Calc Big World Burnup (Promare)

Calculations

A group of Burnish cause a volcanic eruption so powerful that not only does it reach space, it noticably parts the clouds for hundreds of miles around. Gonna be lots of scaling here...

The Earth has a radius of 6371km.
9lZWERY.png
ac6b6294509876e4bb09d25bebf54ea34afde11c

R = (h/2) + c^2/(8h)
= (170/2) + 3202^2/(8 X 170)
= 7623.82647 pixels

7623.82647 pixels = 6371km
1 pixel = 6371km/7623.82647 = 0.835669598km (835.669598m)

Now we have a method to scale, time to get to scaling...
mONMOYe.png
835.669598m X 594 = 496387.741m
496387.741m/2 = 248193.87m
835.669598m X 109 = 91087.9862m
91087.9862m/2 = 45543.9931m
835.669598m X 815 = 681070.722m
681070.722m/2 = 340535.361m
835.669598m X 241 = 201396.373m
201396.373m/2 = 100698.186m
835.669598m X 707 = 590818.406m
590818.406m/2 = 295409.203m
835.669598m X 215 = 179668.964m
179668.964m/2 = 89834.482m
835.669598m X 355 = 296662.707m
296662.707m/2 = 148331.353m
835.669598m X 38 = 31755.4447m
31755.4447m/2 = 15877.7224m
835.669598m X 445 = 371872.971m
371872.971m/2 = 185936.486m
835.669598m X 41 = 34262.4535m
34262.4535m/2 = 17131.2268m
835.669598m X 337 = 281620.655m
281620.655m/2 = 140810.328m
835.669598m X 32 = 26741.4271m
26741.4271m/2 = 13370.7136m
835.669598m X 1007 = 841519.285m
841519.285m/2 = 420759.643m
835.669598m X 17 = 14206.3832m
14206.3832m/2 = 7103.1916m
835.669598m X 362 = 302512.394m
302512.394m/2 = 151256.197m
835.669598m X 63 = 52647.1847m
52647.1847m/2 = 26323.5923m

A nimbostratus cloud usually has a thickness of 2000m. Volume of them all as ellipsoids.

V = 4/3πabc
= 4/3 X π X 248193.87 X 45543.9931 X 1000
= 4.7348995e13m^3

V = 4/3πabc
= 4/3 X π X 340535.361 X 100698.186 X 1000
= 1.43639033e14m^3

V = 4/3πabc
= 4/3 X π X 295409.203 X 89834.482 X 1000
= 1.11161833e14m^3

V = 4/3πabc
= 4/3 X π X 148331.353 X 15877.7224 X 1000
= 9.86528809e12m^3

V = 4/3πabc
= 4/3 X π X 185936.486 X 17131.2268 X 1000
= 1.33426377e13m^3

V = 4/3πabc
= 4/3 X π X 26741.4271 X 13370.7136 X 1000
= 1.49771016e12m^3

V = 4/3πabc
= 4/3 X π X 420759.643 X 7103.1916 X 1000
= 1.25191896e13m^3

V = 4/3πabc
= 4/3 X π X 151256.197 X 26323.5923 X 1000
= 1.66781142e13m^3

V = 4.7348995e13 + 1.43639033e14 + 1.11161833e14 + 9.86528809e12 + 1.33426377e13 + 1.49771016e12 + 1.25191896e13 + 1.66781142e13
= 356052800750000m^3

Density of a cloud is 1.003kg/m^3.

M = 356052800750000 X 1.003kg
= 3.57120959e14kg

With all that done, we'll find the distance the clouds were pushed.
SrRNSdy.png
835.669598m X 508 = 424520.156m

With our mass and speed, we can get our timeframe, and from our timeframe? Our kinetic energy.
lgOWEre.png

1Dgj2xT.png
Timeframe is 2 seconds and 22 frames frames.

T = 1s/24
= 41.6666667ms + 2s
= 2.04166667s

T = 424520.156m/2.04166667s
= 207928.239m/s

KE = (0.5)mv^2
= (0.5) X 3.57120959e14 X 207928.239^2
= 7.71991101e24 joules
= 1.8451030138623327748 petatons

Now, there is but one more step; to count the number of Burnish who fuelled the eruption.
vuapl6f.png
19 Burnish.

E = 7.71991101e24/19
= 4.06311106e23 joules
= 97.110684990439779085 teratons

That's not all...the Promare Hyper Fire Storyboard Book refers to this as magma.
DkCG89c.png
A group of monk-like Burnish
Somewhere unexplored
Night

Send fire to the volcano

Prompting an eruption
eruption. For BG Hi-Con. Dark in front. PAN
The magma climbs into the sky
Add more PAN

Camera from orbit
Magma extending into space

Like a prominence
It seems to act like Burnish flames in the movie itself (which is interdimensional nuclear activity), but the Promare messing with the Earths magma is core to the plot of Promare, so it's still worth keeping in mind.
fHhNWBb.png
835.669598m X 357 = 298334.046m
298334.046m/2 = 149167.023m
835.669598m X 204 = 170476.598m
170476.598m/2 = 85238.299m

Volume as an ellipsoid (I can't be bothered with doing all the pointy bits).

V = 4/3πabc
= 4/3 X π X 85238.299 X 85238.299 X 149167.023
= 4.53974e15m^3
https://www.usu.edu/geo/shervais/G4500_PDF/45Week1B_Magmas.pdf
Rhyolitic magma weighs 2.18g/cm^3 (or 2180kg/m^3) at minimum.

M = 4.53974e15 X 2180kg
= 9.8966332e18kg

KE = (0.5)mv^2
= (0.5) X 9.8966332e18 X 207928.239^2
= 2.13936275e29 joules
= 51.131996892925435816 exatons

Finally, let's divide this by the number of cultists again (that being 19).

E = 2.13936275e29 joules/19
= 1.12598039e28 joules
= 2.6911577198852771886 exatons

Final Results
Burnish volcano eruption (low end) = 1.845 petatons
Burnish volcano eruption (high end) = 51.132 exatons
Individual power of Burnish cultists (low end) = 97.111 teratons
Individual power of Burnish cultists (high end) = 2.691 exatons



And that's in the first four minutes. I knew there was something ridiculous in the Big World Burnup. :NOnon Would scale at the very least to Lio and Kray. On a final note; it's possible there are more unpictured Burnish around the volcano, but in order for this not to be an upgrade, there'd have to be around 10 million of them. Which I sincerely doubt there are in that specific location.

Comments

Added a high end for this calc (based on the Hyper Fire Storyboards refering to magma) and the high end is in the exatons (multi-continent level for individual cultists, moon level overall). :LioHype:
 

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