Saturday, September 15, 2012

Astronomers Fix the Astronomical Unit

How can mass units be "orders of magnitude out of scale" with dimensional units?

That's not even an apples-to-oranges comparison - at least those would both be fruits. Comparing mass and distance is literally nonsensical. What? Are you 3 kg away from me?

Mass relates directly to distance, since 1 liter of water (volume of a cube 0.1m on each side) is approximately a kilogram. Alternately, 1 gram is approximately the mass of a cube of water 0.01m on each side; this was, in fact, the original definition [wikipedia.org] as decreed by the French government.

If the French had chosen the mass of 1m^3 of water as the standard then the unit of mass would be in-scale with the units of distance and volume. In a system like that I could estimate my volume by simply stepping on a scale and reading my mass; the same number would be both my mass and volume, just change the unit label. Instead they chose a system where the volume of the definitive unit mass was 6 orders of magnitude away from the unit volume. As if to confuse matters more, the standard volume unit (liter) is 10^3 smaller than the cube of the unit length and (if holding water) has 10^3 larger mass than the unit mass.

If you don't care about this, that's fine; neither did the French. They cared more about the units being useful on their own in day-to-day life, and were happy that there was an even factor of 10 difference between the scales. The historical fact remains, though, that the French knowingly chose not to unify their units when creating the system, presenting modern geeks with the first-world problem of needing a conversion factor between mass and volume rather than the units being strictly 1-to-1, and affording them the opportunity to complain about it. Just because the complaint is pointless doesn't make it wrong;^)

Source: http://rss.slashdot.org/~r/Slashdot/slashdotScience/~3/NtGp4vN0844/astronomers-fix-the-astronomical-unit

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