This calc has been done by others, on this site and elsewhere, but I myself want to look over it...
Ryuko bursts through the Celestial Genesis Cocoon Planet's covering, creating a series of colossal holes in it (the cocoon is not one single layer, but multiple). How wide is the Celestial Genesis Cocoon Planet, and what's the distance between it and the Earth? Let's find our answer from the radius of the Earth.
R = (h/2) + c^2/(8h)
= (170/2) + 811^2/(8 X 170)
= 568.618382 pixels
The radius of the Earth is 6,371km.
568.618382 pixels = 6,371km
1 pixel = 6,371km/568.618382 = 11.2043511km
11.2043511km X 25 = 280.108777km
11.2043511km X 1226 = 13736.5344km
Now we have the size of the Cocoon, we can scale the size of the hole.
3658 pixels = 13736.5344km
1 pixel = 13736.5344km/3658 = 3.7552035km
3.7552035km X 535 = 2009.03387km (2009033.87m)
3.7552035km X 320 = 1201.66512km
3.7552035km X 110 = 413.072385km
Let's get the distance to the Earth (for later).
= 2.26439376 rad
= 129.74020560408127 degrees
Put that through the angscaler and we have a distance of 3221.7km. Next for the thickness. Thankfully, there's a way to directly scale from the sheets of the cocoon.
3298 pixels = 2009.03387km
1 pixel = 2009.03387km/3298 = 0.609167335km
0.609167335km X 14 = 8.52834269km (8528.34269m)
Let's work out the volume of the area parted, going from each segment of the cocoon.
557 pixels = 1201.66512km (1201665.12m)
1 pixel = 1201665.12m/557 = 2157.38801m
2157.38801m X 629 = 1356997.06m
2157.38801m X 678 = 1462709.07m
2157.38801m X 767 = 1654716.6m
2157.38801m X 848 = 1829465.03m
Volume of each part as a cylinder.
R = 2009033.87m/2
= 1004516.94m
V = πr^2h
= π X 1004516.94^2 X 8528.34269
= 2.70351663e16m^3
R = 1201665.12m/2
= 600832.56m
V = πr^2h
= π X 600832.56^2 X 8528.34269
= 9.67211463e15m^3
R = 1356997.06m/2
= 678498.53m
V = πr^2h
= π X 678498.53^2 X 8528.34269
= 1.23342384e16m^3
R = 1462709.07m/2
= 731354.535m
V = πr^2h
= π X 731354.535^2 X 8528.34269
= 1.43307999e16m^3
R = 1654716.6m/2
= 827358.3m
V = πr^2h
= π X 827358.3^2 X 8528.34269
= 1.83401031e16m^3
R = 1829465.03m/2
= 914732.515m
V = πr^2h
= π X 914732.515^2 X 8528.34269
= 2.24183038e16m^3
V = 2.70351663e16 + 9.67211463e15 + 1.23342384e16 + 1.43307999e16 + 1.83401031e16 + 2.24183038e16
= 1.04130726e17m^3
= 1.04130726000000005e+23cm^3
The mass of Life Fibers is unknown, so I'll be using the density of silk fabric/fibre, that being 1.31g/cm^3.
M = 1.04130726000000005e+23 X 1.31g
= 1.36411251e23g
= 1.36411251000000004e+20kg
So all that's done, let's get the kinetic energy, from when right before Ryuko hits the Cocoon until we first see the hole.
11 seconds and 19 frames is our timeframe.
T = 1s/24
= 41.6666667ms X 19
= 0.791666667s + 11s
= 11.7916667s
T = 1004516.94m/11.7916667s
= 85188.7155m/s
At long last, let's get our kinetic energy!
KE = (0.5)mv^2
= (0.5) X 1.36411251000000004e+20 X 85188.7155^2
= 4.94976221e29 joules
= 118.30215607074569562 exatons
While we're at it, let's also get the speed Ryuko flies into space.
21 seconds and 12 frames.
T = 41.6666667ms X 12
= 0.5s + 21s
= 21.5s
The distance to the cocoon is 3221.7km, and given the extra distance from the cocoon to Earth being 280.108777km, that gives us a total distance of 3501.80878km.
