User blog:ArbitraryNumbers/Filthy Frank: Falcon Punch

Introduction
So finally, Filthy Frank has a legitimately impressive and quantifiable feat that doesn't come from scaling to already existing fictional characters. In this one, Captain Falcon Falcon Punches Chin-Chin, and causes a massive nuke-like explosion.

Method 1: Explosion's height
In order to be classified as a "mountain", the mountains in the background should be around 300 m tall.

By angsizing...

2atan(atan(70/2)*(53/361)) = 0.445334964 radians, or 25.515813906874 degrees

Plugging 300 m in for the size and 25.515813906874 into this angsizing calculator for distance will get you 662.48 meters. Now I'm assuming that the explosion was dead center in the middle of... wherever this is. So it's 50% of that distance away from the camera.

662.48 / 2 = 331.24

Okay, so this means that the explosion was 331.24 meters away.

Now I just need to find the explosion's size.

Using the angsizing calculator to find size, I get 150 meters.

Going by, a 10 kiloton bomb has a mushroom cloud height of 6,000 meters.

6000 / 150 = 40

10 / 40 = .25, or 250 Tons of TNT - Multi-City Block level.

Or if we assume 1000 m for the mountain's height, then that means the distance from the mountain to the camera is 2208 m, so the explosion is 1104 m away.

So the height of the explosion is 499.94. That's awfully close to 500, so I'll round up to that.

6000 / 500 = 12

10 / 12 = .8333333, or 833 Tons of TNT - Multi-City Block level+.

Method 2: Airburst Radius.
So going by my previous methods, the explosion should be 150 m tall for the low end, and 500 m tall for the high end.

Y = ((x/0.28)^3)/1000

Y = yield (in megatons) x = radius (in kilometers)

((.150/0.28)^3)/1000 = 0.00015374453, or 153 Tons of TNT - Multi-City Block level.

((.500/0.28)^3)/1000 = 0.00569424198, or 5.7 Kilotons of TNT - Small Town level+.

Method 1: Cloud height
Low end:  250 Tons of TNT

High end:  833 Tons of TNT

Method 2: Airburst Radius
Low end:  153 Tons of TNT

High end:  5.7 Kilotons of TNT