Kilometres per hour
The kilometre per hour (American English: kilometer per hour) is a unit of speed, expressing the number of kilometres travelled in one hour. The unit symbol is km/h or km·h−1, however, it is also commonly referred to as kph in English-speaking countries. Worldwide, it is the most commonly used unit of speed on road signs and car speedometers.
Although the metre was formally defined in 1799, the term "kilometres per hour" did not come into immediate use – the myriametre (10,000 metres) and myriametre per hour were preferred to kilometres and kilometres per hour. In 1802 the term "myriamètres par heure" had appeared in French literature and many French maps printed in the first half of the nineteenth century had scales in leagues and myriametres, but not in kilometres. The Dutch on the other hand adopted the kilometre in 1817 but gave it the local name of the mijl.
Several representations of "kilometres per hour" have been used since the term was introduced and many are still in use today. For example, dictionaries list "km/h", "kmph" and "km/hr" as English abbreviations and the SI representations are 'km/h', 'km h−1' and 'km·h−1' and are classified as symbols.
Kilometres per hour as an abbreviation
The use of abbreviations[Note 1] dates back to antiquity, but abbreviations for "kilometres per hour" did not appear in the English language until the late nineteenth century.
The kilometre, a unit of length, first appeared in English in 1810 and the compound unit of speed "kilometers per hour" was in use in the US by 1866. "Kilometres per hour" did not begin to be abbreviated in print until many years later, with several different abbreviations existing near-contemporaneously.
With no central authority to dictate the rules for abbreviations, various publishing houses have their own rules that dictate whether to use upper case letters, lower case letters, periods and so on, reflecting both changes in fashion and the image of the publishing house concerned. For example, news organisations such as Reuters and The Economist require "kph".
In Australian, South African and North American slang and military usage, km/h is commonly pronounced, and sometimes even written, as klicks or kays (K's), although these may also be used to refer to kilometres.
Kilometres per hour as a symbol
The use of symbols to replace words dates back to at least the late Mediaval era when Johannes Widman, writing in German in 1486, used the symbols "+" and "−" to represent "addition" and "subtraction". In the early 1800s Berzelius introduced a symbolic notation for the chemical elements derived from the elements' Latin names. Typically, "Na" was used for the element sodium (Latin: natrium) and H2O for water.
In 1879, four years after the signing of the Treaty of the Metre, the CIPM proposed a range of symbols for the various metric units then under the auspices of the CGPM. Among these were the use of the symbol "km" for "kilometre".
In 1948, as part of its the preparatory work for the SI, the CGPM adopted symbols for many units of measure that did not have universally agreed symbols, one of which was the symbol "h" for "hours". At the same time the CGPM formalised the rules for combining units – quotients could be written in one of three formats resulting in "km/h", "km h−1" and "km·h−1" being valid representations of "kilometres per hour". The SI standards, which were MKS-based rather than CGS-based were published in 1960 and have since then have been adopted by many authorities around the globe including academic publishers and legal authorities.
The SI explicitly states that unit symbols are not abbreviations and are to be written using a very specific set of rules. M. Danloux-Dumesnils provides the following justification for this distinction:
It has already been stated that, according to Maxwell, when we write down the result of a measurement, the numerical value multiplies the unit. Hence the name of the unit can be replaced by a kind of algebraic symbol, which is shorter and easier to use in formulae. This symbol is not merely an abbreviation but a symbol which, like chemical symbols, must be used in a precise and prescribed manner.
SI, and hence the use of "km/h" (or "km h−1" or "km·h−1") has now been adopted around the world in many areas related to health and safety and in metrology. It is also the preferred system of measure in academia and in education.
During the early years of the motor car, each country developed its own system of road signs. In 1968 the Vienna Convention on Road Signs and Signals was drawn up under the auspices of the United Nations Economic and Social Council to harmonise road signs across the world. Many countries have since signed the convention and adopted its proposals. Speed limits signs that are either directly authorised by the convention or have been influenced by the convention are shown below:
Swedish 30 km/h speed limit – the yellow background provides a contrast should the sign be covered by snow.
60 km/h speed limit in Arabic and Latin scripts (UAE)
Waterways speed limit of 9 km/h (Finland)
In 1972 the EU published a directive (overhauled in 1979 to take British and Irish interests into account) that required member states to abandon CGS-based units in favour of SI. The use of SI implicitly required that member states use "km/h" as the shorthand for "kilometres per hour" on official[Note 2] documents.
Another EU directive, published in 1975, regulates the layout of speedometers within the European Union, uses the text "km/h" in all languages. Many of the languages used in the EU do not include all three letters "k", "m" and "h" in the local translation of "kilometres per hour". Examples include:
- Dutch: "kilometer per uur" ("hour" is spelt "uur" – does not start with "h"),
- Portuguese: "quilómetro por hora" ("kilometre" is spelt "quilómetro" – does not start with "k")
- Greek: "χιλιόμετρα ανά ώρα" (a different script).
In 1988 the United States National Highway Traffic Safety Administration promulgated a rule stating that "MPH and/or km/h" were to be used in speedometer displays. On May 15, 2000 this was clarified to read "MPH, or MPH and km/h". However, the Federal Motor Vehicle Safety Standard number 101 ("Controls and Displays") allows "any combination of upper- and lowercase letters" to represent the units.
- 3.6 km/h ≡ 1 m/s, the SI unit of speed, metre per second
- 1 km/h ≈ 0.277 78 m/s
- 1 km/h ≈ 0.621 37 mph ≈ 0.911 34 feet per second
- 1 knot ≡ 1.852 km/h (exactly)
- 1 mile per hour ≡ 1.609344 km/h (~1.61 km/h)
|1 m/s =||1||3.6||2.236936||1.943844||3.280840|
|1 km/h =||0.277778||1||0.621371||0.539957||0.911344|
|1 mph =||0.44704||1.609344||1||0.868976||1.466667|
|1 knot =||0.514444||1.852||1.150779||1||1.687810|
|1 ft/s =||0.3048||1.09728||0.681818||0.592484||1|
(Values in bold face are exact.)
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- 1 yard ≡ 0.9144 m and
1 mile = 1760 yards thus
1 mile = 1760 × 0.9144 ÷ 1000 km