Weights and Measures
 
Length
Imperial: Basic Unit 1 inch = 0.0254 m exactly
            originally the length of three grains of barley laid end to end
            1 line(≈2.12 mm)            
4 lines=1 barleycorn(≈8.47 mm)
3 barleycorns=1 inch(2.54 cm)
12 inches=1 foot(12 inches) (0.3048 m)
3 feet=1 yard(36 inches) (0.9144 m)
3¾ feet=1 ell(45 inches) (1.143 m)
5½ yards=1 perch(198 inches) (5.0292 m)
1 perch=1 pole(198 inches) (5.0292 m)
1 perch=1 rod(198 inches) (5.0292 m)
1 perch=1 rood(198 inches) (5.0292 m)
4 perches=1 chain(66 feet or 22 yards) (≈20 m)
10 chains=1 furlong(660 feet or 220 yards) (≈201 m)
8 furlongs=1 mile(5280 feet or 1760 yards) (1609.344 m)
3 miles=1 league(15840 feet or 5280 yards) (≈4829 m)
U.S.: Basic Unit 1 inch = 0.0254 m exactly
1 inch(0.0254 m)
12 inches=1 foot(12 inches) (0.3048 m)
3 feet=1 yard(36 inches) (0.9144 m)
1760 yards=1 mile(5280 feet or 1760 yards) (1609.344 m)
Scottish (abandoned): Basic Unit 1 inch ≈0.02554 m
1 inch(0.02554 m)
12 inches=1 foot(≈12.065 imperial inches) (≈0.3065 m)
37 inches=1 ell(≈0.9449 m)
6 ells=1 fall(≈6.2 imperial yards) (≈5.669 m)
40 falls=1 furlong(≈226.8 m)
8 furlongs=1 mile(≈1.127 imperial mile) (≈1814 m)
Imperial and U.S.: Basic Unit 1 inch = 0.0254 m exactly
            Nautical Only
6 feet=1 fathom(6 feet) (1.8288 m)
20 fathoms=1 cable(120 feet) (36.576 m)
1 Nautical Mile (Imperial)=6080 feet (until 1970)(120 feet) (1.853184 km)
1 Nautical Mile (U.S.)=6080.2 feet (until 1953)(120 feet) (1.853249 km)
1 Nautical Mile=1852 m(≈6076 feet or ≈1.15 miles)
            Surveying Only
7.92 inches=1 link(≈0.2 m)
100 links=1 chain(792 inches) (≈20 m)
Others
1 Light Year5,878,625,373,000 miles
9.4607304725808×1015 m
1 mil=0.001 inch
=25.4 microns(2.54×10-5m)
1 Angstrom (1Å)0.000000003937 inch(10-10m)
1 Micron (1μm)0.00003937 inch(10-6m)
1 Millimetre (1mm)0.03937 inch(10-3m)
1 Centimetre (1cm)0.3937 inch(10-2m)
1 Metre (1m)39.3700787 inch
3.28083990 foot
1.09361330 yard
1 Kilometre (1km)0.62137119 mile(103m)
1093.61330 yards
3280.83990 feet
diameter of an electron5.63588065×10-15 m
4,507,000,000,000 per inch
diameter of a proton1.5×10-15 m(35% margin of error)
diameter of 1H atom1.058×10-10 m
240,000,000 per inch
diameter of 16O atom1.20×10-10 m
211,000,000 per inch
length of air molecule2.40×10-10 m(O2 and N2 same)
106,000,000 per inch
diameter of large atom6.6×10-10 m(typical of atoms beyond Na)
40,000,000 per inch
 
