 SI has no abbreviations—only symbols. Therefore, no
periods follow a symbol except at the end of a sentence.
linear
m/s
viscosity
dynamic (absolute)(m) Pa ·s
kinematic (n)
m 2 /s
volume
m 3
volume, specific
m 3 /kg
2.6 Length. The unit of length is the metre. The millimetre
is used on architectural or construction drawings and
mechanical or shop drawings. The symbol mm does not need
to be placed after each dimension; a note, “All dimensions in
mm” is sufficient.
The centimetre is used only for cloth, clothing sizes, and
anatomical measurements.
The metre is used for topographical and plot plans. It is
always written with a decimal and three figures following the
decimal, i.e., 38.560.
2.7 Mass. The unit of mass is the kilogram (kg). The unit of
mass is the only unit whose name, for historical reasons, con-
tains a prefix. Names of multiples of the unit mass are formed
by attaching prefixes to the word gram. The megagram, Mg,
(1000 kg, metric ton or tonne, t) is the appropriate unit for
describing large masses. Do not use the term weight when mass
is intended.
Examples : I, not S.I.; s, not sec; A, not amp
3.3 Symbols appear in lower case unless the unit name has
been taken from a proper name. In this case the first letter of the
symbol is capitalized.
Examples : m, metre; W, watt; Pa, pascal
Exception : L, litre
3.4 Symbols and prefixes are printed in upright (roman) type
regardless of the type style in surrounding text.
Example : . . . a distance of 56 km between . . .
3.5 Unit symbols are the same whether singular or plural.
Examples : 1 kg, 14 kg; 1 mm, 25 mm
3.6 Leave a space between the value and the symbol.
Examples :
55 mm, not 55mm; 100 W, not 100W
L. No prefix other than m or
165863636.033.png
Revised June 1997
3
Table 3 SI Symbols
Symbol Name
3.8 Symbol for product—use the raised dot (·)
Quantity
Formula
Examples : · ; a · s; W/( 2 ·K)
3.9 Symbol for quotient—use one of the following forms:
A
ampere
electric current
base unit
a
atto
prefix
10 - 18
Bq
becquerel
activity (of a radio nuclide) 1/s
m
s
Examples :
m/s or or use negative exponent
----
C
coulomb
quantity of electricity
A·s
°C
degree Celsius
temperature
°C = K
Note: Use only one solidus ( / ) per expression.
3.10 Place modifying terms such as electrical, alternating
current, etc. parenthetically after the symbol with a space in
between.
c
centi
prefix
10 - 2
cd
candela
luminous intensity
base unit
d
deci
prefix
10 - 1
da
deka
prefix
10 1
E
exa
prefix
10 18
F
farad
electric capacitance
C/V
Examples :
MW (e); not MWe; not MW(e)
V (ac); not Vac; not V(ac)
kPa (gage); not kPa(gage); not KPa gage
f
femto
prefix
10 - 15
G
giga
prefix
10 9
Gy
gray
absorbed dose
J/kg
g
gram
mass
kg/1000
H
henry
inductance
Wb/A
4 Prefixes
4.1 Most prefixes indicate orders of magnitude in steps of
1000. Prefixes provide a convenient way to express large and
small numbers and to eliminate nonsignificant digits and
leading zeros in decimal fractions. Some prefixes are listed in
Table 4.
Hz
hertz
frequency
1/s
h
hecto
prefix
10 2
ha
hectare
area
10 000 m 2
J
joule
energy, work, heat
N· m
K
kelvin
temperature
base unit
k
kilo
prefix
10 3
kg
kilogram
mass
base unit
L
litre
volume
m 3 /1000
lm
lumen
luminous flux
cd · sr
Examples : 126 000 watts is the same as 126 kilowatts
0.045 metre is the same as 45 millimetres
65 000 metres is the same as 65 kilometres
4.2 To realize the full benefit of the prefixes when expressing
a quantity by numerical value, choose a prefix so that the num-
ber lies between 0.1 and 1000. For simplicity, give preference
to prefixes representing 1000 raised to an integral power (i.e.,
m
lx
lux
illuminance
lm/m 2
M
mega
prefix
10 6
m
metre
length
base unit
m
milli
prefix
10 - 3
mol
mole
amount of substance
base unit
m
micro
prefix
10 - 6
N
newton
force
kg·m/s 2
n
nano
prefix
10 - 9
W
ohm
electric resistance
V/A
m, mm, km).
P
peta
prefix
10 15
Pa
pascal
pressure, stress
N/m 2
Exceptions :
1. In expressing area and volume, the prefixes hecto, deka,
deci, and centi are sometimes used; for example, cubic
decimetre (L), square hectometre (hectare), cubic centi-
metre.
