Guy Alcala
Contributor
Actually it is probably not true that "it is sheer luck". The initial eighteenth century definition of meter is related to the radius of earth and gram is related to the mass of fresh water which makes the product of \rho(density of sea-water ~ 3% more that of freshwater) and g(acceleration due gravity) close to 10. Only contribution of the luck is the value of Gravitational constant, though it was also implicitly linked to density of earth to density of water by Cavendis' famous experiment in 1798.
Mainak
Very true. I had read a book last year (can't remember the title) describing the effort by two French scientists in the 1780-90s to measure the distance to establish the length of a meter (IIRR it was supposed to be 1/10 millionth of the distance from the equator to the pole along a meridian). The fact that this project was given the go-ahead under the monarchy but only started while the revolution unfolded made it a lot more personally dangerous than it would otherwise have been.
Of course, the problem was that as the accuracy of measurement improved it would throw the meter's length out, making the whole idea to tie the meter's length to a 'fixed' earth-based measurement somewhat utopian at best, nonsensical at worst. And one of the scientists made a mistake which introduced a small error into the calcs, but was too ashamed to admit it.
Guy
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