T = 3501.80878km/21.5s
= 162874.827/340.29
= Mach 478.635361
Final Results
Ryuko parts cocoon = 118.302 exatons
Ryuko flies into space = Mach 478.635
Ryuko bursts through the Celestial Genesis Cocoon Planet's covering, creating a series of colossal holes in it (the cocoon is not one single layer, but multiple). How wide is the Celestial Genesis Cocoon Planet, and what's the distance between it and the Earth? Let's find our answer from the radius of the Earth.
R = (h/2) + c^2/(8h)
= (170/2) + 811^2/(8 X 170)
= 568.618382 pixels
The radius of the Earth is 6,371km.
568.618382 pixels = 6,371km
1 pixel = 6,371km/568.618382 = 11.2043511km
11.2043511km X 25 = 280.108777km
11.2043511km X 1226 = 13736.5344km
Now we have the size of the Cocoon, we can scale the size of the hole.
1 pixel = 13736.5344km/3658 = 3.7552035km
3.7552035km X 535 = 2009.03387km (2009033.87m)
3.7552035km X 320 = 1201.66512km
3.7552035km X 110 = 413.072385km
Let's get the distance to the Earth (for later).
= 2*atan(3658/(813/tan(70/2)))
= 2.26439376 rad
= 129.74020560408127 degrees
Put that through the angscaler and we have a distance of 3221.7km. Next for the thickness. Thankfully, there's a way to directly scale from the sheets of the cocoon.
1 pixel = 2009.03387km/3298 = 0.609167335km
0.609167335km X 14 = 8.52834269km (8528.34269m)
Let's work out the volume of the area parted, going from each segment of the cocoon.
1 pixel = 1201665.12m/557 = 2157.38801m
2157.38801m X 629 = 1356997.06m
2157.38801m X 678 = 1462709.07m
2157.38801m X 767 = 1654716.6m
2157.38801m X 848 = 1829465.03m
Volume of each part as a cylinder.
R = 2009033.87m/2
= 1004516.94m
V = πr^2h
= π X 1004516.94^2 X 8528.34269
= 2.70351663e16m^3
R = 1201665.12m/2
= 600832.56m
V = πr^2h
= π X 600832.56^2 X 8528.34269
= 9.67211463e15m^3
R = 1356997.06m/2
= 678498.53m
V = πr^2h
= π X 678498.53^2 X 8528.34269
= 1.23342384e16m^3
R = 1462709.07m/2
= 731354.535m
V = πr^2h
= π X 731354.535^2 X 8528.34269
= 1.43307999e16m^3
R = 1654716.6m/2
= 827358.3m
V = πr^2h
= π X 827358.3^2 X 8528.34269
= 1.83401031e16m^3
R = 1829465.03m/2
= 914732.515m
V = πr^2h
= π X 914732.515^2 X 8528.34269
= 2.24183038e16m^3
V = 2.70351663e16 + 9.67211463e15 + 1.23342384e16 + 1.43307999e16 + 1.83401031e16 + 2.24183038e16
= 1.04130726e17m^3
= 1.04130726000000005e+23cm^3
The mass of Life Fibers is unknown, so I'll be using the density of silk fabric/fibre, that being 1.31g/cm^3.
M = 1.04130726000000005e+23 X 1.31g
= 1.36411251e23g
= 1.36411251000000004e+20kg
So all that's done, let's get the kinetic energy, from when right before Ryuko hits the Cocoon until we first see the hole.
T = 1s/24
= 41.6666667ms X 19
= 0.791666667s + 11s
= 11.7916667s
T = 1004516.94m/11.7916667s
= 85188.7155m/s
At long last, let's get our kinetic energy!
KE = (0.5)mv^2
= (0.5) X 1.36411251000000004e+20 X 85188.7155^2
= 4.94976221e29 joules
= 118.30215607074569562 exatons
While we're at it, let's also get the speed Ryuko flies into space.
T = 41.6666667ms X 12
= 0.5s + 21s
= 21.5s
The distance to the cocoon is 3221.7km, and given the extra distance from the cocoon to Earth being 280.108777km, that gives us a total distance of 3501.80878km.
T = 3501.80878km/21.5s
= 162874.827/340.29
= Mach 478.635361
Final Results
Ryuko parts cocoon = 118.302 exatons
Ryuko flies into space = Mach 478.635
