4:07
Omni-Man destroys the Flaxan civilization, flying with such force that he creates a tremendous amount of kinetic energy, to the point he creates massive dust clouds visible from space. Let's get the timeframe of him darting between cities, then we can get to scaling.
T = 1s/24
= 41.6666667ms X 11
= 0.458333334s
For our low end and our high end, we'll use the smallest inhabitable planet and the Earth. To copy my workings from another calc I did,
according to this link, the smallest habitable planet would have 0.0268% the mass of the Earth (that being 6 x 10^24kg). That page also has a nice diagram, so we can scale the minimum size from that. The diameter of the Earth is 12756.2km.
1 pixel = 12756.2km/261 = 48.8743295km
48.8743295km X 114 = 5571.67356km
5571.67356km/2 = 2785.83678km
R = (h/2) + c^2/(8h)
= (56/2) + 1028^2/(8 X 56)
= 2386.89286 pixels
(Low end)
2386.89286 pixels = 2785.83678km
1 pixel = 2785.83678km/2386.89286 = 1.16713943km
(High end)
R = 12756.2km/2
= 6378.1km
2386.89286 pixels = 6378.1km
1 pixel = 6378.1km/2386.89286 = 2.67213502km
Now we have the scaling, let's get the timeframe for the creation of the dust cloud (and as a bonus, Omni-Man flying away from that city).
T = 41.6666667ms X 9
= 0.375s
Firstly, for his speed.
(Low end)
1.16713943km X 494 = 576.566878km (576566.878m)
1.16713943km X 544 = 634.92385km
1.16713943km X 45 = 52.5212743km
52.5212743km/2 = 26.2606372km (26260.6372m)
T = 576.566878km/0.458333334s
= 1257964.1/340.29
= Mach 3696.74131
T = 634.92385km/0.375s
= 1693130.27/340.29
= Mach 4975.55106
(High end)
2.67213502km X 494 = 1320.0347km (1320034.7m)
2.67213502km X 544 = 1453.64145km
2.67213502km X 45 = 120.246076km
120.246076km/2 = 60.123038km (60123.038m)
T = 1320.0347km/0.458333334s
= 2880075.7/340.29
= Mach 8463.59194
T = 1453.64145km/0.375s
= 3876377.2/340.29
= Mach 11391.3932
With our speeds in hand, we can now get our energy. Volume as a cylinder.
(Low end)
V = πr^2h
= π X 26260.6372^2 X 576566.878
= 1.24913703e15m^3
The density of a cloud is 1.003kg/m^3.
M = 1.24913703e15 X 1.003kg
= 1.25288444e15kg
KE = (0.5)mv^2
= (0.5) X 1.25288444e15 X 1257964.1^2
= 9.91328323e26 joules
= 236.93315559273423787 petatons
(High end)
V = πr^2h
= π X 60123.038^2 X 1320034.7
= 1.49905323e16m^3
M = 1.49905323e16 X 1.003kg
= 1.50355039e16kg
KE = (0.5)mv^2
= (0.5) X 1.50355039e16 X 2880075.7^2
= 6.23585198e28 joules
= 14.904043929254301474 exatons
Final Results
Omni-Man flies between cities (low end) = Mach 3696.741
Omni-Man flies between cities (high end) = Mach 8463.592
Omni-Man flies away from city (low end) = Mach 4975.551
Omni-Man flies away from city (high end) = Mach 11391.393
Omni-Man's trail of devastation (low end) = 236.933 petatons
Omni-Man's trail of devastation (high end) = 14.904 exatons
