Calc MAHARI YUWARE GAAIE SABANARE! (Promare)

Lio Fotia gets mad. The rest is history. This is gonna take a lot of scaling, so hold on...

1. Lio's volcanic eruption
Earlier in the film, we get a shot of Lio near the volcano with the face on it. Given Promare is set in an alternate America, we'll go with the average height of an American man, that being 5 feet 9 inches, or 1.7526m.
15 + 12 = 27
27 pixels = 1.7526m
1 pixel = 1.7526m/27 = 0.0649111111m
0.0649111111m X 1346 = 87.3703555m
0.0649111111m X 68 = 4.41395555m

The volcano does seem to change in shape a bit with the animation style, but given that's the best we have to go with, let's go with it.
175 pixels = 87.3703555m
1 pixel = 87.3703555m/175 = 0.499259174m
0.499259174m X 2880 = 1437.86642m
1437.86642m/2 =
0.499259174m X 1691 = 844.247263m
844.247263m/2 = 422.123631m
0.499259174m X 442 = 220.672555m
220.672555m/2 = 110.336277m
0.499259174m X 803 = 400.905117m
0.499259174m X 1556 = 776.847275m

object degree size = 2*atan(Object_Size/(Panel_Height/tan(70/2)))

Click to expand...

= 2*atan(175/(1556/tan(70/2)))
= 0.106477149 rad
= 6.10069125230074683 degrees

Once again refering to our old friend the angscaler, we can determine that the volcano peak is 819.78m.
0.499259174m X 1182 = 590.124344m
590.124344m/2 = 295.062172m
0.499259174m X 2659 = 1327.53014m
1327.53014m/2 = 663.76507m

Volume as an ellipsoid.

V = 4/3πabc
= 4/3 X π X 295.062172 X 663.76507 X 663.76507
= 544541437m^3

Weight of lava/magma (or the mantle) is 3300kg/m^3.

The timeframe is 0.57 seconds. Next for the speed and kinetic energy.

T = 663.76507m/0.57s
= 1164.50012m/s

KE = (0.5)mv^2
= (0.5) X 1796986742100 X 1164.50012^2
= 1.2184114e18 joules

Next to do the lava eruption that follows and covers everything. First, to take away the distance to the explosion.

L = 819.78m - 663.76507m
= 156.01493m
Timeframe is 0.45 seconds.

T = 156.01493m/0.45s
= 346.699844m/s

KE = (0.5)mv^2
= (0.5) X 1796986742100 X 346.699844^2
= 1.07999606e17 joules

Finally, let's add them all together to get our final result.

E = 1.2184114e18 + 1.07999606e17
= 1.32641101e18 joules
= 317.01983986615681488 megatons

2. Lio swims to Promepolis
Lio's Burnish Dragon swims through the ground to Promepolis, and gets noticably closer. We can scale the distance travelled from the Foresight Foundation tower. Once again using the average American height for Galo (1.7526m).
232 pixels = 1.7526m
1 pixel = 1.7526m/232 = 0.00755431034m
0.00755431034m X 1440 = 10.8782069m
132 pixels = 10.8782069m
1 pixel = 10.8782069m/132 = 0.0824106583m
0.0824106583m X 1042 = 85.8719059m
173 pixels = 85.8719059m
1 pixel = 85.8719059m/173 = 0.496369398m
0.496369398m X 409 = 203.015084m

Jeez that's a ridiculously huge tower. Anyway, onto scaling.

object degree size = 2*atan(Object_Size/(Panel_Height/tan(70/2)))

Click to expand...

= 2*atan(9/(1617/tan(70/2)))
= 0.00527436314 rad
= 0.30219874754211817347 degrees

Promepolis is 38491m away.
Timeframe is 2 seconds.

object degree size = 2*atan(Object_Size/(Panel_Height/tan(70/2)))

Click to expand...

= 2*atan(8/(1617/tan(70/2)))
= 0.00468832507 rad
= 0.26862123949704258541 degrees

The Foresight Foundation tower is now 43302m away.

D = 43302m - 38491m
= 4811m/340.29
= Mach 14.1379412

Final Results
Lio's volcanic eruption = >317.0198 megatons
Burnish Dragon swims towards Promepolis = Mach 14.138