Calc Panty & Stocking with Garterbelt - Instruments of destruction

Calculations


A giant Trans-Homer (which looks familiar for some reason, can't put my finger on it) appears and approaches the Earth.
SgqyZqY.jpg
Diameter of the Earth is 12756.2km.
GUSqaBK.jpg
246 pixels = 12756.2km
1 pixel = 12756.2km/246 = 51.8544715km
51.8544715km X 433 = 22452.9862km
22452.9862km/2 = 11226.4931km (11226493.1m)

That's one huge robot. Given its colossal size, it'll also be moving pretty fast.
ebvxvXn.png
170 pixels = 12756.2km
1 pixel = 12756.2km/170 = 75.0364706km
AjUPDET.png
Timeframe is 11 frames.

T = 1s/24
= 41.6666667ms X 11
= 0.458333334s

75.0364706km X 18 = 1350.65647km

T = 1350.65647km/0.458333334s
= 2946886.84/340.29
= Mach 8659.92783

Given we have its size and speed, we can also get its kinetic energy. Volume of its main body as a sphere (duh).

V = 4/3πr^3
= 4/3 X π X 11226493.1^3
= 5.92680926e21m^3

As per usual with machines, I'll use the mass of the light ship container vessel 2700TEUof 102.56kg/m^3 (which is probably a gargantuan low end, but the best I have for now).

M = 5.92680926e21 X 102.56
= 6.07853558e23kg

Finally, for the kinetic energy.

KE = (0.5)mv^2
= (0.5) X 5.92680926e21 X 2946886.84^2
= 2.57346268e34 joules
= 6.1507234225621409962 yottatons

Final Results
Giant Trans-Homer size (main body) = 22452.986km
Giant Trans-Homer approaches Earth (speed) = Mach 8659.928
Giant Trans-Homer approaches Earth (energy) = 6.151 yottatons

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