원본 링크: http://www.reddit.com/r/Diablo/comments/21tlvk/i_calculated_the_radius_and_mass_of_the_black/
외국 쓰레드 싸이트 "레딧"에서 마법사 블랙홀 스킬의 성질을 계산했다네요 ㄷㄷㄷ;; 덕중의 덕은 양덕이라나 뭐라나;;;
영어되는 이과생들 ㄱㄱ~
I took videos of all the runes and recorded the time it took for a unit to move a certain distance. Here is a video of it. The spell sucks in units from 12 yards away. I used the rune that increases the range to 20 yd. I averaged 5 runs together of the unit at 12 seconds get sucks in on the left side of the screen, assuming he is at the outer edge, as the guy right next to him is not sucked in, I took this to be the outside radius of the hole. This is the time to go 20 yards from the force of the black hole.
20yd/1.92s=9.525 m/s
took 1.92s to do, so divide by time again:
acceleration=4.961m/s2
F=ma
Assumed the unit I sucked was a skeleton warrior, which there are some in the video. Googling the following numbers (very rough)
Mass of a sword: 2.3 kg
Mass of a shield: 2.3 kg
mass of bones: 9 kg
mass of accessories (boots, clothing, extra garments): 5 kg
total mass: 18.6 kg
F=4.961 m/s2 * 18.6 kg = 92.3 N.
force of gravitational attraction: F=(G * m1 * m2)/r2
solving for m2= (F * r2 )/(G * m1)
m2= (92.6* 18.292 )/(6.67*10-11 * 18.6) note 20yd=18.29 meters
m2= 2.4889 * 1013 kg.( Mass of black hole)
using the Schwarszchild radius formula r=(2* G* M)/c2
the radius of the black hole is 3.688 * 10 -14 m
which is 37 femtometers where a femtometer is about the radius of a proton thanks /u/purified_water.
So this is why you don't actually see a black hole with red shifting, its on par with the size of an atom!
tl;dr black hole in D3 is about 4 times the size of an atom, at the mass of 2.4889 * 1013 kg, which is only 33.8 billionths of the mass of the moon, i.e., not very heavy.
Note: wild approximations and assumptions.
edit: i've added the tidal force.
F= G * m1 * m2/(r-R)2
letting the distance between the black hole and the skelton warrior be 1 meter, then the force he feels is 30878 N.
F=ma, so the acceleration he feels is F/m, or 1687 m/s2 compared to the 10m/s2 gravitational pull here on earth. This would pull him apart pretty good.
최고 인기 답글:
So, if the Wizard creates a black hole with a mass of 2.4889x1013 kg, the rest energy mc² of that mass would be 2.2369x1030 joules. The Wizard does this using 20 arcane power, which generates at a base rate of 10 AP/sec, meaning it takes 2 seconds to produce enough energy to create one of these black holes.
This places the Wizard's power at 1.1185x1030 watts, or about 3000 times as much as the sun.
Hence, each Wizard burns with the fury of a thousand suns. Three thousand, in fact.
네, 법사는 삼천태양의 불타는 힘을 휘두르는 겁니다;;
Pakken