Calc Yu Yu Hakusho Feats - Dark Tournament Finals Collection

Calculations
80% Younger Toguro and Hiei's Physical Might
Toguro's Feat, Hiei's Feat and Aftermath

I just figured I'd start by getting Hiei's height with his hair included.

Qfe8cXj.png

Hiei = 462 pixels
Kurama = 471 pixels

Hiei/Kurama = 0.981

Kurama = 1.64 meters (he's 14 [a year before he met Yusuke], average height should be fair enough at a minimum)
Hiei = 1.61 meters

YEe3RxW.jpg

Hd7FnF3.jpg

Image 1

Hiei = 279 pixels
Hiei Crater Radius = 1209 pixels (kind of obvious when his crater expands so much it starts to overlap with Toguro's, yet we clearly don't see Toguro's anywhere on panel)

Hiei Crater Radius/Hiei = 4.333

Hiei Crater Radius = 6.976 meters
Hiei Crater Diameter = 13.952 meters

Volume = (2/3)PIr1^2r2

r1 = Hiei Crater Radius
r2 = Hiei Crater Radius/2

Hiei Crater Volume = 355.327 m^3

200 j/cc

Hiei's Physical Might = 71,065,400,000 joules or 16.985 tons

Image 2

Hiei Crater Radius = 425 pixels
Toguro Crater Radius = 822 pixels

Toguro/Hiei = 1.934

Toguro Crater Radius = 13.492 meters
Toguro Crater Diameter = 26.984 meters

Volume = (2/3)PIr1^2r2

r1 = Toguro Crater Radius
r2 = Toguro Crater Radius/2

Toguro Crater Volume = 2,570.617 m^3

200 j/cc

80% Younger Toguro's Physical Might = 514,123,400,000 joules or 122.878 tons
Yusuke Urameshi's Angst Reigan Speed
Yusuke is angsty Genkai died, heard her final message, and sent a Reigan into the sky that doesn't come down as a reply

Time frame is what exactly?

Koenma is clearly reacting to the Reigan after Yusuke fired it per the "!!" on the panel the Reigan can be seen in the sky compared to the island.

Why Koenma? He's the one closest to Yusuke and was already intently focused on him awed by the energy he was gathering. Following immediately after it was shot is the reaction long after it had climbed into the sky. By panel order of events, it makes the most sense for this to be a continuation of Koenma's observations

Now, a fucker might call foul that the explicit superhumans like Kuwabara, Hiei, Kurama, Toguro, and the "Beautiful" Suzuki don't notice it until long after climbing into the sky

That fucker would be stupid on account of the fact, unless a given Psychic is actively concentrating on the energies a fucker is deploying or gathering? They need to be in fairly close proximity to the person to notice (Kuwabara, particularly gifted with his 6th sense, only notices Yusuke's meditation upon entering their hotel room for example. During the fight between Toguro and Genkai? Only Yusuke [now roughly on 80% Toguro's level] noticed the start of the fight between Genkai and 45% Toguro. Hiei only noticed [who, relative to the battle, we don't know how close he is, and its arguable he only thought to extend his senses because the birds had been disturbed] once Toguro powered up to 80%. It took a clash between Yusuke and 80% Toguro with power beyond Yusuke's Cuffed Reigan [obvious by the fact the cuffed Reigan did fuck all to Toguro vs the punch shattering his hand] for Kuwabara to notice from the hotel)

And they're all over the fucking place doing shit on the island (close to the stadium especially as Suzuki was still in the infirmary for injuries and promised to be right back and we know Yusuke is by the Cave at the middle of the island while the stadium is all the way over to one of the sides) for training or whatever the hell Younger Toguro does for fun and relaxation while contemplating his next best fight

So there's no foul or reason to assume anyone is actively keeping tabs on Yusuke to react beyond normal human parameters because they're neither close enough to know to actively pay attention and are distracted by other things they're already doing (think what Bui did to distract Kurama and let Karasu get behind him)

So, that all established?

