Postby A tiger striped cat » Thu Jun 13, 2013 5:24 am
Sup dudes.
After some big-ass thinking I found a way to determine the weight of the Evangelions. And after that, I noticed I could do it in a tenth of the time. By the way:
I assumed Eva Units, without the armor, have the same density of the human body. They're human after all, although I had to pimp it up a bit since we must assume their frame, their bones and muscles are much hardened.
The body density is available, all I had to do was to figure out the VOLUME of the Evangelions.
The best I could come up with, was an old anthropology study in which some badass old scientist dude, surely one of those with handlebar moustache, proposed the idea that -besides the Archimede's body-in-water, since in this case is obviously impossible- the human body volume could be represented by a cilinder of the same height of the subject and with a radius experimentally measured.
Volume of a cylinder: V = h*pi*r^2
I used my height and my volume (found it on the Internet, volume for every shape of body is available) and reconducted to a mean value, then I reversed the equation in order to get the r.
At this point, it was obvious that h and r are directly proportional, so, knowing the two limit values of the Units's height (40m and 200m), I used the proportionality constant to get the r(min) and r(MAX) of the cylinders corresponding to the Evas' volume at min and MAX h.
Having both h and r, I calculated the volume:
V(min) = h(min)*pi*r(min)^2 = circa 964.20m^3
V(MAX) = h(MAX)*pi*r(MAX)^2 = circa 120'525.63m^3
Then I proceeded to calculate the mass multiplying by the density of the body.
MASS OF THE BODY OF AN EVANGELION UNIT
m(min) = 949'737 kg at h = 40
m(MAX) = 118'717'747 kg at h = 200
Dudes that's fucking massive. But things get worse when you consider all the cyber stuff they carry around: biomechanical parts, armor, binders, etc.
I have absolutely no clue of how much could that stuff weigh, the best I can do is considering that some armors IRL can weigh as much as 20% of its user. But it's far too inaccurate to include that in the pseudo decent math I did until now, so you can figure it out yourselves, I'll limit myself to some indicative values:
min mass + gear = 1'200'000 kg
max mass + gear = 130'000'000 kg
Remember this is just raw math, with the few data available and just a rough approximation to real values and to hypothetical variations due to biological composition, shapes etc. etc., and on top of all that, I DID the math, but most likely Anno and Sadamoto did not, it wasn't necessary, and therefore the values I found out aren't necessarily mirrored in the series by consistent physical observations.
I mean, my calculations ARE correct (well, at least formally, I think) on a mathematical point of view, however, who gave two shits while making the show. Probably a thing that massive shouldn't be even able to move, probably it would fucking crush 10 meters width of soil under its feet, however.
But a little consistence can be traced: think about the first appearence of Unit 02: she was stored in an aircraft carrier, whose mass we can assume (Wikipedia) is 80'000'000 kg. With a rapid glance at some frames from that episodes, we can easily assume in that occasion Eva 02 is at her minimum height of 40 (or little more than that), making her 1'200 tons heavy. This means more or less a seventh of the total mass of the carrier, and this seems acceptable, even considering the effect the Unit has on the whole watercrafts when landing on them after a jump.
That's my two cents.
Please if you spot errors/inconsistences, or if you come up with a better guess, let me know.