(Episode 24)
Yoko and Darry shoot some giant missiles, and knock them off their paths before they explode. I calced the dimensions of Super Galaxy Dai-Gurren previously in my Spiral Abyss calc, though unfortunately the images are gone after the PostImage crash of '18. Thankfully though it won't be hard to rescale. The Moon is 3472.8km in radius.
207 pixels = 3472.8km
1 pixel = 3472.8km/207 = 16.7768116km
16.7768116km X 56 = 939.50145km
323 pixels = 939.50145km
1 pixel = 939.50145km/323 = 2.90867322km
2.90867322km X 180 = 523.56118km
2.90867322km X 483 = 1404.88917km (1404889.17m)
Looking up different warheads, the one I found that was closest in shape to the Anti-Spiral missile was the V-2, which weighed 12500kg and was 14m long.
M2 = (H2/H1)^3*M1
= (1404889.17/14)^3 X 12500
= 1.26314178e19kg
Now that we have the mass of each missile we can find the speed at which they were knocked. Let's also get the speed for Yoko's bullets. Arc Gurren Lagann is described as being "several tens of kilometers" tall...
(The relevant part)
(Crappy translation)
= 0.0746944197 rad
= 4.279675001999448725 degrees
Enter those values through the angscaler and Yoko & Darry are 401.45km away.
The timeframe between Yoko firing and hitting the missile is 8 frames, and the timeframe for the missile getting knocked to the side is 1 frame. There are 24 frames in a second.
T = 1s/24
= 41.6666667ms X 8
= 401.45km/0.333333334s
= 1204350/340.29
= Mach 3539.18716
172 pixels = 523.56118km
1 pixel = 523.56118km/172 = 3.04396035km
3.04396035km X 154 = 468.769894km
T = 468.769894km/41.6666667ms
= 11250477.4m/s
Now for our energy, for which we enter those values through the reletavistic kinetic energy calculator, which yields a result of 8.002E+32 joules, or 191.25239005736136733 zettatons. Now for Darry shooting the other missile.
Timeframe is 14 frames.
T = 1s/24
= 41.6666667ms X 14
= 0.583333334s
211 pixels = 523.56118km
1 pixel = 523.56118km/211 = 2.48133261km
2.48133261km X 164 = 406.938548km
T = 406.938548km/0.583333334s
= 697608.939m/s
KE = (0.5)mv^2
= (0.5) X 1.26314178e19 X 697608.939^2
= 3.07359173e30 joules
= 734.60605401529639494 exotons
Final Results
Anti-Spiral missile size = 1404.88917km
Yoko shoots missile (speed) = Mach 3539.18716
Yoko shoots missile (energy) = 191.253 zettatons
Darry shoots missile = 734.606 exotons
Yoko and Darry shoot some giant missiles, and knock them off their paths before they explode. I calced the dimensions of Super Galaxy Dai-Gurren previously in my Spiral Abyss calc, though unfortunately the images are gone after the PostImage crash of '18. Thankfully though it won't be hard to rescale. The Moon is 3472.8km in radius.
1 pixel = 3472.8km/207 = 16.7768116km
16.7768116km X 56 = 939.50145km
1 pixel = 939.50145km/323 = 2.90867322km
2.90867322km X 180 = 523.56118km
2.90867322km X 483 = 1404.88917km (1404889.17m)
Looking up different warheads, the one I found that was closest in shape to the Anti-Spiral missile was the V-2, which weighed 12500kg and was 14m long.
M2 = (H2/H1)^3*M1
= (1404889.17/14)^3 X 12500
= 1.26314178e19kg
Now that we have the mass of each missile we can find the speed at which they were knocked. Let's also get the speed for Yoko's bullets. Arc Gurren Lagann is described as being "several tens of kilometers" tall...
...and the Space Grapearls aren't that far behind, it would be a fair assumption that Darry's Space Grapearl is at least 30km tall.Work Soul said:
= 2*atan(47/(596/tan(70/2)))
= 0.0746944197 rad
= 4.279675001999448725 degrees
Enter those values through the angscaler and Yoko & Darry are 401.45km away.
T = 1s/24
= 41.6666667ms X 8
= 401.45km/0.333333334s
= 1204350/340.29
= Mach 3539.18716
172 pixels = 523.56118km
1 pixel = 523.56118km/172 = 3.04396035km
3.04396035km X 154 = 468.769894km
T = 468.769894km/41.6666667ms
= 11250477.4m/s
Now for our energy, for which we enter those values through the reletavistic kinetic energy calculator, which yields a result of 8.002E+32 joules, or 191.25239005736136733 zettatons. Now for Darry shooting the other missile.
T = 1s/24
= 41.6666667ms X 14
= 0.583333334s
211 pixels = 523.56118km
1 pixel = 523.56118km/211 = 2.48133261km
2.48133261km X 164 = 406.938548km
T = 406.938548km/0.583333334s
= 697608.939m/s
KE = (0.5)mv^2
= (0.5) X 1.26314178e19 X 697608.939^2
= 3.07359173e30 joules
= 734.60605401529639494 exotons
Final Results
Anti-Spiral missile size = 1404.88917km
Yoko shoots missile (speed) = Mach 3539.18716
Yoko shoots missile (energy) = 191.253 zettatons
Darry shoots missile = 734.606 exotons