Calc time

jmBvjis.png

Island Parameters are here

Distance Between Rock Formations = 689 pixels
Reigan Travel = 1885 pixels

Reigan Travel/Distance Between Rock Formations = 2.736

Distance Between Rock Formations = 5,390.973 meters
Reigan Travel = 14,749.702 meters

Koenma Reaction Time (Low End) = 0.283 seconds (the recorded, if not skewed by tech average, here)
Koenma Reaction Time (Low Middle End) = 0.25 seconds (noted as average here)
Koenma Reaction Time (High Middle End) = 0.2 seconds (likewise as the middle end)
Koenma Reaction Time (High End) = 0.1 seconds (on the off chance he somehow qualifies for peak human [he doesn't])

Cuffed Yusuke Reigan Speed (Low End) = 52,119 m/s or mach 153.161
Cuffed Yusuke Reigan Speed (Low Middle End) = 58,999 m/s or mach 173.389
Cuffed Yusuke Reigan Speed (High Middle End) = 73,749 m/s or mach 216.724
Cuffed Yusuke Reigan Speed (High End) = 147,497 m/s or mach 433.445
Karasu's Full Body Explosion
Here Is The Feat

The Stadium Parameters can be found here

iMlJfoM.png

Stadium Radius = 453 pixels
Stadium Wall Thickness = 222 pixels
Inner Stadium Opening Width = 66 pixels
Outer Stadium Opening Width = 209 pixels

Stadium Wall Thickness/Stadium Radius = 0.49
Inner Stadium Opening Width/Stadium Radius = 0.146
Outer Stadium Opening Width/Stadium Radius = 0.461

Stadium Radius = 478.517/2 = 239.259 meters
Stadium Wall Thickness = 117.237 meters
Inner Stadium Opening Width = 34.932 meters
Outer Stadium Opening Width = 110.298 meters

Shape Volume = (((a+b)/2)*H)*h)/2

a = Inner Stadium Opening Width
b = Outer Stadium Opening Width
H = Stadium Wall Thickness
h = Stadium Wall Height

Karasu's Explosion Volume = 197,807.64 m^3

40 j/cc
208 j/cc

The values derived are from the fact he pulverized concrete and had to punch through the steel stadium exterior to have his explosion reach the outside

Karasu's Explosion Yield (Low End) = 7,912,305,600,000 joules or 1.891 kilotons
Karasu's Explosion Yield (High End) = 41,143,989,120,000 joules or 9.834 kilotons

All the same, Karasu's fought 80% Younger Toguro like Bui, Elder Toguro and lived.

So he's worth some decent percentage of Bui's performance vs Hiei anyway.
Hiei Vaporizes Bui's Axe
Here's the Feat
8RgRqtI.jpg

Hiei = 1176 pixels
Bui = 1812

Bui/Hiei = 1.541

Hiei = 1.61 meters (found above)
Bui = 2.481 meters

Now the Axe

l7Ay6m6.png
Yes, that took longer to do than I felt like doing

Bui = 482 pixels
Axe Head Length (Green Line) = 306 pixels
Axe Head Radius (Blue Line) = 142 pixels
Axe Head Top Width (Orange Line) = 142 pixels
Axe Head Thickness (Light Orange Line) = 34 pixels
Spike Length (Dark Brown Line) = 147 pixels
Spike Diameter (Light Blue Line) = 61 pixels
Axe Top Pommel Height (Purple Line) = 398 pixels
Axe Top Pommel Diameter (Yellow Line) = 89 pixels
Axe Bottom Pommel Height (Grey Line) = 225 pixels
Axe Bottom Pommel Diameter (Light Brown Line) = 30 pixels

Axe Head Length (Green Line)/Bui = 0.635
Axe Head Radius (Blue Line)/Bui = 0.295
Axe Head Top Width (Orange Line)/Bui = 0.295
Axe Head Thickness (Light Orange Line)/Bui = 0.071
Spike Length (Dark Brown Line)/Bui = 0.305
Spike Diameter (Light Blue Line)/Bui = 0.127
Axe Top Pommel Height (Purple Line)/Bui = 0.826
Axe Top Pommel Diameter (Yellow Line)/Bui = 0.185
Axe Bottom Pommel Height (Grey Line)/Bui = 0.467
Axe Bottom Pommel Diameter (Light Brown Line)/Bui = 0.062

Axe Head Length (Green Line) = 1.575 meters
Axe Head Radius (Blue Line) = 0.732 meters
Axe Head Diameter = 1.464 meters
Axe Head Top Width (Orange Line) = 0.732 meters
Axe Head Thickness (Light Orange Line) = 0.176 meters

Trapezoidal Triangular Prism = (0.5H(B1+B2)*R)/2

Axe Head Volume = 0.152 m^3

Spike Length (Dark Brown Line) = 0.757 meters
Spike Diameter (Light Blue Line) = 0.315 meters

Cone = (PIr^2*H)/3

Spike Volume = 0.0295 m^3

Axe Top Pommel Height (Purple Line) = 2.049 meters
Axe Top Pommel Diameter (Yellow Line) = 0.459 meters

