Weights and Measures



This web page attempts to do something many other web sites fail to do and that
is to be precise. By that, I mean I give you a rational fraction definition of
a conversion factor rather than a rounded decimal fraction. For example, the US
survey foot is normally given as 304.8006 mm when it is actually 12*1000/39.37
mm =~ 304.80060,96012,19202,43840,48768,09753,61950,72390,14478.. etc. mm.

If you wish to convert one unit of measure to another, multiply by one factor
and divide by the other. For example, to convert bolt of cloth to cubits,

      bolt of cloth = 36.576 m
      cubit         = 457.2 mm

multiply by 36.576 m and divide by 457.2 mm. So, one bolt of cloth =
(1000*36.576)/ 457.2 = 80 cubits.

The current standard metric system is the International System of Units or SI.
It is based on the meter, kilogram, second, Kelvin, Ampere, candela, and mole.
The seven SI base units are for length, mass, time, temperature, electric
current, luminous intensity and amount of substance. SI also has derived units
defined in terms of the seven base units. All other quantities like work, force,
and power are defined in terms of SI derived units.

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Units of Length (SI meter m)
One               Definition      Equivalent to           SI units
----------------- --------------- --------------------- = ----------------------
angstrom          10^-10 m        1/10^10               =    1.0e-10 m
angstrom          10^-10 m        1/10                  =    0.1 nm
astronomical unit A    2997,92458.0 * 499.00478,63852   =~  14,95978,71464.184 m
bolt of cloth     120 ft          25.4*12*120/1000      =   36.576 m
cable length USN  120 fathoms     25.4*12*720/1000      =  219.456 m
caliber cal       1/100 in        25.4/100              =    0.254 mm
centimeter cm     10^-2 m         10                    =   10.0 mm
chain Gunter's    4 rods = 66 ft  25.4*12*66/1000       =   20.1168 m
chain Ramden's    100 ft          25.4*12/10            =   30.48 m
cubit             18 in           25.4*18               =  457.2 mm
decimeter dm      10^-1 m         100                   =  100.0 mm
dekameter dam     10 m            10                    =   10.0 m
ell               45 in           25.4*45/1000          =    1.143 m
fathom            6 ft            25.4*12*6/1000        =    1.8288 m
foot ft           12 in           25.4*12               =  304.8 mm
foot US survey    12 in USs       12*1000/39.37         =~ 304.80060,96012,19 mm
furlong furl      40 rods=660 ft  25.4*12*660/1000      =  201.168 m
gigameter Gm      10^9 m          10^9                  =    1.0e9 m
hand              4 in            25.4*4                =  101.6 mm
hectometer        100 meters      100                   =  100.0 m
inch in           25.4 mm         25.4                  =   25.4 mm
inch Eng old                      914.3992/36           =   25.3999777... mm
inch US old       1000/39.37 mm   1000/39.37            =~  25.40005,08001,02 mm
inch US survey    1000/39.37 mm   1000/39.37            =~  25.40005,08001,02 mm
kilometer km      1000 m          1000                  = 1000.0 m
league naut Brit  18240 ft        25.4*12*18240/10^6    =    5.55955,2 km
league naut Int   5556 m          5556/1000             =    5.556 km
league statute    3 statute miles 25.4*12*3*5280/10^6   =    4.82803,2 km
light year ly     315,56925.9747*2997,92458         = 9,46052,84048,79358.8126 m
ligne Paris       2.2558291 mm    2.2558291             =    2.25582,91 mm
line button       1/40 in         25.4/40               =    0.635 mm
line Brit         1/12 in         25.4/12               =    2.11666... mm
link Gunter's     1/100 chain G   25.4*12*66/100        =  201.168 mm
link Ramden's     1/100 chain R   25.4*12               =  304.8 mm
meter m           See meter:      1                     =    1.0 m
micrometer um     10^-6 m         1                     =    1.0 um
micron            10^-6 m         1                     =    1.0 um
mil               10^-3 in        25.4                  =   25.4 um
mile naut Brit    6080 ft         25.4*12*6080/10^6     =    1.85318,4 km
mile naut Int     1852 m          1.852                 =    1.852 km
mile statute mi   8 furl=5280 ft  25.4*12*5280/10^6     =    1.60934,4 km
millimeter mm     10^-3 m         1                     =    1.0 mm
millimicron       10^-9 m = 1 nm  1                     =    1.0 nm
nanometer nm      10^-9 m         1                     =    1.0 nm
pace US           2.5 ft = 30 in  25.4*30               =  762.0 mm
palm              3 in            25.4*3                =   76.2 mm
parsec            distance of parallax of 1 arc second  =~  30.85677,59725e15 m
perch = rod       16.5 ft         25.4*198/1000         =    5.0292 m
pica printer      12 points pr    25.4*0.166044         =    4.21751,76 mm
pica computer     12 points comp  25.4/6                =    4.2333... mm
point printer     0.013837 in     25.4*0.013837         =    0.35145,98 mm
point computer    1/72 in         25.4/72               =    0.35277,7... mm
pole = rod        16.5 ft         25.4*198/1000         =    5.0292 m
rod               16.5 ft         25.4*198/1000         =    5.0292 m
rope Brit         20 ft           25.4*12*20/1000       =    6.096 m
size watch US 1   36/30 in        25.4*36/30            =   30.48 mm
size watch US d   1/30 in         25.4/30               =    0.84666... mm
skein US          360 ft          25.4*12*360/1000      =  109.728 m
span              9 in            25.4*9                =  228.6 mm
yard              3 ft            25.4*3*12             =  914.4 mm
yard Eng old                      914.3992              =  914.3992 mm
yard US old                       1000*36/39.37         =~ 914.40182,88036,58 mm

