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by hoektoe 4447 days ago
Did I miss something, why 14.4m between knots? Or why set 1.852 kilometers as the nautical mile?
5 comments

From Wikipedia: "The nautical mile is a unit of length that is approximately one minute of arc measured along any meridian."
Still doesn't answer "why." More specifically, why is it more advantageous to measure it this way versus some other way? Why do airplanes measure their speed/distance in knots? Why not cars, trucks, runners, and physicists?
Ships and airplanes traditionally navigate using latitude/longitude measurements. Since that coordinate system is based on degrees/minutes/seconds of arc, a length unit that uses the same system is more natural.
;-) I kind of knew this already, but thanks for confirming. Point being, there's not a good reason "why" today. Truth is that it's convention at this point. People used to use maps and various tools to do navigation by sea and air. The methods they developed assumed certain things (traveling in an arc, usage of maps with lat/long lines, etc..), which meant the knot was more preferable.
Valid points all but we're using 20/20 hindsight to render judgments on received conventions during a time in which the more logical metric system exists. A quick glance at 'Knot (unit)' in Wikipedia supplies a 'rationalization' for the use of knots involving old Mercator projection navigation maps. But all of these 'knots' and 'mile' measures are based on the English 'foot'; where did the old 'foot' standard come from? Some 10/11 convention imposed by an English King Henry III on an older system. And by extension, why retain 24 hours in a solar day or the Babylonian 360 degrees in a circle? Or more recently, why the Cartesian convention of ordinate-vertical and abscissa-horizontal on graphs rather than the other way around (sundial-clockwise would be positive; back-Kronecker [0 1,1 0] to convert)? After a while these mathematical musings start to resemble idle etymological ramblings in linguistics: eg, 'extreme' conflates 'out of' and 'sewer'; but then why those particular phonemes for the sense of 'out of' or 'sewer'? As my brother the research psychiatrist frequently retorts "You're trying to be logical. People aren't logical"
24 and 360 are really good unit bases for something you have to divide by hand. 24 gets you 2/3/4/6/8/12 while 360 gets you 2/3/4/5/6/8/10/12/15/18/20/24/30/36/45/60/72/90/120/180

And, we don't always adhere to cartesian conventions. Right-hand and left-hand rules abound in engineering. And even computer graphics regularly flips the axis directions depending upon usage (perspective transforms, for example).

And, decimal degrees isn't that uncommon either.

There's still an expectation that a skilled navigator can work out position and movement by hand, using charts, speed and compass headings ("dead reckoning") and have those results reasonably match/confirm the information reported by more modern systems. Using knots makes this significantly easier than it would be if speed and distance were reported using statute miles or another unit that's not easily converted into change in Lat/Long.
You don't travel on along a great circle when you driving or running. But when you are flying and sailing long distances, you do.
It's just a convenient way to define a unit of length. Look up the original definition of the metre and you'll see that it's basically the same except for some constants.
The metre was originally defined as 1/10,000 of the distance from the equator to the north pole through Paris. There's a corresponding measure of angle (gradian -- 1/400 of a circle) which has never become widely adopted (although my old casio calculator supported it)
The nautical mile is the length of a minute of arc along a great circle on the surface of Earth. I think the 14.4m figure is wrong; that should be 15.4m, which is the distance covered in 30 seconds by a vessel going at 1 nautical mile per hour.
I'm randomly reading some of the links here. The Wikipedia article on the Chip log associates the 14.4 meters with a 28 second sandglass.
Because the article insists on using metric when using other units would have made for a much better explanation since it would show the evolution and not be confusing like 14.4m.

rdl and other explain the reason for a nautical mile above: https://news.ycombinator.com/item?id=7559252

There are approximately 40000 km in a great circle passing through both poles and Paris.

40000 km / 360 degree * 1 degree / 60 arcminute = 1.851... km / polar arcminute

if 1 knot is 1 arcminute / hour, then to get the distance in meters per knot, you use the following factors:

1.851... km / hour * 1000 m / 1 km * 1 hour / 60 minutes * 1 minute / 60 seconds * 30 seconds / knot = 15.432 m / knot

It was originally 7 fathoms. Later the value was refined a bit because of newer measurements and updated definition of the nautical mile. Why 7, I don't know. Wikipedia seems to indicate that the definition of a knot was derived from that of a nautical mile, but I wonder if it wasn't the other way around originally. https://en.wikipedia.org/wiki/Chip_log#Origins