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Knot (unit)

Theknot (/nɒt/) is a unit ofspeed equal to onenautical mile per hour, exactly1.852 km/h (approximately1.151 mph or0.514 m/s).[1][2] TheISO standard symbol for the knot iskn.[3] The same symbol is preferred by theInstitute of Electrical and Electronics Engineers (IEEE), whilekt is also common, especially in aviation, where it is the form recommended by theInternational Civil Aviation Organization (ICAO).[4] The knot is a non-SI unit.[5] The knot is used inmeteorology, and inmaritime andair navigation. Avessel travelling at 1 knot along ameridian travels approximately oneminute of geographiclatitude in one hour.

knot
Anairspeed indicator, which shows speed in knots
General information
Unit system
  • meteorology
  • aviation
  • maritime
Unit ofspeed
Symbolkn, kt
Conversions
1 knin ...... is equal to ...
   km/h   1.852
   mph   1.15078
   m/s   0.514444
   ft/s   1.68781

Definitions

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1 international knot =
nautical mile perhour (by definition),
1852.000 metres per hour (exactly),[5]
0.51444 metres per second (approximately),
1.15078 miles per hour (approximately),
20.25372 inches per second (approximately)
1.68781 feet per second (approximately).

The length of the internationally agreed nautical mile is1852 m. The US adopted the international definition in 1954, having previously used the US nautical mile (1853.248 m).[6] The UK adopted the international nautical mile definition in 1970, having previously used the UKAdmiralty nautical mile (6080 ft or1853.184 m).

Conversions between common units of speed
m/skm/hmph (mi/h)knotfps (ft/s)
1m/s =13.6000002.236936*1.943844*3.280840*
1km/h =0.277778*10.621371*0.539957*0.911344*
1mph (mi/h) =0.447041.60934410.868976*1.466667*
1knot =0.514444*1.8521.150779*11.687810*
1fps (ft/s) =0.30481.097280.681818*0.592484*1

(* = approximate values)

Usage

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The speeds of vessels relative to thefluids in which they travel (boat speeds andair speeds) can be measured in knots. If so, for consistency, the speeds of navigational fluids (ocean currents,tidal streams,river currents andwind speeds) are also measured in knots. Thus, speed over the ground (SOG;ground speed (GS) in aircraft) and rate of progress towards a distant point ("velocity made good", VMG) can also be given in knots. Since 1979, theInternational Civil Aviation Organization list the knot as permitted for temporary use in aviation, but no end date to the temporary period has been agreed as of 2024[update].[7]

Origin

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Until the mid-19th century, vessel speed at sea was measured using achip log. This consisted of a wooden panel, attached by line to a reel, and weighted on one edge to float perpendicularly to the water surface and thus present substantial resistance to the water moving around it. The chip log was cast over the stern of the moving vessel and the line allowed to pay out.[8]Knots tied at a distance of 47 feetinches (14.4018 m) from each other, passed through a sailor's fingers, while another sailor used a 30-secondsand-glass (28-second sand-glass is the currently accepted timing) to time the operation.[9] The knot count would be reported and used in thesailing master'sdead reckoning andnavigation. This method gives a value for the knot of20+14 inches per second or 1.85166 kilometres per hour. The difference from the modern definition is less than 0.02%.

Derivation of knots spacing:

1 kn=1852 m/h=0.5144 m/s{\displaystyle 1~{\textrm {kn}}=1852~{\textrm {m/h}}=0.5144~{\textrm {m/s}}} , so in28{\displaystyle 28}  seconds that is14.40{\displaystyle 14.40}  metres per knot.

Modern use

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Graphic scale from aMercator projection world map, showing the change with latitude

Although the unitknot does not fit within the SI system, its retention for nautical and aviation use is important because the length of anautical mile, upon which the knot is based, is closely related to thelongitude/latitudegeographic coordinate system. As a result, nautical miles and knots are convenient units to use when navigating an aircraft or ship.

On a standard nautical chart usingMercator projection, the horizontal (East–West) scale varies with latitude. On a chart of the North Atlantic, the scale varies by a factor of two from Florida to Greenland. A singlegraphic scale, of the sort on many maps, would therefore be useless on such a chart. Since the length of a nautical mile, for practical purposes, is equivalent to about a minute of latitude, a distance in nautical miles on a chart can easily be measured by usingdividers and the latitude scales on the sides of the chart. Recent BritishAdmiralty charts have a latitude scale down the middle to make this even easier.[10]

Speed is sometimes incorrectly expressed as "knots per hour",[11] which would mean "nautical miles per hour per hour" and thus would refer toacceleration.

Aeronautical terms

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Prior to 1969, airworthiness standards for civil aircraft in the United StatesFederal Aviation Regulations specified that distances were to be in statute miles, and speeds in miles per hour. In 1969, these standards were progressively amended to specify that distances were to be in nautical miles, and speeds in knots.[12]

The following abbreviations are used to distinguish between various measurements ofairspeed:[13]

The indicated airspeed is close to the true airspeed only at sea level in standard conditions and at low speeds. At11000 m (36000 ft), an indicated airspeed of 300 kn may correspond to a true airspeed of 500 kn in standard conditions.

See also

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References

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  1. ^Wragg, David W. (1973).A Dictionary of Aviation (first ed.). Osprey. p. 173.ISBN 9780850451634.
  2. ^Bartlett, Tim (July 2008) [2003].RYA Navigation Handbook. Southampton:Royal Yachting Association.
  3. ^"ISO 80000-3:2006".International Organization for Standardization. Retrieved20 July 2013.
  4. ^International Standards and Recommended Practices, Annex 5 to the Convention on International Civil Aviation, "Units of measurement to be Used in Air and Ground Operations", ICAO, 4th Edition, July 1979.
  5. ^ab"Non-SI units accepted for use with the SI, and units based on fundamental constants".SI brochure (8th ed.).International Bureau of Weights and Measures.The knot is defined as onenautical mile per hour. There is no internationally agreed symbol, but the symbol kn is commonly used.
  6. ^Louis E. Barbow and Lewie V. Judson (1976)."Appendix 4 The international nautical mile"(PDF).Weights and Measures Standards of the United States, A brief history. NIST Physics Laboratory. Archived fromthe original(PDF) on 26 September 2007. Retrieved2 August 2007.
  7. ^"The Convention on International Civil Aviation Annexes 1 to 18"(PDF). Retrieved11 November 2024.
  8. ^Jacob Abbott (1858).Rollo on the Atlantic. DeWolfe, Fiske, & Co., Publishers. Retrieved30 November 2011.
  9. ^Kemp, Peter, ed. (1976).The Oxford Companion to Ships and the Sea. Oxford University Press. p. 454.ISBN 0-19-282084-2.
  10. ^E.g. BA Chart 73,Puerto de Huelva and Approaches, 2002
  11. ^Wilson, Alastair (22 July 2009)."'Knots an hour'".The Kipling Society. Retrieved1 December 2012.Since the 1890s or thereabouts, it has been drummed into the young seaman that a knot is a unit of speed, namely, one nautical mile per hour; and that consequently only the uneducated speak of "knots per hour" or "knots an hour". It was therefore inevitable that Kipling's frequent use of this expression should grieve a number of seafaring readers, as the pages of the Kipling Journal testify.
  12. ^For example, Part 23 of the Federal Aviation Regulations, amendment 23–7, 14 September 1969
  13. ^"Abbreviations and symbols".edocket.access.gpo.gov.

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