(Episode 15)
Strelizia bursts open the giant stone hynem seal to the Gran Crevasse (with help from the 9s). To make our work easier, the official diameter of a plantation is 3km, with a height of 1.2km.
There's a brief shot of different plantations being dwarved by the Grand Crevasse, and we can also get the thickness of the seal here too.
108 pixels = 3km (3000m)
1 pixel = 3000m/108 = 27.7777778m
27.7777778m X 67 = 1861.11111m
27.7777778m X 1193 = 33138.8889m
33138.8889m/2 = 16569.4444m
2038 pixels = 33138.8889m
1 pixel = 33138.8889m/2038 = 16.260495m
16.260495m X 359 = 5837.5177m
Volume as a spherical cap. This is the formula we will be using...
https://byjus.com/spherical-cap-volume-formulas/
V = π/3H^2(3R = H)
= π/3 X 5837.5177^2(3 X 16569.4444 - 5837.5177)
= 1565527663653m^3
The 9s fragment the seal so that Strelizia can break through. Fragmentation of rock is 8000000 joules/m^3, divided by 4 for each of them.
E = 1565527663653 X 8000000
= 1.25242213e19/4
= 3.13105532e18 joules
= 748.34018164435951803 megatons
For our mass, we'll go with a low end of sandstone (2323kg/m^3) and a high end of basalt (3011 kg/m^3)
(Low end)
M = 1565527663653 X 2323
= 3.63672076e15kg
(High end)
M = 1565527663653 X 3011)
= 4.7138038e15kg
Next up we need the distance the fragments travelled (it's a direct continuation of the same scene from the last shot taken, so one pixel would still be 16.260495m).
327 + 988 + 989 = 2304 pixels
16.260495m X 2304 = 37464.1805m
Lastly, we get ourselves the timeframe.
0.97 seconds. Red Strelizia also flew that distance, so we can get the speed of this as well.
T = 37464.1805m/0.97s
= 38622.8665/340.29
= Mach 113.499857
Now, let's get our energy.
(Low end)
KE = (0.5)mv^2
= (0.5) X 3.63672076e15 X 38622.8665^2
= 2.71249512e24 joules
= 648.30189292543025203 teratons
(High end)
KE = (0.5)mv^2
= (0.5) X 4.7138038e15 X 38622.8665^2
= 3.51585141e24 joules
= 840.30865439770559533 teratons
Final Results
The 9s fragment the seal (individual energy) = 748.340 megatons
Strelizia XX breaks through the Grand Crevasse (speed) = Mach 113.5
Strelizia XX breaks through the Grand Crevasse (energy - low end) = 648.302 teratons
Strelizia X breaks through the Grand Crevasse (energy - high end) = 840.309 teratons
From the looks of it Strelizia did the work actually upthrowing the seal into the sky, but even if the 9s were involved in sending it flying upwards, divided between the five of them thats still going to be over a hundred teratons each.
1 pixel = 3000m/108 = 27.7777778m
27.7777778m X 67 = 1861.11111m
27.7777778m X 1193 = 33138.8889m
33138.8889m/2 = 16569.4444m
1 pixel = 33138.8889m/2038 = 16.260495m
16.260495m X 359 = 5837.5177m
Volume as a spherical cap. This is the formula we will be using...
https://byjus.com/spherical-cap-volume-formulas/
V = π/3H^2(3R = H)
= π/3 X 5837.5177^2(3 X 16569.4444 - 5837.5177)
= 1565527663653m^3
The 9s fragment the seal so that Strelizia can break through. Fragmentation of rock is 8000000 joules/m^3, divided by 4 for each of them.
E = 1565527663653 X 8000000
= 1.25242213e19/4
= 3.13105532e18 joules
= 748.34018164435951803 megatons
For our mass, we'll go with a low end of sandstone (2323kg/m^3) and a high end of basalt (3011 kg/m^3)
(Low end)
M = 1565527663653 X 2323
= 3.63672076e15kg
(High end)
M = 1565527663653 X 3011)
= 4.7138038e15kg
Next up we need the distance the fragments travelled (it's a direct continuation of the same scene from the last shot taken, so one pixel would still be 16.260495m).
16.260495m X 2304 = 37464.1805m
Lastly, we get ourselves the timeframe.
T = 37464.1805m/0.97s
= 38622.8665/340.29
= Mach 113.499857
Now, let's get our energy.
(Low end)
KE = (0.5)mv^2
= (0.5) X 3.63672076e15 X 38622.8665^2
= 2.71249512e24 joules
= 648.30189292543025203 teratons
(High end)
KE = (0.5)mv^2
= (0.5) X 4.7138038e15 X 38622.8665^2
= 3.51585141e24 joules
= 840.30865439770559533 teratons
Final Results
The 9s fragment the seal (individual energy) = 748.340 megatons
Strelizia XX breaks through the Grand Crevasse (speed) = Mach 113.5
Strelizia XX breaks through the Grand Crevasse (energy - low end) = 648.302 teratons
Strelizia X breaks through the Grand Crevasse (energy - high end) = 840.309 teratons
From the looks of it Strelizia did the work actually upthrowing the seal into the sky, but even if the 9s were involved in sending it flying upwards, divided between the five of them thats still going to be over a hundred teratons each.
