Calc One Piece Feats - Jaya/Skypiea Collection

Calculations
Enel's El Thor

Here is the feat

nFwjAXu.png

Nami = 11 pixels
Tree Diameter 1 = 256 pixels
Tree Diameter 2 = 456 pixels
Tree Height = 656 pixels
Crater Depth = 70 pixels
Crater Diameter = 245 pixels

Tree Diameter 1/Nami = 23.272
Tree Diameter 2/Nami = 41.455
Tree Height/Nami = 59.636
Crater Depth/Nami = 6.364
Crater Diameter/Nami = 22.272

Nami = 1.69 meters (here)
Tree Diameter 1 = 39.33 meters
Tree Diameter 2 = 70.059 meters
Tree Height = 100.785 meters

Volume = PIr1r2*H

r1 = (Tree Diameter 1)/2
r2 = (Tree Diameter 2)/2
H = Tree Height

Tree Volume = 217,998.466 m^3

Crater Depth = 10.755 meters
Crater Diameter = 37.64 meters

Volume = PIr^2*H

r = Crater Diameter/2
H = Crater Depth

Crater Volume = 11,961.325 m^3

Total Destruction Volume = 229,959.791 m^3


So, let's figure out a j/cc here for the incineration of this volume.

So, given these are living trees, I'll treat them as green wood.

Red Oak Green Wood Heat Value (Btu/cord) = 16,800,000 Btu/cord

1 Btu = 1,055.06 joules

Red Oak Green Wood Heat Value (joules/cord) = 17,725,008,000 joules/cord

I need the joules/kg though, so I'll divide this by Red Oak's 1,692 kg/cord

Red Oak Green Wood Heat Value (joules/kg) = 10,475,773.05 joules/kg

Given I'm using Red Oak, multiply this by 708 and then divide by 1,000,000 for the j/cc of...

7,416.847 j/cc

Which gives us an energy when multiplied by the tree's mass of...

Enel's El Thor Yield = 1,705,576,585,998,977 joules or 407.642 kilotons

Wyper's Burn Bazooka

Here's the feat

GlukIg3.png

Luffy = 44 pixels
Hole Diameter = 440 pixels

Hole Diameter/Luffy = 10

Luffy = 1.72 meters (here)
Hole Diameter = 17.2 meters

elNU5Ha.png

Hole Diameter = 110 pixels
Tree Thickness = 221 pixels

Tree Thickness/Hole Diameter = 2.009

Tree Thickness = 34.555 meters

Volume = PIr^2*H

r = Hole Diameter/2
H = Tree Thickness

Hole Volume = 8,024.86 m^3

7,416.847 j/cc (derived above for wood incineration)

Wyper's Burn Bazooka Yield = 59,519,158,816,420 joules or 14.225 kilotons

Skypiea Nami's Speed

Here are the collected feats

He says predicted path, but that's like saying a Baseball player is predicting the trajectory of a baseball from the pitcher's mound. She's clearly not moving before he attacks, there's nothing present, not a shred of evidence of trajectory, to "predict" before he attacks and all.

Also, no magic Lightning nonsense. It's pretty clear his own bodily bullshit functions just the same as the shit he summons from Ark Maxim indiscriminately.

uYonbih.png

Nami = 26 pixels
Lightning Distance = 236 pixels

Lightning Distance/Nami = 9.077

Nami = 1.69 meters (here)
Lightning Distance = 15.34 meters

hlsWUnA.png

Nami = 296 pixels
Nami Movement = 376 pixels

Nami Movement/Nami = 1.27

Nami = 1.69 meters
Nami Movement = 2.146 meters

Nami/Lightning = 0.14

Now, what about the speed? In lieu of continuously just appealing to the research of Negima's author and his 150 km/sec (if you've been wonder why we use that, that's pretty much been why for the past decade)? I figured let's update them all with something more scholarly?

Wikipedia cites some study that found an average speed for a stepped leader to be about 440 km/sec. While I can only get the abstract for it without paying for the damn thing, I miss being a student as a tangent, but this other article (web and pdf views) appears to corroborate it as well as listing a minor meta analysis worth of other corroborative past research findings in both its introduction and its own later findings presented in the results/discussion.

As an aside, I find it amusing they give a range of values for the distances they're discussing as of course capturing video to measure the speed of lightning won't have some kind of convenient measuring stick the strikes always land near and in the same field of visual depth for.

All that to say? I'm all for 440 km/sec if only because I can actually cite and find it beyond the research findings of a harem manaka's bullshit.

