6 ms·
How many football fields of acceleration is this?
by expertentipp 3y ago
How many football fields of acceleration is this?
- elboru 3y agoAt least 2
- uberman 3y agoabout 0.11 football fields were required to reach 100km/h
- stuff4ben 3y agoAmerican or rest-of-the-world football?
- LanceH 3y agoAmerican or Canadian?
- jaclaz 3y agoSince it is 12.3 meters a more suitable unit of measure (for US journalists) should be the schoolbus.
- perihelions 3y agoIt'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).
- lucgommans 3y agoA 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) $ qalc 50m*25m*2m = 4/3*pi*x^3 (((50 * meter) * (25 * meter) * (2 * meter)) = ((4 / 3) * pi * (x^3))) = approx. (x = 8.4194515 m) 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! Sources: https://en.wikipedia.org/wiki/White_dwarf https://en.wikipedia.org/wiki/White_dwarf · https://en.wikipedia.org/wiki/Olympic-size_swimming_pool https://en.wikipedia.org/wiki/Olympic-size_swimming_pool · https://duckduckgo.com/?q=volume+of+a+sphere&ia=answer https://duckduckgo.com/?q=volume+of+a+sphere&ia=answer · https://www.wolframalpha.com/input?i=surface+gravity+calculator https://www.wolframalpha.com/input?i=surface+gravity+calcula... 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!
- perihelions 3y ago- " You're only one order of magnitude off" Oh shit you're right. Root cause: I saw "3 g" and wrote "3 m/s^2".