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It survived as the Byzantine liquid ounce (Ancient Greek: οὐγγία, oungía) and the origin of the English inch, ounce, and fluid ounce. The Roman inch was equal to 1 ⁄ 12 of a Roman foot (pes), which was standardized under Agrippa to about 0.97 inches or 24.6 millimeters. [citation needed] The Roman ounce was 1 ⁄ 12 of a Roman pound. [1]
The atomic mass constant, denoted m u, is defined identically, giving m u = 1 / 12 m(12 C) = 1 Da. [ 3 ] This unit is commonly used in physics and chemistry to express the mass of atomic-scale objects, such as atoms , molecules , and elementary particles , both for discrete instances and multiple types of ensemble averages.
A metric ounce is an approximation of the imperial ounce, US dry ounce, or US fluid ounce. These three customary units vary. However, the metric ounce is usually taken as 25 or 30 ml (0.88 or 1.06 imp fl oz; 0.85 or 1.01 US fl oz) when volume is being measured, or in grams when mass is being measured.
An ounce-force is 1 ⁄ 16 of a pound-force, or about 0.2780139 newtons. It is defined as the force exerted by a mass of one avoirdupois ounce under standard gravity (at the surface of the earth, its weight). The "ounce" in "ounce-force" is equivalent to an avoirdupois ounce; ounce-force is a measurement of force using avoirdupois ounces.
The teaspoon, tablespoon, and cup are defined in terms of a fluid ounce as 1 ⁄ 6, 1 ⁄ 2, and 8 fluid ounces respectively. The fluid ounce derives its name originally from being the volume of one ounce avoirdupois of water, [ 21 ] but in the US it is defined as 1 ⁄ 128 of a US gallon.
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Because of the identity property of multiplication, multiplying any quantity (physical or not) by the dimensionless 1 does not change that quantity. [5] Once this and the conversion factor for seconds per hour have been multiplied by the original fraction to cancel out the units mile and hour, 10 miles per hour converts to 4.4704 metres per second.
In the 18th century, the table-spoon became an unofficial unit of the apothecaries' system of measures, equal to 4 drams ( 1 / 2 fl oz, 14.8 ml). It was more commonly known by the Latin name cochleare majus (abbreviated cochl. maj.) or, in apothecaries' notation, f℥ss or f℥ß (fluid ℥, i.e. ounce, semis, one-half). [13] [14] [15]