Area
Imperial: Basic Unit 1 perch = 198 inches or 16½ feet or 5.0292 m exactly
1 square perch(272¼ square feet) (≈25.29 m2)
40 square perches=1 rood(10,890 square feet) (≈1000 m2)
4 roods=1 acre(43,560 square feet) (≈4000 m2)
1 furlong × 1 chain=1 acre(43,560 square feet) (≈4000 m2)
640 acres=1 square mile(27,878,400 square feet) (≈2,600,000 m2)
Others
1 square inch=6.4516 cm20.00064516 m2
1 square foot=929.0304 cm20.09290304 m2
1 square yard0.836127 m2
1 square mile2,589,988 m2
1 barn=10-28 m2
1 square centimetre0.155 square inch
1 square metre10.7639 square foot
1.19599 square yard
1 are (a)=100 m2(≈ 4 square perches or ≈0.1 rood)
1 hectare (ha)=10,000 m2(≈2½ acres)
1 square kilometre0.386102 square mile(100 ha)
247 acres
 
Capacity
Imperial: Basic Unit 1 pint = 0.56826125 l exactly
            originially the volume of 20 ounces of distilled water            
            Smallest Unit 1 minim = about the smallest possible drop of water            
            Imperial Bushel of 1826 = volume of 80 pounds of distilled water in air at 62°F            
            Fluid Only
1 minim(≈59.2 μl)
20 minims=1 fluid scruple(20 minims) (≈1.18 ml)
3 fluid scruples=1 fluid drachm(60 minims) (≈3.55 ml)
8 fluid drachms=1 fluid ounce(480 minims) (≈28.4 ml)
5 fluid ounces=1 gill(2400 minims) (≈0.142 l)
            Fluid or Dry
4 gills=1 pint(0.56826125 l)
1 pint≈1.20095 U.S. fluid pint
2 pints=1 quart(≈1.14 l)
2 quarts=1 pottle(≈2.27 l)
2 pottles=1 gallon(≈4.55 l)
1 gallon≈1.20095 U.S. fluid gallon
            Dry Only
2 gallons=1 peck(2 gallons) (≈9.09 l)
4 pecks=1 bushel(8 gallons) (≈36.4 l)
8 bushels=1 quarter(64 gallons) (≈291 l)
84 gallons=1 puncheon(84 gallons) (≈882 l)
4 quarters=1 chaldron(256 gallons) (≈1164 l)
5 quarters=1 wey(320 gallons) (≈1455 l)
2 weys=1 last(640 gallons) (2909.4976 l)
            Fluid Only
9 gallons=1 firkin(9 gallons) (≈40.9 l)
2 firkins=1 kilderkin(18 gallons) (≈81.8 l)
2 kilderkins=1 barrel(36 gallons) (≈164 l)
6 firkins=1 hogshead of ale(54 gallons) (≈491 l)
7 firkins=1 hogshead of wine(63 gallons) (≈573 l)
3 barrels=1 pipe(108 gallons) (≈982 l)
2 pipes=1 tun(216 gallons) (≈1964 l)
Scottish
            Wheat only
553.5625 cubic inches=1 Lippy(≈1.995399 gallons) (≈9.071264 l)
4 Lippies=1 Peck(≈7.981597 gallons) (≈36.28506 l)
4 Pecks=1 Firlot(≈31.926386 gallons) (≈145.1402 l)
            Anything else
807.55 cubic inches=1 Lippy(≈2.910935 gallons) (≈13.23374 l)
4 Lippies=1 Peck(≈11.64374 gallons) (≈52.93350 l)
4 Pecks=1 Firlot(≈46.57496 gallons) (≈211.7340 l)
Oil
1 Barrel=42 U.S. fluid gallons(≈34.972308 imperial gallons) (≈159.99 l)
U.S. Fluid Capacity: Basic Unit 1 pint = 0.473176473 l exactly
1 U.S. fluid ounce=0.8593670 U.S. dry ounce
≈1.040842 Imperial fluid ounce
1 ounce29.57 ml
16 ounces=1 pint(≈0.473 l)
1 U.S. fluid pint=0.8593670 U.S. dry pint
≈0.832674 Imperial pint
2 pints=1 quart(≈0.946 l)
4 quarts=1 gallon(≈3.785 l)
1 U.S. fluid gallon=0.8593670 U.S. dry gallon
≈0.832674 Imperial gallon
U.S. Dry Capacity: Basic Unit 1 pint = 0.5506104713575 l exactly
1 U.S. dry ounce=1.163646 U.S. fluid ounce
≈1.211172 Imperial fluid ounce
1 ounce34.41 ml
16 ounces=1 pint(≈0.551 l)
1 U.S. dry pint=1.163646 U.S. fluid pint
≈0.968938 Imperial pint
2 pints=1 quart(≈1.10 l)
4 quarts=1 gallon(≈4.40 l)
1 U.S. dry gallon=1.163646 U.S. fluid gallon
≈0.968938 Imperial gallon
8 gallons=1 bushel(≈35.24 l)
Others
1 mole of ideal gas22.413996 lat 32°F or 0°C
0.791543 cubic feet
3.59843 U.K. gallon
1 cubic inch=16.387064 cm3
0.576744 U.K. fluid ounce
0.554112 U.S. fluid ounce
1 cubic foot6.228835 U.K. gallon
7.48052 U.S. gallon
28.31685 litre
0.02831685 m3
1 cubic yard168.179 U.K. gallon
201.975 U.S. gallon
764.555 litre
1 litre (1 l)1.7597539 U.K. pint
2.1133764 U.S. pint
1.8161660 U.S. dry pint
=1000 cm3
=0.001 m3
1 cubic centimetre (1 cc)=1 millilitre (1 ml)
1 millilitre (1 ml)16.9 minims
0.85 fluid scruple
0.035 U.K. fluid ounce
1 cubic metre (1 m3)=1 stere
=1000 litre
1.3079506 cubic yard
35.314667 cubic foot
219.969 U.K. gallon
264.172 U.S. gallon
1 cubic mile=5.451776×109 cubic yard
=1.471980×1011 cubic feet
9.168718×1011 U.K. gallon
1.101097×1012 U.S. gallon
4.168104×1012 litre
 
