User blog:DMUA/Track Down: LAND explodes, many fools tank it directly to the face, and big robots aren't slow robots

Requested by User:ShatteredNightMares on Discord

LAND explodes


So, the X99-LAND explodes a majority of North America, from Canada to Mexico, a blast radius of about 1812 KM.

Since this is airborne, ((1812/.28)^3)/2 makes for a yield of 135509733236 Kilotons, 135.509733236 Teratons, Large Country level

Of course, not everyone took this point blank. In fact, many stood quite far away from the blast as it happened.

VALOR and EEL were around the city (the pink dot on the map) when it went off, and the main protagonist, Tony, was standing 3 KM away.

Robo bois
So, the robots were around the city, and the city is... well, to find the distance from the blue dot of an epicenter, Pythagoras once again T poses into the fray (T standing for triangle, of course)

The explosion itself is about 291 pixels, A is 45 pixels, B is 97 pixels. Both of those squared, added together, then unsquared, is 106.929883569 pixels, a discrepancy of 0.36745664456, making the distance proper about 1331662.87989 meters.

Now, to use inverse square law, we first find how much punch is in each Square Meter of the blast from this range.

4π((1331662.87989m)^2) makes for a blast absorption area of 2.228427213+13 m^2. 135509733236000 tons divided by 2.228427213e+13 makes for 6.08095846458 Tons per Square Meter

Now, we need the cross sectional area of the robots to find out how many square meters they had to actually get hit with.

The official height for VALOR and EEL is 498 feet and 612 feet respectively, or 151.7904 and 186.538 meters.

VALOR is about 240 pixels in length and 15 meters in radius, while EEL is 23.5 pixels in radius, and 297 pixels in height. This discrepancy of 0.0625 and 0.07912457912 respectively makes their radius 9.4869 and 14.75970909089616 meters.

Now, these robots are mostly cylindrical, and the surface area of a cylinder is 2 times pi times radius times height+2 times pi times radius^2. In this case, that would make the surface area 11684.6425733 and 18667.9443888. Cross sectional area is half that, 5842.32128667 and 9333.97219441 meters squared.

Now, multiplying this by the Tons per Square Meters gets a dura of...

VALOR: 35526.913081 Tons, 35.526913081 Kilotons, Town level

EEL: 56759.4972238 Tons, 56.7594972238 Kilotons, Town level+

Manditory SAO Tabletop comment

Then again, this doesn't really scale to their AP, as they don't go into a fistfight with anyone who can harm them physically.

Tony
Tony was 3 KM away, so, 4π((3000)^2) gets a blast spread of 113097335.529 meters squared. 135509733236000 Tons divided by 113097335.529 gets 1198169.10453 Tons per meter squared

Now, Tony is an actual human, so I can use this with his official measurements to find surface area.

Using 6 feet and 136 pounds gets a surface area of 1.74 meters, so, that times 1198169.10453 gets us...

2084814.24188 Tons, 2.08481424188 Megatons, Small City level

S A O T A B L E T O P

Big Bois are fast bois
Now, we also got official weights of VALOR and EEL, being 939,702 Ibs and 1,917,796 Ibs respectively, which translates to 426241.6573 and 869897.632817 Kilograms. Let's employ that with their stated speeds.

VALOR Fastboiness
VALOR travels at over mach 5, 1715 meters per second.

So, .5 times 426241.6573 times 1715^2 is...

626836309246 Joules, 149.817473529 Tons, Multi City Block level

EEL Fasterboiness
EEL travels at 10 times that speed, Mach 50, 17150 meters per second.

So, .5 times 869897.632817 times 17150^2 is....

1.2792823e+14 Joules, 30.5755815617 Kilotons, Town level

S A  O  T  A  B  L  E  T  O  P

LAND explodes
135509733236 Kilotons, 135.509733236 Teratons, Large Country level

Robobois tank it
VALOR: 35526.913081 Tons, 35.526913081 Kilotons, Town level

EEL: 56759.4972238 Tons, 56.7594972238 Kilotons, Town level+

Tony takes it
2084814.24188 Tons, 2.08481424188 Megatons, Small City level

Robot fastbois
VALOR: 626836309246 Joules, 149.817473529 Tons, Multi City Block level

EEL: 1.2792823e+14 Joules, 30.5755815617 Kilotons, Town level