Cylinder = PIr^2*H

Axe Top Pommel Volume = 0.339 m^3

Axe Bottom Pommel Height (Grey Line) = 1.159 meters
Axe Bottom Pommel Diameter (Light Brown Line) = 0.154 meters

Cylinder = PIr^2*H

Axe Bottom Pommel Volume = 0.0216 m^3

Steel Density = 7,850 kg/m^3

Total Axe Volume = 0.542 m^3

Axe Mass = 4,254.7 kilograms

Steel Vaporization Value: 60,117.42 j/cc

Hiei's Casual Heat Yield = 32,583,641,640 joules or 7.788 tons
End of the Dark Tournament Hiei's Dragon of the Darkness Flame
Here is the entirety of the feat and result

All the parameters for the stadium can be found here

Stadium Roof Diameter = 380.443 meters
Stadium Roof Height = 152.268 meters

Hemisphere = (2/3)PIr1^2r2

r1 = Roof Diameter/2
r2 = Roof Height

Stadium Roof Volume (Material + Empty Space) = 11,553,635.879 m^3

Let's find the hollow space now

Stadium Roof Thickness = 3.709 meters

Hemisphere = (2/3)PIr1^2r2

r1 = (Roof Diameter/2) - Roof Thickness
r2 = Roof Height - Roof Thickness

Stadium Roof Volume (Empty Space) = 10,818,156.084 m^3

Now subtract the two volumes for...

Total Roof Volume = 11,553,635.879 - 10,818,156.084 = 735,479.795 m^3

Hiei took out about 40%

Total Roof Destruction Volume = 294,191.918 m^3

Human Body Vaporization Value: 8,509.43 j/cc
Steel Melting Value: 7,309.87 j/cc
Steel Vaporization Value: 60,117.42 j/cc

Why these values?

Only once Bui redirects the Dragon does that 40% of the roof get destroyed like shown with this shit

Why these j/cc?

The human body value because the j/cc exerted on the roof should be no lesser than that was exerted from the dragon's ambient energy that was causing members of the audience to incinerate from passing over head

Hiei's much weaker heat has also demonstrated that it can melt/vaporize steel like the roofing would be made of

Doesn't hurt that no debris was left behind, and Toguro wasn't noted to clear any away when he replaced the Stadium Ring.

So

EoDT Hiei's Dragon of the Darkness Flame Yield (Low End) = 2,150,504,675,630,660 joules or 513.983 kilotons
EoDT Hiei's Dragon of the Darkness Flame Yield (Middle End) = 2,503,405,532,786,740 joules or 598.328 kilotons
EoDT Hiei's Dragon of the Darkness Flame Yield (High End) = 17,686,059,095,011,560 joules or 4.227 megatons
End of the Dark Tournament Yusuke's Cuffed and Final Reigan Blasts
So here is the First Feat and the Second Feat

Let's get to scaling

OX0tup3.png

Roof Diameter = 587 pixels
Cuffed Reigan Hole Diameter 1 = 44 pixels
Cuffed Reigan Hole Diameter 2 = 40 pixels
Slab Thickness = 32 pixels

Cuffed Reigan Hole Diameter 1/Roof Diameter = 0.075
Cuffed Reigan Hole Diameter 2/Roof Diameter = 0.0681

Slab Thickness/Roof Diameter = 0.0545

Roof Diameter = 380.443 meters (found here)
Cuffed Reigan Hole Diameter 1 = 28.533 meters
Cuffed Reigan Hole Diameter 2 = 25.908 meters
Stadium Wall Thickness = 117.237 meters (also found here)

Half Cylinderical Object Volume = (PIr1r2*H)/2

r1 = Cuffed Reigan Hole Diameter 1/2
r2 = Cuffed Reigan Hole Diameter 2/2
H = Stadium Wall Thickness

Cuffed Reigan Destruction Volume = 34,016.191 m^3

And now a mass

Concrete Density = 2,400 kg/m^3

Cuffed Reigan Destruction Mass = 81,638,858.4 kilograms

Slab Thickness = 20.734 meters

Next

cKXwMKR.png

Stadium Radius = 236 pixels
Reigan Travel = 1346 pixels

Reigan Travel/Stadium Radius = 5.703

Stadium Radius = 239.259 meters (Diameter found here, just divide by 2)
Reigan Travel = 1,364.494 meters

This'll be used to get the speed so I can derive the KE of the mass the Cuffed Reigan punched through.