Weight
            Basic Unit 1 grain, originally the weight of a grain of wheat
Troy: for drugs, jewels, and precious metals
1 grain(0.06479891 g)
4 grains=1 carat(4 grains) (≈0.259 g)
5 carats=1 scruple(20 grains) (≈1.30 g)
6 carats=1 pennyweight(24 grains) (≈1.56 g)
3 scruples=1 drachm(60 grains) (≈3.89 g)
8 drachms=1 ounce(480 grains) (≈31.1 g)
20 pennyweight=1 ounce(480 grains) (31.1034768 g)
1 troy ounce=1.0971428 avoirdupois ounce
12 ounces=1 pound(5760 grains) (0.3732417216 kg)
Imperial Avoirdupois
1 grain(0.06479891 g)
27.34375 grains=1 dram(≈1.772 g)
16 drams=1 ounce(437½ grains) (≈28.35 g)
1 avoirdupois ounce=0.9114583 troy ounce
16 ounces=1 pound(7000 grains) (0.45359237 kg)
14 pounds=1 stone(14 pounds) (≈6.35 kg)
2 stones=1 quarter(28 pounds) (≈12.70 kg)
4 quarters=1 hundredweight(112 pounds) (≈50.80 kg)
20 hundredweight=1 ton(2240 pounds) (1.0160469088 T)
1 Imperial ton=1.12 U.S. ton
Tower: for money
            Basic Unit the Tower Pennyweight, the weight of a silver penny
22½ grains=1 pennyweight(≈1.458 g)
20 pennyweights=1 ounce(450 grains) (≈29.16 g)
12 ounces=1 pound(5400 grains) (≈349.9 g)
U.S. Avoirdupois
1 grain(≈0.06479891 g) = 1 imperial grain
437½ grains=1 ounce(≈28.35 g) = 1 imperial ounce
16 ounces=1 pound(7000 grains) (0.45359237 kg) = 1 imperial pound
100 pounds=1 hundredweight(45.359237 kg) (≈0.8929 imperial hundredweight)
20 hundredweight=1 ton(2000 pounds) (0.90718474 T)
1 U.S. ton≈0.8929 Imperial ton
Other
1 milligram (1mg)0.015432358 grain
1 gram (1g)15.432358 grain
0.0352740 ounce
1 Lippy weight28 ounces
1 kilogram (1kg)2.2046226 pound
1 Tonne (1T or 1Mg)0.9842065 ton
1.1023113 U.S. ton
Mass
Mass of 1 Proton1.67262171×10-27 kg
Mass of 1 Electron9.1093826×10-31 kg
Mass of 12C atom1.992647×10-26 kg
 