2. Tables of values of the same quantity.
3. Comparison of values.
p
pico
prefix
10 - 12
rad
radian
plane angle
dimensionless
S
siemens
electric conductance
A/V
Sv
sievert
dose equivalent
J/kg
s
second
time
base unit
sr
steradian
solid angle
dimensionless
T
tera
prefix
10 12
T
tesla
magnetic flux density
Wb/m 2
t
tonne, metric ton
mass
1000 kg; Mg
V
volt
electric potential
W/A
Table 4 SI Prefixes
Prefix Pronunciation
W
watt
power, radiant flux
J/s
Wb
weber
magnetic flux
V· s
Symbol Represents
Exception :
No space is left between the numerical value
and symbol for degree Celsius and degree of
plane angle.
exa
ex‡a (a as in about)
E
10 18
peta
pet‡a (e as in pet, a as in about)
P
10 15
tera
as in terra firma
T
10 12
giga
jig‡ (i as in jig, a as in about)
G
10 9
Note: Symbol for degree Celsius is °C; for coulomb, C.
mega
as in mega phone
M
10 6
kilo
kill‡oh
k
10 3
= 1000
Examples : 20°C, not 20 °C or 20° C; 45°, not 45 °
3.7 Do not mix symbols and names in the same expression.
hecto
heck‡ toe
h*
10 2
= 100
deka
deck‡a (a as in about)
da*
10 1
= 10
deci
as in deci mal
d*
10 - 1
= 0.1
Examples :
m/s or metres per second,
not metres/second; not metres/s
centi
as in centi pede
c*
10 - 2
= 0.01
milli
as in mili tary
m
10 - 3
= 0.001
micro
as in micro phone
m
10 - 6
J/kg or joules per kilogram,
not joules/kilogram; not joules/kg
nano
nan‡oh (an as in ant)
n
10 - 9
pico
peek‡oh
p
10 - 12
*See paragraph 4.2 regarding use of this prefix.
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4
SI for HVAC&R
4. For certain quantities in particular applications. For exam-
ple, the millimetre is used for linear dimensions in engi-
neering drawings even when the values lie far outside the
range of 0.1 mm to 1000 mm; the centimetre is usually
used for body measurements and clothing sizes.
4.3 Compound units. A compound unit is a derived unit
expressed with two or more units. The prefix is attached to a
unit in the numerator.
Examples : /m not mV/mm
mN·m not N·mm (torque)
MJ/kg not kJ/g
4.4 Compound prefixes formed by a combination of two or
more prefixes are not used. Use only one prefix.
Examples :
2 m not 2 m
m
6.2 Treat all spelled out names as nouns. Therefore, do not
capitalize the first letter of a unit except at the beginning of a
sentence or in capitalized material such as a title.
Examples : watt; pascal; ampere; volt; newton; kelvin
Exception : Always capitalize the first letter of Celsius.
6.3 Do not begin a sentence with a unit symbol—either rear-
range the words or write the unit name in full.
6.4 Use plurals for spelled out words when required by the
rules of grammar.
Examples : metre — metres; henry — henries;
kilogram — kilograms; kelvin — kelvins
Irregular : hertz — hertz; lux — lux;
siemens — siemens
6.5 Do not put a space or hyphen between the prefix and unit
name.
Examples : kilometre not kilo metre or kilo-metre;
milliwatt not milli watt or milli-watt
6.6 When a prefix ends with a vowel and the unit name
begins with a vowel, retain and pronounce both vowels.
Example : kiloampere
Exceptions : hectare; kilohm; megohm
6.7 When compound units are formed by multiplication,
leave a space between units that are multiplied.
Examples : newton metre, not newton-metre;
volt ampere, not volt-ampere
6.8 Use the modifier squared or cubed after the unit name.
6 m 3 not 6 kL
6 MPa not 6 kkPa
4.5 Exponential Powers. An exponent attached to a symbol
containing a prefix indicates that the multiple (of the unit with its
prefix) is raised to the power of 10 expressed by the exponent.
Examples :
1 3 = (10 - 3 m) 3 = 10 - 9 m 3
1 ns - 1 = (10 - 9 s) - 1 = 10 9 s - 1
1 mm 2 /s = (10 - 3 m) 2 /s = 10 - 6 m 2 /s
5 Numbers
5.1 Large Numbers. International practice separates the
digits of large numbers into groups of three, counting from the
decimal to the left and to the right, and inserts a space to sepa-
rate the groups. In numbers of four digits, the space is not nec-
essary except for uniformity in tables.
Examples : 2.345 678; 73 846; 635 041; 600.000;
0.113 501; 7 258
5.2 Small Numbers. When writing numbers less than one,
always put a zero before the decimal marker.
Example : 0.046
5.3 Decimal Marker. The recommended decimal marker is
a dot on the line (period). (In some countries, a comma is used
as the decimal marker.)
5.4 Billion. Because billion means a thousand million in the
United States and a million million in most other countries,
avoid using the term in technical writing.
5.5 Roman Numerals. Do not use M to indicate thousands
(MBtu for a thousand Btu), nor MM to indicate millions, nor C
to indicate hundreds because they conflict with SI prefixes.
Example : metre per second squared
Exception : For area or volume place the modifier before
the units. Example : square millimetre; cubic
metre
6.9 When compound units are formed by division, use the
word per , not a solidus ( / ).
Examples :
metre per second, not metre/second;
watt per square metre, not watt/square metre
TEMPERATURE CONVERSION
(exact)
t C = ( t F -
32)/1.8
t F = 1.8 t C + 32
t C = T
-
273.15
t F = T R
-
459.67
T = T R /1.8
T R = 1.8 T
T = t C + 273.15
T R = t F + 459.67
6Words
6.1 The units in the international system of units are called SI
units—not Metric Units and not SI Metric Units.
(Inch-Pound units are called I-P units—not conventional
units, not U.S. customary units, not English units, and not
Imperial units.)
where
t C = Celsius temperature, °C
T = thermodynamic (absolute) temperature, kelvins (K)
t F = Fahrenheit temperature, °F
T R = thermodynamic (absolute) temperature, degrees
Rankine (°R)
and °C = K = 1.8°F °F = °R = °C/1.8
m
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