Definition:Imperial/Mass
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Definition
There are three imperial systems of measurement of mass:
Grain
The grain is the imperial unit of mass which is used as the basis of all three of the imperial weight systems.
\(\ds \) | \(\) | \(\ds 1\) | grain | |||||||||||
\(\ds \) | \(=\) | \(\ds \dfrac 1 {437 \cdot 5}\) | ounce avoirdupois | |||||||||||
\(\ds \) | \(\approx\) | \(\ds 64 \cdotp 8\) | milligrams |
Avoirdupois
Dram
The dram is an avoirdupois unit of mass.
\(\ds \) | \(\) | \(\ds 1\) | dram | |||||||||||
\(\ds \) | \(=\) | \(\ds 27 \cdotp 34375\) | grains | |||||||||||
\(\ds \) | \(=\) | \(\ds \dfrac 1 {16}\) | ounce avoirdupois | |||||||||||
\(\ds \) | \(\approx\) | \(\ds 1 \cdotp 77\) | grams |
Ounce
\(\ds \) | \(\) | \(\ds 1\) | ounce avoirdupois | |||||||||||
\(\ds \) | \(=\) | \(\ds 16\) | drams | |||||||||||
\(\ds \) | \(=\) | \(\ds 437 \cdotp 5\) | grains | |||||||||||
\(\ds \) | \(=\) | \(\ds 28 \cdotp 34952 \, 3125\) | grams | |||||||||||
\(\ds \) | \(=\) | \(\ds 0 \cdotp 02834 \, 95231 \, 25\) | kilograms |
The gram / kilogram equivalent is defined to be exact.
Pound
The pound is an avoirdupois unit of mass.
It is defined as being exactly $453 \cdotp 59237$ grams.
\(\ds \) | \(\) | \(\ds 1\) | pound avoirdupois | |||||||||||
\(\ds \) | \(=\) | \(\ds 16\) | ounces avoirdupois | |||||||||||
\(\ds \) | \(=\) | \(\ds 7 \, 000\) | grains | |||||||||||
\(\ds \) | \(=\) | \(\ds 453 \cdotp 59237\) | grams | \(\quad\) (exact) | ||||||||||
\(\ds \) | \(=\) | \(\ds 0 \cdotp 45359237\) | kilograms | \(\quad\) (exact) |
Stone
\(\ds \) | \(\) | \(\ds 1\) | stone | |||||||||||
\(\ds \) | \(=\) | \(\ds 14\) | pounds avoirdupois | |||||||||||
\(\ds \) | \(=\) | \(\ds 224\) | ounces avoirdupois | |||||||||||
\(\ds \) | \(\approx\) | \(\ds 6 \, 350 \cdotp 29318\) | grams |
The gram equivalent is exact.
Quarter
\(\ds \) | \(\) | \(\ds 1\) | quarter | |||||||||||
\(\ds \) | \(=\) | \(\ds 2\) | stone | |||||||||||
\(\ds \) | \(=\) | \(\ds 28\) | pounds avoirdupois | |||||||||||
\(\ds \) | \(\approx\) | \(\ds 12 \cdotp 7\) | kilograms |
Hundredweight
\(\ds \) | \(\) | \(\ds 1\) | hundredweight | |||||||||||
\(\ds \) | \(=\) | \(\ds 4\) | quarters | |||||||||||
\(\ds \) | \(=\) | \(\ds 8\) | stone | |||||||||||
\(\ds \) | \(=\) | \(\ds 112\) | pounds avoirdupois | |||||||||||
\(\ds \) | \(\approx\) | \(\ds 50 \cdotp 8\) | kilograms |
Ton
The ton is an avoirdupois unit of mass.