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Units of Area (SI Sq. meter m^2)
One               Definition      Equivalent to           SI units
----------------- --------------- --------------------- = ----------------------
acre Int          43560 sq ft     43560*(0.0254*12)^2   = 4046.85642,24 m^2
acre US survey    43560 sq ft USs 43560*(12/39.37)^2    =~4046.87260,98742,5 m^2
are               (10 meters)^2   100                   =  100.0 m^2
barn              10^-24 sq cm    10^-28                =    1.0e-28 m^2
centare           1 m^2           1                     =    1.0 m^2
circular inch     circular inch:  pi*(25.4)^2 / 4       =~ 506.70747,90975 mm^2
circular mil      circular mil:   pi (25.4)^2 / 4       =~ 506.70747,90975 um^2
circular mm       circular mm:    pi / 4                =~   0.78539,81634 mm^2
hectare           (100 meters)^2  10000                 =10000.0 m^2
rood Brit         40 square rods  40*(25.4*198/1000)^2  = 1011.71410,56 m^2
sq chain G        (chain G)^2     (25.4*12*66/1000)^2   =  404.68564,224 m^2
sq chain R        (chain R)^2     (25.4*12/10)^2        =  929.0304 m^2
sq cm             (10 mm)^2       100                   =  100.0 mm^2
sq decimeter      decimeter^2     100^2                 =10000.0 mm^2
sq dekameter      dekameter^2     10^2                  =  100.0 m^2 
sq ft             ft^2            (0.0254*12)^2         =    0.09290,304 m^2
sq ft US survey   (ft USs)^2      (12*1000/39.37)^2     =~   0.09290,34116,1 m^2
sq hectometer     hectometer^2    100^2                 =10000.0 m^2
sq in             in^2            25.4^2                =  645.16 mm^2
sq km             (1000 m)^2      1                     =    1.0 km^2
sq links G        (links G)^2     (25.4*12*66/100)^2    =40468.56422,4 mm^2
sq links R        (links R)^2     (25.4*12)^2           =92903.04 mm^2
sq meter          meter^2         1                     =    1.0 m^2
sq mil            mil^2           25.4^2                =  645.16 um^2
sq mile           mile^2          (25.4*12*5280/10^6)^2 = 2.58998,81103,36 km^2
sq millimeter     millimeter^2    1                     =    1.0 mm^2
sq rod            rod^2           (25.4*198/1000)^2     =   25.29285,264 m^2
sq yard           yard^2          (25.4*3*12/1000)^2    =    0.83612,736 m^2
township US       (6 miles)^2   (6*25.4*12*5280/10^6)^2 = 93.23957,19720,96 km^2

