It's *roughly* the gravitational acceleration at the surface of an Olympic-size swimming pool of electron-degenerate matter from a white dwarf star. Hope this helps!
(Note: the swimming pool has collapsed under its own weight and is now a sphere).
A white dwarf's density is apparently around 1e9 kg/m³. Olympic swimming pools at 50m*25m*2m * 1e9kg/m³ would have a weight of 2.5e12 kg. As a sphere, the radius is (solving: volume_of_sphere = 4/3×π×radius³)
Gravitational acceleration (for a point mass) is: the gravitational constant, multiplied by the mass, divided by the radius squared, and we want the result in Earth gravities:
$ qalc G * 2.5e12kg / 8.4194515² m² to gee
(newtonian_constant * ((2.5 * (10^12)) * kilogram)) / ((8.4194515^2) * (meter^2)) =
approx. 0.24 gee
You're only one order of magnitude off — if this is correct, which I am really not sure about!
What I'm even less sure how to calculate is whether an 8-meter sphere can be that heavy. Uranium is ~2e4 kg/m³, but under its own gravity, things shrink until they reach black hole status (infinite smallness; perceived size coming from its event horizon). Basically I'd want to turn the above 1e9kg/m³ into an unknown, but what's the formula for mass given your specified radius and gravitational acceleration? TBD
I'm really curious if this was just a few words strung together and it happened to come out to within one order of magnitude by pure coincidence, or if (how) you calculated this!
