this post was submitted on 23 Mar 2025
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the most impressive thing to me is that people managed to standardize and zero in a precise "second" especially back when seconds were kept by mechanical means. I wonder how they went about ensuring it.
A 1m pendulum has a 1 second half-period.
is it not dependent on mass at all? It's possible given that this is the metric system that this is actually just a convenient retroactive truth about meters. I suppose it wouldn't necessarily be, but then you're accounting for gravity as well, which means you're going to need a pretty effective approximation there. As well as a way to account for any mechanical losses as well.
I'm not sure the metric system even existed when we developed the first mechanical time keeping devices.
The mass cancels out.
I don't know if it's purely a coincidence. The meter comes from the Earth's circumference (1/10 000 000 of the pole-equator distance) and I believe the second is much older, which points to a coincidence.
it makes sense that the mass does cancel out, it is a change of potential and kinetic energy at all, i suppose i'm just conflating more complicated things with it lol.
it's pretty likely to be a coincidence, but if i had to guess it's a "lucky coincidence" one that was intentionally chosen because of it's convenience. Rather than by pure happenstance. There's not a particularly good reason 1 meter needs to be 1/10000000 the pole equator distance for example. So that would be pretty easy to reverse fudge nicely.