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Units of Volume (SI cu meter m^3)
One               Definition      Equivalent to           SI units
----------------- --------------- --------------------- = ----------------------
acre-foot         43560 cu ft     43560*(0.0254*12)^3   = 1233.48183,75475,2 m^3
acre-foot survey  43560 cu ft USs 43560*(12/39.37)^3    =~1233.48923,84681,5 m^3
acre-inch         43560/12 cu ft  43560*(0.0254*12)^3/12=  102.79015,31289,6 m^3
acre-inch survey  3630 cu ft USs  3630*(12/39.37)^3     =~ 102.79076,98723,5 m^3
bag Brit liq      24 gallons      24*4.54609/1000       = 0.10910,616 m^3
barrel Brit liq   36 gallons      36*4.54609/1000       = 0.16365,924 m^3
barrel US dry     7056 cu in      7056*0.0254^3         = 0.11562,71235,84 m^3
barrel US liq     31.5 gal US liq 31.5*231*0.0254^3     = 0.11924,04711,96 m^3
barrel US petro   42 gal US liq   42*231*0.0254^3       = 0.15898,72949,28 m^3
board foot        144 cu in       144*2.54^3            = 2359.73721,6 cc
bucket Brit liq   4 gal Imp liq   4*4.54609/1000        = 0.01818,436 m^3
bushel Brit liq   8 gal Imp liq   8*4.54609/1000        = 0.03636,872 m^3
bushel US ah      2747.715 cu in  2747.715*0.0254^3     = 0.04502,69815,5876 m^3
bushel US dry     2150.42 cu in   2150.42*0.0254^3      = 0.03523,90701,6688 m^3
bushel US heaped  2688.025 cu in  2688.025*0.0254^3     = 0.04404,88377,086 m^3
butt Brit wine    126 gal US liq  126*231*0.0254^3      = 0.47696,18847,84 m^3
centiliter        1/100 L         10                    = 10.0 cc
cord              128 cu ft       128*(0.0254*12)^3     = 3.62455,63637,76 m^3
cord foot         16 cu ft        16*(0.0254*12)^3      = 0.45306,95454,72 m^3
cu cm = cc = cm^3 (m/100)^3       1/1000000             = 0.00000,1 m^3
cu decimeter      (m/10)^3        1000                  = 1000.0 cc
cu dekameter      (10 m)^3        1000                  = 1000.0 m^3
cu foot           (1 foot)^3      (0.0254*12)^3         = 0.02831,68465,92 m^3
cu in             (1 inch)^3      2.54^3                = 16.38706,4 cc
cu meter          (1 meter)^3     1                     = 1.0 m^3
cu mm = mm^3      (m/1000)^3      1/10^3                = 0.001 cc
cu yard           (1 yard)^3      (0.0254*36)^3         = 0.76455,48579,84 m^3
cup               8 ounces USl    231*2.54^3/16         = 236.58823,65 cc
decistere         m^3 / 10        1/10                  = 0.1 m^3
dekaliter         10 L            1/100                 = 0.01 m^3
drachm Brit liq   gal Bl/8/160    1000*4.54609/8/160    = 3.55163,28125 cc
dram Brit liq     1/8 ounce Bl    1000*4.54609/8/160    = 3.55163,28125 cc
dram US liq       1/8 oz          231*2.54^3/1024       = 3.69669,11953,125 cc
firkin Brit liq   1/4 barrel Bl   9*4.54609/1000        = 0.04091,481 m^3
firkin US liq     1/4 barrel USl  31.5*231*0.0254^3/4   = 0.02981,01177,99 m^3
gallon Imp liq    4.54609 L       1000*4.54609          = 4546.09 cc
gallon US dry     1/8 bushel      2150.42*2.54^3/8      = 4404.88377,086 cc
gallon US liq     231 cu in       231*2.54^3            = 3785.41178,4 cc
gill Brit liq     5 ounces Bl     1000*4.54609/32       =  142.06531,25 cc
gill US liq       4 ounces USl    231*2.54^3/32         =  118.29411,825 cc
hectoliter        100 L           1/10                  = 0.1 m^3
hogshead old Eng  63 gal US liq   63*231*0.0254^3       = 0.23848,09423,92 m^3
hogshead Bl       52.5 gal Bl     52.5*1000*4.54609     = 0.23866,9725 m^3
kilderkin Brit    1/2 barrel Bl   18*4.54609/1000       = 0.08182,962 m^3
kiloliter         1000 L          1                     = 1.0 m^3
last Brit         80 bushels Bl   640*4.54609/1000      = 2.90949,76 m^3
liter L           cu decimeter    1000                  = 1000.0 cc
milliliter mL     liter / 1000    1                     =    1.0 cc
minim Brit        1/60 dram Bl    1000*4.54609/76800    =~0.059193,88020,8333 cc
minim US          1/60 dram USl   231*2.54^3/61440      = 0.06161,15199,21875 cc
noggin Brit       1/4 pint Bl     1000*4.54609/32       =  142.06531,25 cc
ounce Brit liq    gal Bl/160      1000*4.54609/160      =   28.41306,25 cc
ounce US liq oz   gal US liq/128  231*2.54^3/128        =   29.57352,95625 cc
peck Brit         2 gal Brit liq  2*1000*4.54609        = 9092.18 cc
peck US           bushel US dry/4  2150.42*2.54^3/4     = 8809.76754,172 cc
perch masonry     24.75 cu ft     24.75*(12*0.0254)^3   = 0.70084,19531,52 m^3
pint Brit liq     1/8 gal Bl      1000*4.54609/8        =  568.26125 cc
pint US dry       bushel US dry/64  2150.42*2.54^3/64   =  550.61047,13575 cc
pint US liq       1/8 gal US liq  231*2.54^3/8          =  473.17647,3 cc
pottle Brit liq   1/2 gal Bl      1000*4.54609/2        = 2273.045 cc 
puncheon Brit     70 gal Imp liq  70*4.54609/1000       = 0.31822,63 m^3
puncheon US       84 gal US liq   84*231*0.0254^3       = 0.31797,45898,56 m^3
quart Brit        1/4 gal Bl      1000*4.54609/4        = 1136.5225 cc
quart US dry      2 pints US dry  2150.42*2.54^3/32     = 1101.22094,2715 cc
quart US liq      32 oz US liq    231*2.54^3/4          =  946.35294,6 cc
quartern Bd       1/4 peck Brit   1000*4.54609/2        = 2273.045 cc
quartern Bl       1/4 pint Bl     1000*4.54609/32       =  142.06531,25 cc
quartern USl      1/4 pint USl    231*2.54^3/32         =  118.29411,825 cc
register ton      100 cu ft       100*(12*0.0254)^3     =    2.83168,46592 m^3
scruple Brit liq  20 minims Brit  1000*4.54609/3840     =~ 1.18387,76041,6667 cc
seam Brit         8 bushels Bl    64*4.54609/1000       =  0.29094,976 m^3
stere             1 cu meter      1                     =  1.0 m^3
tablespoon US     1/2 oz          231*2.54^3/256        = 14.78676,47812,5 cc
tablespoon metric 15 ml           15                    = 15.0 cc
teaspoon US       1/3 tablespoon  231*2.54^3/256/3      =  4.92892,15937,5 cc
teaspoon metric   5 ml            5                     =  5.0 cc
tun               252 gal US liq  252*231*0.0254^3      =  0.95392,37695,68 m^3