No, I can't just use the speed I derived for the Angst Reigan because that would be calc stacking

6E4ClIn.png

Kuwabara = 98 pixels
Ring = 1137 pixels

Ring/Kuwabara = 11.602

Kuwabara = 1.8 meters
Ring = 20.884 meters

zbF8mpA.png

Half Ring = 1000 pixels
Yusuke Minimum Height in Air = 883 pixels (as should be obvious, Yusuke was clearly sent into the sky off panel)
Ring Height = 106 pixels

Yusuke Minimum Height in Air/Half Ring = 0.883
Ring Height/Half Ring = 0.106

Half Ring = 10.442 meters
Yusuke Minimum Height in Air = 9.22 meters
Ring Height = 1.107 meters

Total Yusuke Fall Height = 9.22 + 1.107 = 10.217 meters

Time Frame = sqrt((2d)/g)

d = distance traveled
g = 9.8 m/s^2

Total Yusuke Free Fall Time = 1.444 seconds

That's obviously not the time frame though.

Why?

As you can see here and here, Yusuke has about little more than a meter or so to fall until he hits the ground (notice Yusuke in relation to debris about that size that already impacted the ground near his head).

The time frame I derived about just happens to be the total time Yusuke was in the air after Toguro punched the ring.

Thus, other than the last meter or so he has to fall? He's already fallen about 9.217 meters by the time he sent his Reigan at Toguro.

So?

Initial Yusuke Free Fall Time = 1.372 seconds

Total Time Frame of Reigan Travel = 0.072 seconds

Some might point to Yusuke twisting his body mid air as he falls and dragging his feet on the ground as meaning there's more to the time frame than this, but he mostly completes the flip as he hit the ground and how much he dragged his feet twisting further is negligible to account for. All he had left to drag was about 1/6th of a circumference while he'd already completed about 2/3rds of it in free fall.

Anyway?

Cuffed Yusuke's Reigan Speed = 18,951.306 m/s or mach 55.692

Ergo?

KE = 0.5mv^2

m = Cuffed Reigan Destruction Mass
v = Cuffed Yusuke's Reigan Speed

Cuffed Yusuke's Reigan Yield = 14,660,379,599,530,970 joules or 3.504 megatons

uahBG76.png

Top Panel

Slab Thickness = 52 pixels
Hole Diameter 1 = 431 pixels
Hole Diameter 2 = 448 pixels

Hole Diameter 1/Slab Thickness = 8.288
Hole Diameter 2/Slab Thickness = 8.615

Hole Diameter 1 = 171.843 meters
Hole Diameter 2 = 178.623 meters

Cylinder Volume = PIr1r2*H

r1 = Hole Diameter 1/2

r2 = Hole Diameter 2/2

H = Slab Thickness

Slab Destruction Volume = 499,599.478 m^3

Bottom Left Panel

Island Forest Diameter = 296 pixels
Reigan Travel = 726 pixels

Reigan Travel/Island Forest Diameter = 2.454

Island Forest Diameter = 7,371.554 meters (also found here)
Reigan Travel = 18,089.794 meters

So that covers the Slab and how far the final DT Reigan traveled, but how about blasting through the stadium wall?

3nZozVD.png

Stadium Diameter = 1614 pixels

Hole Diamter = 295 pixels

Hole Diameter/Stadium Diameter = 0.183

Stadium Diameter = 478.517 meters (also found here)
Hole Diameter = 87.569 meters

Well... that's a bit bigger than the wall is tall (granted, could be that the wall was drawn short in the full stadium shot I scaled the full stadium from, but for sake of internal consistency I'm not about to remeasure the stadium height using another scan)

Guess the final image serves to imply the hole extended into the roof.

So all I can really do for a "second diameter" is take the stadium wall height instead when finding the volume.

Volume = (PIr1r2*H)/2

r1 = Hole Diameter/2
r2 = Stadium Wall Height/2
H = Stadium Wall Thickness

Stadium Wall Destruction Volume = 187,258.58 m^3

Which lets us get a total volume

Total Destruction Volume = 499,599.478 + 187,258.58 = 686,858.058 m^3

Which let's us get a mass for the destruction volume

Both the slabs and the wall are composed of concrete

Concrete Density = 2,400 kg/m^3

Total Destruction Mass = 1,648,459,339.2 kilograms

Cool

Why did I find a mass though?

nun7YfG.png

Because the Reigan did need to push through and destroy the mass at whatever speed it was traveling at

Again, it would be calc stacking to use the speed I derived for the Cuffed Angst Reigan I derived above, so I'll be getting the speed within the actual feat I'm measuring and use that speed to get my KE

Anyway?

