Calc Inferno Cop - 3rd Destroy Finale

3:03
Earlier in the video at 1:56.

1:19
Claudia's causes a 3rd Destroy Finale and covers the world in light, turning everyone into Inferno Cop. The screen whites out and Inferno Cop notes how bright it is, and it covers the planet, so this should be pretty straight forward. The Sun has a lux of 100,000 and the Earth as a diameter of 12756.2km (12756200m).

L = -2.5 log I - 14.2
= -2.5 log 32,000 - 14.2
= -25.4628749

M(star) is the apparent magnitude of the light source
m= is the apparent magnitude of the sun (-26.73)
L(star) is the Luminosity
L= Luminosity of the sun (3.486*10^26)
d= Distance to the sun from earth (0.000004731537734207877 parsecs)
d(star)= distance to the light source

Click to expand...

--25.4628749 = -26.73 - 2.5log((L/3.846*10^26)(146000000000/(12756200))^2)

We'll go through this step by step...

146000000000/(384400000))^2) = 130997519
-25.4628749 - -26.73 = 130997519/((L/3.846*10^26)
1.2671251 = -2.5Log(130997519/((L/3.846*10^26))
1.2671251/-2.5 = (130997519/((L/3.846*10^26))
10^(-0.50685004) = (130997519/((L/3.846*10^26))
0.311279098 = (130997519/((L/3.846*10^26))
0.311279098 X (3.864*10e26) = 130997519
1.20278243e27/130997519 = 9.18171916e18 joules

Next to find the duration.
5.8 seconds.

E = 9.18171916e18 X 5.8
= 5.32539711e19 joules
= 12.728004565 gigatons

Let's also get the speed.

T = 12756200m/5.8s
= 2199344.83/340.29
= Mach 6463.14858

Final Results
3rd Destroy Finale (energy) = 12.728 gigatons
3rd Destroy Finale (speed) = Mach 6463.149