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Units of Mass (SI kilogram kg)
One               Definition      Equivalent to           SI units
----------------- --------------- --------------------- = ----------------------
carat (metric)    2/10 g          2/10                  =    0.2 g
carat 1877 (old)  3.168 grains    3.168*453.59237/7000  =    0.20528,29468,8 g
cental            100 lb          100*453.59237/1000    =   45.35923,7 kg
centigram cg      1/100 g         1/100                 =    0.01 g
centner           100 kg          100                   =  100.0 kg
dalton Da         see dalton:     1/NA                  =~   1.660538728e-24 g
dram avdp         1/256 lb        453.59237/256         =    1.77184,51953,125 g
dram troy         60 grains       60*453.59237/7000     =    3.88793,46 g
grain             1/7000 lb       453.59237/7000        =    0.06479,891 g
gram              1/1000 kg       1.0                   =    1.0 g
gramma            1 microgram     1/1000000             =    0.00000,1 g
hectograms        100 g           100                   =  100.0 g
hundredwgt long   112 lb          112*453.59237/1000    =   50.80234,544 kg
hundredwgt short  100 lb          100*453.59237/1000    =   45.35923,7 kg
kilogram kg       mass of international prototype of kg = 1000.0 g
microgram ug      10^-6 g         1/1000000             =    0.00000,1 g
milligram mg      10^-3 g         1/1000                =    0.001 g
myriagram         one ten thousandth of a centner       =   10.0 g
ounce avdp        1/16 lb         453.59237/16          =   28.34952,3125 g
ounce troy        20 dwt          480*453.59237/7000    =   31.10347,68 g
pennyweight dwt   24 grains       24*453.59237/7000     =    1.55517,384 g
pound avdp lb     453.59237 g     453.59237             =  453.59237 g
pound troy        12 troy oz.     5760*453.59237/7000   =  373.24172,16 g
quarter Brit      28 lb           28*453.59237/1000     =   12.70058,636 kg
quarter US long   560 lb          560*453.59237/1000    =  254.01172,72 kg
quarter US short  500 lb          500*453.59237/1000    =  226.79618,5 kg
quintal metric    100 kilograms   100                   =  100.0 kg
scruple apoth     20 grains       20*453.59237/7000     =    1.29597,82 g
stone Brit        14 lb           14*453.59237/1000     =    6.35029,318 kg
ton long          2240 lb         2240*453.59237/1000   = 1016.04690,88 kg
ton metric mt     10^6 g          1000                  = 1000.0 kg
ton US            2000 lb         2000*453.59237/1000   =  907.18474 kg