Energy
 
1 calorie4.185 Joule
1 kilocalorie (1kcal)4185 Joule
1 British thermal unit (1BTU)=1055.056 Joule
0.2520124 kcal
1 kilowatt hour (1kWH)=3,600,000 Joule
860215 calorie
1 joule (1J)0.238948 calorie
=3.6 milliwatt hour
=10,000,000 erg
1 electron volt (1eV)1.60217653×10-19 joule
96,485 joule per mole
melt 1 pint ice190,000 joule
boil 1 pint frigid water238,000 joule
evaporate 1 pint boiling water1,285,000 joule
burning 1 pint of whisky6,600,000 joule
burning 1 pound of wood7,000,000 joule
burning 1 pound of coal12,000,000 joule
burning 1 pound of propane22,834,000 joule
burning 1 gallon of gasoline121,000,000 joule
burning 1 gallon of petrol145,000,000 joule
1 kiloton of TNT (1kT)4.184×1012 joule
1.16 gigawatt hour (1.16GWH)
132.6 kilowatt year
1 megaton of TNT (1MT)4.184×1015 joule
1 kg mass equivalent8.987551787×1016 joule
21½ megaton
 
Power
 
1 Watt (1 W)=1 joule per second
1 imperial horsepower (1 hp)745.699872 Watt
1 kilowatt (1 kW)1.341022 hp
raises 1 pint frigid water to boiling in 4 mins
evaporates 1 pint boiling water in 21 mins
heat from 1 candle40 Watt
radiation from 1 pound of plutonium251 Watt
from sun on earth per m21366 Watt
sun's output3.86×1026 Watt
Electrical
Charge on electron1.60217653×10-19 Coulomb
1 Faraday96,485.3383 Coulomb per mole
 
Velocity
 
1 mile per hour (1MPH)=0.44704 metre per second
1.466666 foot per second
=1.609344 kilometre per hour
0.868976 knot
1 metre per second (1m/s)2.236936 MPH
1 foot per second (1fps)0.681818 m/s
1 knot (1kt)=0.51444444444 m/s
1.15078 MPH
1 kilometre per hour (1kph)=0.2777777777 m/s
=1.609344 MPH
1 speed of light (1c)299,792,458 m/s
670,616,542 MPH
186,282 miles per second
983 feet per microsecond
 
Time
 
1 minute=60 second
1 hour=3600 second
1 day=86400 second
1 (non-leap) year=31,536,000 second(365 day)
1 leap year=31,622,400 second(366 day)
1 average year=31,556,952 second(365.2425 day)
1 mean tropical year365.242190419 day
31,556,925.25 second
 
Quantity
 
1 mole6.0221418×1023(2006 estimate)
602,214,180,000,000,000,000,000
 
Money
British, until 15th February 1971
U.S., until about 1781
1 farthing(¼d)
4 farthings=1 penny (1d)(1d)
4 pence=1 groat(4d)
12 pence=1 shilling (1/-)(12d)
5 shillings=1 crown(60d)
20 shillings=1 pound (£1)(240d)
21 shillings=1 guinea(252d)