Reckoning

Reckoning / Measure / Mass

Measure · 21 units

Mass

The kilogram is fixed by the Planck constant (2019). The pound has been exactly 0.453 592 37 kg since 1959, and the grain, 1/7000 pound, is shared by the avoirdupois, troy and apothecaries’ systems, which is how those three relate.

Convert mass

Then and now

For 130 years the kilogram was the mass of one metal cylinder kept near Paris; copies drifted from it by tens of micrograms. The carat once varied by country between about 188 and 213 mg before settling on 200 mg.

All mass units

“Exact” means the unit is defined as an exact multiple of the SI unit; the decimal is printed in full when it ends. Rows marked historical or obsolete are kept for reading old documents.

UnitDefined asIn SIStatusSource
SI
milligram mg1/1000 g0.000 001 kgexactBIPM SI Brochure
gram g1/1000 kg0.001 kgexactBIPM SI Brochure
kilogram kgSI base unit: fixed by the Planck constant h = 6.626 070 15 × 10⁻³⁴ J s1 kgexactBIPM SI Brochure
SI (accepted)
tonne (metric ton) t1000 kg1 000 kgexactBIPM SI Brochure
Imperial / US
grain gr64.798 91 mg = 1/7000 pound0.000 064 798 91 kgexact
The grain is shared by the avoirdupois, troy and apothecaries’ systems.
Yard and pound, 1959
US
hundredweight (short)100 pounds45.359 237 kgexactNIST Handbook 44
ton (short)2000 pounds907.184 74 kgexactNIST Handbook 44
Imperial
stone st14 pounds6.350 293 18 kgexactUK Weights and Measures Act 1985
quarter (British)28 pounds12.700 586 36 kgexact historicalNIST Handbook 44
hundredweight (long) cwt112 pounds50.802 345 44 kgexactNIST Handbook 44
ton (long)2240 pounds = 20 long hundredweight1 016.046 908 8 kgexactNIST Handbook 44
Avoirdupois
dram (avoirdupois) dr1/16 ounce = 27.343 75 grains0.001 771 845 195 312 5 kgexactNIST Handbook 44
ounce (avoirdupois) oz1/16 pound = 437.5 grains0.028 349 523 125 kgexactYard and pound, 1959
pound (avoirdupois) lbexactly 0.453 592 37 kg = 7000 grains0.453 592 37 kgexactYard and pound, 1959
Troy
pennyweight dwt24 grains0.001 555 173 84 kgexactNIST Handbook 44
troy ounce oz t480 grains = 31.103 476 8 g0.031 103 476 8 kgexact
Precious metals are still priced by the troy ounce.
NIST Handbook 44
troy pound12 troy ounces = 5760 grains0.373 241 721 6 kgexact historicalNIST Handbook 44
Apothecaries’
scruple20 grains0.001 295 978 2 kgexact historicalNIST Handbook 44
dram (apothecaries’)3 scruples = 60 grains0.003 887 934 6 kgexact historicalNIST Handbook 44
Gemstones
carat (metric) ctexactly 200 mg0.000 2 kgexact
Before the metric carat (1907 onward) the carat varied from about 188 to 213 mg by country.
NIST Handbook 44
US engineering
slugthe mass that 1 pound-force accelerates at 1 ft/s²14.593 902 937 2… kgexact historicalNIST SP 811