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Units of time (SI second)
One               Definition      Equivalent to           SI units
----------------- --------------- --------------------- = ----------------------
day               24 hours        60*60*24              =  86400.0 s
hour              60 minutes      60*60                 =   3600.0 s
mean solar day    =~ 86400 sec    86400                 =~ 86400.0 s
minute            60 seconds      60                    = 60 s
month 28 days     28 days         28*86400              = 24,19200.0 s
month 29 days     29 days         29*86400              = 25,05600.0 s
month 30 days     30 days         30*86400              = 25,92000.0 s
month 31 days     31 days         31*86400              = 26,78400.0 s
month ave         365.2425/12 d   30.43687,5*86400      = 26,29746.0 s
second       see second of time:  1                     = 1 s
tropical year J1900.0             365.24219,87812,5 days= 315,56925.9747 s
tropical year J2000.0             365.24218,967 days    = 315,56925.18748,8 s
week              7 days          7*86400               = 6,04800.0 s
year Julian       365.25 days     365.25*86400          = 315,57600.0 s
year Gregorian    365.2425 days   365.2425*86400        = 315,56952.0 s
year leap         366 days        366*86400             = 316,22400.0 s
year normal       365 days        365*86400             = 315,36000.0 s
Light-time of A   tau_A           499.0047863852        = 499.0047863852 s

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Units of temperature measurement (SI degrees Kelvin K)
One               Definition      Equivalent to           SI units
----------------- --------------- --------------------- = ----------------------
degrees Celsius C     K-273.15    1                     =  1 deg K
degrees Fahrenheit F  R-459.6     5/9                   =  0.555... deg K
degrees Kelvin K      5/9 R       1                     =  1 deg K
degrees Rankine R     9/5 K       5/9                   =  0.555... deg K
degrees Reaumur Re    4/5 C       5/4                   =  1.25 deg K

Absolute zero temp.     = -273.15 C = -459.67 F =   0.00 K =  0.0 R = -218.52 Re
Freezing point of water =    0.00 C =   32.00 F = 273.15 K = 491.67 R =  0.00 Re
Boiling point of water  =  100.00 C =  212.00 F = 373.15 K = 671.67 R = 80.00 Re

C = (F-32)*5/9       = K-273.15         = (R-491.67)*5/9   = Re*5/4
F = C*9/5 + 32       = K*9/5 - 459.67   = R - 459.67       = Re*9/4 + 32
K = C + 273.15       = (F+459.67)*5/9   = R*5/9            = Re*5/4 + 273.15
R = C*9/5 + 491.67   = F+459.67         = K*9/5            = Re*9/4 + 491.67
Re =C*4/5            = (F-32)*4/9       = (K-273.15)*4/5   = (R-491.67)*4/9

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Units of electrical current (SI ampere A)
One               Definition      Equivalent to           SI units
----------------- --------------- --------------------- = ----------------------
abampere abA      10 A            10                    = 10 A
ampere A                          1                     =  1 A
statampere sA                     0.3335641e-9          =  0.3335641e-9 A

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Units of electrical charge (SI coulomb C)
One               Definition      Equivalent to           SI units
----------------- --------------- --------------------- = ----------------------
abcoulomb abC     10 C            10                    = 10 C
coulomb C                         1                     =  1 C
statcoulomb sC                    0.3335641e-9          =  0.3335641e-9 C

1 coulomb = ampere*second = 299792458.0 cm*(dyne)^(1/2)
1 electronic unit charge = 1 e = 0.16021,7653e-18 coulombs

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Units of luminous (SI candela cd)
One               Definition      Equivalent to           SI units
----------------- --------------- --------------------- = ----------------------
candela cd                        1                     =  1.0 cd

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Units of amount of substance (SI mole mol)
One               Definition      Equivalent to           SI units
----------------- --------------- --------------------- = ----------------------
Mole mol                          1                     =  1.0 mol

