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Symphogear G - Trillions upon trillions of joules

Published by TTGL in the blog TTGL's blog. Views: 41

There's a few good feats from Symphogear G. To start with...

The Symphogears channel the songs of the people of the world, punch Nephilim in the face and create a huge cyclone of energy into space in the span of a second. The diameter of the Earth is 12,756.2km.

= 2*atan(336/(1434/tan(70/2)))
= 0.221133154 rad
= 12.6699964346479081 degrees

Enter that through the angscaler and we have a distance of 57450km.
Spoiler:


Timeframe is 1 second.

T = 57450km/1s
= 57450000/299792458 X 100
= 19.1632573% C

Pretty good all in all. Next up...

The Frontier's hand reaches up and grabs the Moon. The Moon is 384,400km away from the Earth.
Spoiler:


Timeframe is 5 seconds.

T = 384,400km/5s
= 76880000/299792458 X 100
= 25.6444076% C

Finall for the dustclouds created when the giant hand hits the Moon. Diameter of the Moon is 3474.8km.
Spoiler:


Timeframe is 2 seconds.

1031 pixels = 3474.8km
1 pixel = 3474.8km/1031 = 3.37032008km (3370.32008m)
3370.32008m X 105 = 353.883608km (353883.608m)
353883.608m/2 = 176941.804m
3370.32008m X 240 = 808876.819m
3370.32008m X 246 = 829098.74m
3370.32008m X 121 = 407808.73m
407808.73m/2 = 203904.365m
3370.32008m X 262 = 883023.861m
3370.32008m X 113 = 380846.169m
380846.169m/2 = 190423.084m
3370.32008m X 350 = 1179612.03m
3370.32008m X 129 = 434771.29m
434771.29m/2 = 217385.645m
3370.32008m X 337 = 1135797.87m
3370.32008m X 88 = 296588.167m
296588.167m/2 = 148294.084m
3370.32008m X 399 = 1344757.71m
1344757.71m/2 = 672378.855m
3370.32008m X 240 = 808876.819m
808876.819m/2 = 404438.41m
3370.32008m X 204 = 687545.296m
687545.296m/2 = 343772.648m
343772.648m/2 = 171886.324m
3370.32008m X 97 = 326921.048m
326921.048m/2 = 163460.524m
3370.32008m X 297 = 1000985.06m
1000985.06m/2 = 500492.53m
3370.32008m X 381 = 642045.975m
642045.975m/2 = 321022.987m

Volumes of the 3 on the left as ellipsoids and the other 5 as cones.

V = πr^2h/3
= π X 176941.804^2 X 808876.819/3
= 2.65199016e16m^3

V = πr^2h/3
= π X 829098.74^2 X 203904.365/3
= 1.46780259e17m^3

V = πr^2h/3
= π X 883023.861^2 X 190423.084/3
= 1.55486644e17m^3

V = πr^2h/3
= π X 1179612.03^2 X 217385.645/3
= 3.16765493e17m^3

V = πr^2h/3
= π X 1135797.87^2 X 148294.084/3
= 2.00333945e17m^3

V = 4/3πabc
= 4/3 X π X 672378.855 X 404438.41 X 404438.41
= 4.60688579e17m^3

V = 4/3πabc
= 4/3 X π X 171886.324 X 163460.524 X 163460.524
= 1.92378133e16m^3

V = 4/3πabc
= 4/3 X π X 500492.53 X 321022.987 X 321022.987
= 2.1605209e17m^3

V = 2.65199016e16m^3 + 1.46780259e17m^3 + 1.55486644e17m^3 + 3.16765493e17m^3 + 2.00333945e17m^3 + 4.60688579e17m^3 + 1.92378133e16m^3 + 2.1605209e17m^3
= 1.54186473e18m^3

Weight of a dustcloud is 1.003kg/m^3.

M = 1.54186473e18 X 1.003
= 1.54649032e18kg

T = 642045.975m/2s
= 321022.987m/s

At last, for our kinetic energy.

KE = (0.5)mv^2
= (0.5) X 1.54649032e18 X 321022.987^2
= 7.96873662e28 joules

That's not all though; the Moon visibly rocks when the hand grabs it, considerably in the space of just a frame. First off, we need the radius of the Moon (that being 1737.4km) from it's curvature.


R = (h/2) + c^2/(8h)
= (253/2) + 2250^2/(8 X 253)
= 2627.73518

2627.73518 pixels = 1737.4km
1 pixel = 1737.4km/2627.73518 = 0.661177737km
Spoiler:


0.661177737km X 374 = 247.280474km
0.661177737km X 396 = 261.826384km
261.826384km - 247.280474km = 14.54591km

T = 1s/25
= 14.54591km/40ms
= 363647.75m/s

Weight of the Moon is 7.35e22kg.

KE = (0.5)mv^2
= (0.5) X 7.35e22 X 363647.75^2
= 4.85980846e33 + 7.96873662e28
= 4.85988815e33 joules
= 1.1615411448374759473 yottatons

Final Results
Symphogear's cyclone = 19.1632573% C
Frontier hand reaches to the Moon = 25.6444076% C
Frontier hand whacks the Moon = 1.162 yottatons
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