\(\ds \) | \(\) | \(\ds 1\) | ton | |||||||||||
\(\ds \) | \(=\) | \(\ds 20\) | hundredweight | |||||||||||
\(\ds \) | \(=\) | \(\ds 80\) | quarters | |||||||||||
\(\ds \) | \(=\) | \(\ds 160\) | stone | |||||||||||
\(\ds \) | \(=\) | \(\ds 2240\) | pounds avoirdupois | |||||||||||
\(\ds \) | \(\approx\) | \(\ds 1016\) | kilograms | |||||||||||
\(\ds \) | \(\approx\) | \(\ds 1 \cdotp 016\) | tonnes |
Avoirdupois: Short Variants
Short Hundredweight
\(\ds \) | \(\) | \(\ds 1\) | short hundredweight | |||||||||||
\(\ds \) | \(=\) | \(\ds 100\) | pounds avoirdupois | |||||||||||
\(\ds \) | \(\approx\) | \(\ds 45 \cdotp 359\) | kilograms |
Quarter
\(\ds \) | \(\) | \(\ds 1\) | quarter | |||||||||||
\(\ds \) | \(=\) | \(\ds 5\) | short hundredweight | |||||||||||
\(\ds \) | \(=\) | \(\ds 500\) | pounds avoirdupois | |||||||||||
\(\ds \) | \(\approx\) | \(\ds 181 \cdotp 44\) | kilograms |
Short Ton
\(\ds \) | \(\) | \(\ds 1\) | short ton | |||||||||||
\(\ds \) | \(=\) | \(\ds 4\) | quarters | |||||||||||
\(\ds \) | \(=\) | \(\ds 20\) | short hundredweight | |||||||||||
\(\ds \) | \(=\) | \(\ds 2000\) | pounds avoirdupois | |||||||||||
\(\ds \) | \(\approx\) | \(\ds 907 \cdot 2\) | kilograms |
Apothecaries' Weights
Scruple
The scruple is an apothecaries' unit of mass.
\(\ds \) | \(\) | \(\ds 1\) | scruple | |||||||||||
\(\ds \) | \(=\) | \(\ds 20\) | grains | |||||||||||
\(\ds \) | \(=\) | \(\ds 1 \cdotp 3\) | grams |
Drachm
The drachm is an apothecaries' unit of mass.
\(\ds \) | \(\) | \(\ds 1\) | drachm | |||||||||||
\(\ds \) | \(=\) | \(\ds 3\) | scruples | |||||||||||
\(\ds \) | \(=\) | \(\ds 60\) | grains | |||||||||||
\(\ds \) | \(=\) | \(\ds 3 \cdotp 89\) | grams |
Ounce
The apothecaries' ounce is an apothecaries' unit of mass.
\(\ds \) | \(\) | \(\ds 1\) | apothecaries' ounce | |||||||||||
\(\ds \) | \(=\) | \(\ds 8\) | drachms | |||||||||||
\(\ds \) | \(=\) | \(\ds 24\) | scruples | |||||||||||
\(\ds \) | \(=\) | \(\ds 480\) | grains | |||||||||||
\(\ds \) | \(=\) | \(\ds 1\) | troy ounce | |||||||||||
\(\ds \) | \(=\) | \(\ds 31 \cdotp 1\) | grams |
Pound
The apothecaries' pound is an apothecaries' unit of mass.
\(\ds \) | \(\) | \(\ds 1\) | apothecaries' pound | |||||||||||
\(\ds \) | \(=\) | \(\ds 12\) | apothecaries' ounces | |||||||||||
\(\ds \) | \(=\) | \(\ds 5 \, 760\) | grains | |||||||||||
\(\ds \) | \(=\) | \(\ds 373 \cdotp 24\) | grams | |||||||||||
\(\ds \) | \(=\) | \(\ds 1\) | troy pound |
Troy
Pennyweight
The pennyweight is a troy unit of mass.
\(\ds \) | \(\) | \(\ds 1\) | pennyweight | |||||||||||
\(\ds \) | \(=\) | \(\ds 24\) | grains | |||||||||||
\(\ds \) | \(\approx\) | \(\ds 1 \cdotp 56\) | grams |
Ounce
\(\ds \) | \(\) | \(\ds 1\) | troy ounce | |||||||||||
\(\ds \) | \(=\) | \(\ds 20\) | pennyweight | |||||||||||
\(\ds \) | \(=\) | \(\ds 480\) | grains | |||||||||||
\(\ds \) | \(=\) | \(\ds 1\) | apothecaries' ounce | |||||||||||
\(\ds \) | \(\approx\) | \(\ds 31 \cdotp 1\) | grams |
Pound
\(\ds \) | \(\) | \(\ds 1\) | troy pound | |||||||||||
\(\ds \) | \(=\) | \(\ds 12\) | troy ounces | |||||||||||
\(\ds \) | \(=\) | \(\ds 5 \, 760\) | grains | |||||||||||
\(\ds \) | \(=\) | \(\ds 1\) | apothecaries' pound | |||||||||||
\(\ds \) | \(\approx\) | \(\ds 373 \cdotp 24\) | grams |
Talent
\(\ds \) | \(\) | \(\ds 1\) | talent | |||||||||||
\(\ds \) | \(=\) | \(\ds 75\) | troy pounds | |||||||||||
\(\ds \) | \(=\) | \(\ds 900\) | troy ounces |