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Units of 2D angular measurement (SI radian)
One               Definition      Equivalent to           SI units
----------------- --------------- --------------------- = ----------------------
circle            2*pi radians    2*pi                  =~6.28318,53071,79586,48
circumference     2*pi radians    2*pi                  =~6.28318,53071,79586,48
degree            pi/180 radians  pi/180                =~0.01745,32925,19943,30
grade             pi/200 radians  pi/200                =~0.01570,79632,67948,97
minute ang        1 degree / 60   pi/180/60             =~0.00029,08882,08665,72
quadrant          pi/2            pi/2                  =~1.57079,63267,94896,62
radian                            1                     = 1.0
revolution        2*pi radians    2*pi                  =~6.28318,53071,79586,48
right angle       90 degrees      pi/2                  =~1.57079,63267,94896,62
second ang        minute ang/60   pi/180/3600           =~0.00000,48481,36811,10
straight angle    180 degrees     pi                    =~3.14159,26535,89793,24

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Units of 3D solid angular measurement (SI steradian)
One               Definition      Equivalent to           SI units
----------------- --------------- --------------------- = ----------------------
space entire      4*pi            4*pi steradians       =~12.56637,06143,59173,0
spherical degree  2*Pi/360        pi/180 steradians     =~0.01745,32925,19943,30
spherical right angle  4*pi/8     pi/2 steradians       =~1.57079,63267,94896,62
sq degree         (pi/180)^2      (pi/180)^2 steradians =~0.00030,46174,19786,71

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Units of speed (SI meter/sec)
One               Definition      Equivalent to           SI units
----------------- --------------- --------------------- = ----------------------
c                 speed of light  299792458             = 2997,92458.0 m s-1
mile/min          statute mi/min  0.0254*12*5280/60     =   26.8224 m s-1
mile/sec          statute mi/sec  0.0254*12*5280        = 1609.344 m s-1
kilometer/hr      1000 m/hr       1000/3600             =    0.2777... m s-1
in/sec            inch/second     0.0254                =    0.0254 m s-1
ft/sec            foot/second     0.0254*12             =    0.3048 m s-1
mile/hr           statute mi/hr   0.0254*12*5280/3600   =    0.44704 m s-1
knot Int          1852 m/hr       1852/3600             =    0.51444... m s-1
meter/sec         1 meter/sec     1                     =    1.0 m s-1
centimeter/sec    cm/s            1/100                 =    0.01 m s-1

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Units of acceleration (SI meter/sec^2)
One               Definition      Equivalent to           SI units
----------------- --------------- --------------------- = ----------------------
centimeter/sec^2  1 cm/s^2        1                     =   0.01 m s-2
ft/min^2                          0.0254*12/60^2        =   0.00008,4666...m s-2
ft/sec^2          foot/second     0.0254*12             =   0.3048 m s-1
gravity g0        g lat=0 h=0     9.780490              =   9.78049,0 m s-2
gravity g90       g lat=90 h=0    9.832213              =   9.83221,3 m s-2
in/sec^2          inch/second     0.0254                =   0.0254 m s-1
meter/min^2       1 meter/min^2   1/60^2                =   0.00027,77... m s-2
meter/sec^2       1 meter/sec^2   1                     =   1.0 m s-2

================================================================================
Units of force measurement (SI newton)
One               Definition      Equivalent to           SI units
----------------- --------------- --------------------- = ----------------------
dyne dyn          10^-5 newton    10^-5                 =  0.00001 N
Gram-force gf     980.665 dynes   0.00980665            =  0.00980,665 N
kilogram-force    1 kgf =1000 gf  9.80665               =  9.80665 N
newton N          1 kg-m s-2      1                     =  1.0 N
ounce-force       avdp            0.45359237*9.80665/16 =0.27801,38509,53781,25N
pound-force lbf   avdp            0.45359237*9.80665    =  4.44822,16152,605 N
pound-force lbf   avdp            9.80665/(0.0254*12)   =~32.17404,85564,304 pdl
poundal pdl       1 lb-ft s-2     0.45359237*0.0254*12  =  0.13825,49543,76 N

================================================================================
Units of Gold (1 karat = 1/24 of pure gold)
One               Definition      Equivalent to           SI units
----------------- --------------- --------------------- = ----------------------
karat or carat    1/24 pure gold  1000/24               =  41.666... mg g^-1

================================================================================
Fundamental exact constants and definitions
--------------------------------------------------------------------------------
acre Int: acre International = (5280 ft)^2 / 640 = 43560 sq ft.

acre US survey: (5280 ft USs)^2 / 640 = 43560 sq ft USs.