As you can see from the green circled areas, the Reigan shot plenty of debris back towards the arena, indicating projectile motion. The purple line attached to the purple circle even gives you an idea of the path of travel for one particular rock given the carnage it caused (you can clearly see as it shot outward that the 2 demons were entirely split in half by its trajectory). I will however be using the rock circled in circled in the blue within the red circled trajectory trail for my time frame, given it just landed (as indicated by the impact effect drawn underneath it like other rocks you can see just landed as well) and even has its trajectory charted by the pulzverized/vaporized wall debris trailing after it.

Anyway, for the time frame of this rock's flight?

Demon = 65 pixels
Vertical Distance = 65 pixels

Vertical Distance/Demon = 1

Demon = 1.7 meters
Vertical Distance = 1.7 meters

Honestly, I don't need to determine the horizontal distance of the stadium wall chunk. That thin red line mostly exists to determine the vertical distance of the chunk.

The time frame for projectile motion is determined by the vertical travel distance given its the axis subject to gravity.

The equation?

t = sqrt((2d)/g)

d = Vertical Distance
g = 9.8 m/s^2

Half Time Frame = sqrt((2(1.7))/9.8) = 0.589 seconds

I call it half the time frame as that only tells me how much time the rock is in the air until it hit the apex of its arc. You multiply that time frame by 2 in order to get the full time from the moment the chunk was launched until it landed again.

Full Reigan Travel Time Frame = 1.178 seconds

So, now I can solve the the Reigan's speed, which will tell me the speed at which the majority of the mass was being destroyed at so the Reigan could punch through both the wall and the slab

End of Dark Tournament Yusuke's Reigan Speed = 18,089.794/1.178 = 15,356.362 m/s or mach 45.127

KE = 0.5mv^2

End of Dark Tournament Yusuke's Reigan Yield = 194,368,071,785,208,600 joules or 45.455 megatons

Cool

80% Toguro is comfortably more powerful than Yusuke's cuffed self. 100% Toguro can flat out kiai an attack a good deal beyond Yusuke's cuffed Reigan. 100% over 100% Toguro is equal to Yusuke's final Reigan. Does end up killing his ass from pushing his limits though.

Final Tally

80% Younger Toguro and Hiei's Physical Might

Hiei's Physical Might = 16.985 tons

80% Younger Toguro's Physical Might = 122.878 tons

Yusuke Urameshi's Angst Reigan Speed

Cuffed Yusuke Urameshi's Reigan Speed (Low End) = 52,119 m/s
Cuffed Yusuke Urameshi's Reigan Speed (Low Middle End) = 58,999 m/s
Cuffed Yusuke Urameshi's Reigan Speed (High Middle End) = 73,749 m/s
Cuffed Yusuke Urameshi's Reigan Speed (High End) = 147,497 m/s

Karasu's Full Body Explosion

Karasu's Full Body Explosion Yield (Low End) = 1.891 kilotons
Karasu's Full Body Explosion Yield (High End) = 9.834 kilotons

Hiei Vaporizes Bui's Axe

Hiei's Casual Heat Yield = 7.788 tons

End of the Dark Tournament Hiei's Dragon of the Darkness Flame

End of Dark Tournament Hiei's Dragon of the Darkness Flame Yield (Low End) = 513.983 kilotons
End of Dark Tournament Hiei's Dragon of the Darkness Flame Yield (Middle End) = 598.328 kilotons
End of Dark Tournament Hiei's Dragon of the Darkness Flame Yield (High End) = 4.227 megatons

End of the Dark Tournament Yusuke's Cuffed and Final Reigan Blasts

Cuffed End of Dark Tournament Yusuke Urameshi's Reigan Yield = 3.504 megatons
Cuffed End of Dark Tournament Yusuke Urameshi's Reigan Speed = 18,951.306 m/s

End of Dark Tournament Yusuke's Reigan Yield = 45.455 megatons
End of Dark Tournament Yusuke's Reigan Speed = 15,356.362 m/s
About author
ChaosTheory123
I do high school physics for stupid shit because I find it fun for some ridiculous reason.

I'm neither a physicist or engineer. I study psychology.

Before taking me at my word, think for yourself and don't just appeal to the shit I'm posting without evaluating it yourself. That should go without saying. I'm not an expert, do not treat me like one.

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