ampere A: This is the SI unit of electric current, defined as the current which,
if maintained in two straight parallel conductors of infinite length and
negligible circular cross section placed 1 meter apart in vacuum, will produce
between them a force equal to 0.2e-6 newton per meter length. It is named after
the French physicist Andre Marie Ampere (1775-1836).
1 A = (1/0.16021,7653e-18) e/s = 30e3*(10 N)^(1/2) m/s = 1 C/s
Where e = electronic unit of charge, C = coulomb, and N = newton.
So, one ampere of current represents one coulomb of electrical charge
(1/0.16021,7653e-18 charge carriers) moving past a specific point in one second.
Physicists consider current to flow from relatively positive points to
relatively negative points; this is called conventional current or Franklin
current.

astronomical unit A: mean distance Earth to Sun = c*tau_A = 2997,92458.0 *
499.00478,63852 =~ 14,95978,71464.184 m.

barrel US dry: 7056 cu in.

bushel US ah (apples heaped): 2747.715 cu in (apples heaped).

bushel US dry: 2150.42 cu in (stricken bushel).

bushel US heaped: 2688.025 cu in = 1.25 bushel US dry.

candela cd: The candela is the SI unit of luminous intensity. It is the luminous
intensity, in the direction of the normal, of a blackbody surface 1/600000
square meter in area, at a temperature of solidification of platinum (2042 K)
under the pressure of 1 physical atmosphere (1 atmosphere = 101325 pascals).

circular inch: area of circle with diameter 1 inch.

circular mil: area of circle with diameter 10^-3 inches.

circular mm: area of circle with diameter 1 mm.

coulomb C: This is the SI unit of quantity of electricity, defined as the
quantity of electric charge transported in 1 second by a current of 1 ampere. It
is named after Charles-Augustin de Coulomb (1736-1806).
1 C = (1/0.16021,7653e-18) e = 30e3*(10 N)^(1/2) m = 1 ampere*second = 1 A-s
Where e = electronic unit of charge, C = coulomb, and N = newton.

dalton: Da = unified atomic mass unit u = 1/12 the mass of an atom of carbon-12
=~1.660538728e-24 g. Named after John Delton. Da = 1/NA gram (where NA is
Avogadro's number = 6.02214,199e23 +/- 0.00000,047e23. Amadeo Avogadro (1776-
1856). Avogadro's number is the number of atoms present in 12 grams of the
carbon-12 isotope (one mole of carbon 12)).

degree of angle: defined by there being 360 degrees in a circle.

drachm: traditional British spelling of dram

gallon Imp liq: 4.54609 L.

gallon US liq: 231 cu in. = old English wine gallon

grain: The common element in troy, apothecaries', and avoirdupois weight: the
troy and apothecaries' pound are 5,760 grains, and the pound avoirdupois is
7,000 grains.

gravity: earth gravitational acceleration, the variation of earth-surface
gravitational acceleration g(lat) with geocentric latitude is given by the
International Gravity Formula adopted in 1930 by the International Geophysical
Congress.
      g(lat) = 978.049*(1 + 0.00528,84*sin^2(lat) - 0.00000,59*sin^2(2*lat)
where g is in cm s-2 and lat in degrees. g0 = g(0) = 9.78049,0 m s-2
g90 = g(90) = 9.83221,3 m s-2

inch (US survey): = 1000/39.37 mm.

inch: in = 25.4 mm. Effective July 1, 1959 the British and US yard was defined
to be the same and equal to 0.9144 m.

karat gold: 24-karat gold is pure gold (karat or carat)

Kelvin K: The Kelvin is the SI unit of temperature. It is 1/273.16th of the
thermodynamic temperature of the triple point of water. It is named after the
Scottish mathematician and physicist William Thomson 1st Lord Kelvin (1824-
1907).

kilogram kg: mass of international prototype of kg.

light time of A (astronomical unit) tau_A: 499.00478,63852 s (SI).

light year ly: distance light travels in a standard tropical year of
315,56925.9747 s = 315,56925.9747*2997,92458 = 9,46052,84048,79358.8126 m.

liter L: 1000 cu cm.

meter: since 1983, the meter is the length of the path traveled by light in
vacuum during a time interval of 1/299,792,458 of a second. Note that the effect
of this definition is to fix the speed of light in vacuum at exactly 299,792,458
m s-1.

mole mol: The mole is the SI unit of substance. It is the amount of substance
that contains the same number of elementary particles as there are atoms in 12
grams of pure nuclide carbon-12.

parsec: The parsec is defined to be the distance from the Earth of a star that
has a parallax of 1 arc second. Alternatively, the parsec is the distance at
which two objects, separated by 1 astronomical unit, appear to be separated by
an angle of one arc second. It is, therefore, approximately: A*360*60*60/(2*pi)
= 2997,92458.0 * 499.00478,63852 * 360*60*60/(2*pi) =~
3.08567,75972,53794,63188�10^16 m =~ 30.85677... Pm (pentameters).

pi: a transcendental number, approximately 3.14159, represented by the 16th
letter of the Greek alphabet pi that expresses the ratio of the circumference to
the diameter of a circle.

point: computer point or PostScript point defined as 1/72 of an inch or
0.352777... mm by Warnock and Geschke, the inventors of Adobe PostScript. Now
the universal point in computer typesetting.

pound avdp: lb = 453.59237 g.

radian: defined by there being 2*pi radians in a circle.

second of time: since 1967, the second is the duration of 9,192,631,770 periods
of the radiation corresponding to the transition between the two hyperfine
levels of the fundamental (ground) state (at a temperature of 0 K) of the atom
cesium 133.

Size: American pocket watch sizes, remember, this is a measure of the diameter
of the movement, not the case. Sizes range from 6/0 (6 ought), 5/0, ..., 2/0, 0,
1, 2, 3, ..., 20. A size 6/0 is exactly 1 inch in diameter and each size is
exactly 1/30 inch larger than the previous size. This makes a size 1 watch 36/30
inches.

speed of light: c = 299,792,458 m s-1.

steradian: defined by there being 4*pi steradians in entire 3 dimensional space.

township: 6 miles on southern border, a parallel, 6 miles on eastern and
western borders, a latitude lines, and less than 6 miles on the northern border,
a parallel. Therefore, a township can be smaller than 6 miles by 6 miles due to
northern border being less than 6 miles (assumes a northern country like USA).

tropical year: 365.24219,87812,5 - 6.14 x 10-6 TE) days where TE is Julian
centuries from day 0.5, 1900 Ephemeris Time

tropical year, mean: (averaged over all ecliptic points) is: 365.24218,967 days
(365 d 5 h 48 min 45.18748,8 s) = 315,56925.18748,8 (at the epoch J2000.0). 

tropical year, standard: at day 0.5, 1900 ephemeris time = 315,56925.9747 s =
315,56925.9747/86400 =  = 365.24219,87812,5 days.


Abbreviations of units:
Y = yotta = 10^24
Z = zetta = 10^21
E = exa = 10^18
P = peta = 10^15
T = tera = 10^12
G = giga = 10^9
M = mega = 10^6
k = kilo = 10^3
h = hecto = 10^2
da = deka or deca = 10^1
d = deci = 10^-1
c = centi = 10^-2
m = milli = 10^-3
u = micro = 10^-6
n = nano = 10^-9
p = pico = 10^-12
f = femto = 10^-15
a = atto = 10^-18
z = zepto = 10^-21
y = yocto = 10^-24


Abbreviations:
... = and so forth, 0.333... = 1/3 exactly
=~ = approximately equal
2D = 2 dimensional
3D = 3 dimensional+-
A = astronomical unit
ah = apples heaped
ang = angular
apoth = apothecary system of weights, grain, scruple, drachma, ounce
avdp = avoirdupois system of weights, dram, ounce, pound
ave = average
Bd = British dry measure
Bl = British liquid measure
Brit = Imp = British Imperial system of weights = avoirdupois
cc = cu cm = cm^3
cu = cubic
Da = dalton
dwt = pennyweight
e = exponent, like 1.0e9 = 1.0*10^9
ft = foot
g = gram
G = Gunter's (US & UK) = Edmund Gunter = Gunther's = surveyor's chain
gal = gallon
hr = hour
hundredwgt = hundredweight
in = inch
Int = international
L = liter
lb = pound avoirdupois
liq = liquid = fluid
ly = light year
m = meters
min = minute of time
mL = milliliter
naut = nautical
old Eng = old English measure prior to the 1824 imperial measure.
petro = petroleum
R = Ramden's (US) = Ramsden's = engineer's chain
s = sec = second of time
size watch US 1 = a size 1 US watch
size watch US d = delta US watch size
sq = square
troy = troy system of weights, grain, pennyweight, ounce, pound
UK = United Kingdom
US = United States of America
USl = US liquid measure
USN = US Navy
USs = survey = United States survey
vol = volume

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