Lightning Speed = 440,000 m/s
Skypiea Nami's Speed = 61,600 m/s or mach 181.022

Skypiea Monkey D Luffy's Gomu Gomu no Ogon Rifle

So here's the feat

AsidItO.png

I ran out of colors to make lines with on this. Just thought that was interesting to let you all know.

Any rate, thanks to the converging parallel lines, I can work out more precise measurements from the foreground to the background, so that's neat.

Foreground

Person (Red Line) = 11 pixels
Length (Green Line) = 173 pixels

Length/Person = 15.727

Person (Red Line) = 1.7 meters
Length (Green Line) = 26.736 meters

Middle Background

Length (Green Line) = 100 pixels
Platform Height (Orange Line) = 92 pixels

Platform Height/Length = 0.92

Platform Height (Orange Line) = 24.597 meters

Far Background

Length (Green Line) = 73 pixels
Bell Diameter (Purple Line) = 200 pixels
Bell Height (Teal Line) = 170 pixels
Bell Thickness (Light Orange Line) = 16 pixels
Bell Tongue Diameter (Pink Line) = 41 pixels
Platform Diameter (Blue Line) = 358 pixels
Pillar Bottom Radius (Light Green Line) = 39 pixels
Pillar Bottom Top Diameter (Gray Blue Line) = 58 pixels
Pillar Bottom Height (Light Blue Line) = 75 pixels
Pilar Top Height (Light Purple Line) = 274 pixels
Pillar Top Diameter (Tan Line) = 34 pixels
Small Pillar Diameter (White Line) = 31 pixels
Small Pillar Height (Gray Line) = 176 pixels
Bell Central Holder Diameter (Light Gray Line) = 139 pixels
Bell Central Holder Height (Brown Line) = 13 pixels

Bell Diameter/Length = 2.74
Bell Height/Length = 2.329
Bell Thickness/Length = 0.219
Bell Tongue Diameter/Length = 0.562
Platform Diameter/Length = 4.904
Pillar Bottom Radius/Length = 0.534
Pillar Bottom Top Diameter/Length = 0.795
Pillar Bottom Height/Length = 1.027
Pilar Top Height/Length = 3.753
Pillar Top Diameter/Length = 0.466
Small Pillar Diameter/Length = 0.425
Small Pillar Height/Length = 2.411
Bell Central Holder Diameter/Length = 1.904
Bell Central Holder Height/Length = 0.178

Bell Diameter (Purple Line) = 73.257 meters
Bell Height (Teal Line) = 62.268 meters
Bell Thickness (Light Orange Line) = 5.855 meters

Volume = (2/3)PIr1^2r2

r1 = Bell Diameter/2
r2 = Bell Height

Gold Bell Volume w/Empty Space = 174,880.575 m^3

Volume = (2/3)PIr1^2r2

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

Empty Space Volume = 111,833.359 m^3

Subtract the pair to get...

Gold Bell Volume = 63,047.216 m^3

Bell Tongue Diameter (Pink Line) = 15.026 meters

Volume = (4/3)PIr1^2r2

r1 = Bell Tongue Diameter/2
r2 = Bell Height/2

Bell Tongue Volume = 7,357.497 m^3

Platform Diameter (Blue Line) = 131.113 meters

I know it's like an octagon, but I'm just going to treat it like a cylinder for convenience.

Volume = PIr^2*H

r = Platform Diameter/2
H = Platform Height

Platform Volume = 331,927.555 m^3

Pillar Bottom Radius (Light Green Line) = 14.277 meters
Pillar Bottom Top Diameter (Gray Blue Line) = 21.255 meters
Pillar Bottom Height (Light Blue Line) = 27.458 meters

Conical Frustum Calculator

Pillar Bottom Volume = 13,471.378 m^3

After all, while I'm calculating a half for each side, its essentially the same as one full conical frustum in total.

Pilar Top Height (Light Purple Line) = 100.34 meters
Pillar Top Diameter (Tan Line) = 12.459 meters

Conical Frustum Calculator

Individual Pillar Top Volume = 22,901.737 m^3

There are 2 of them so...

Total Pillar Top Volume = 45,803.474 m^3

Small Pillar Diameter (White Line) = 11.363 meters
Small Pillar Height (Gray Line) = 64.46 meters

Volume = 2(PIr^2*H)

r = Small Pillar Diameter/2
H = Small Pillar Height

Total Small Pillar Volume = 13,067.002 m^3

Bell Central Holder Diameter (Light Gray Line) = 50.905 meters
Bell Central Holder Height (Brown Line) = 4.759 meters

Volume = PIr^2*H

r = Bell Central Holder Diameter/2
H = Bell Central Holder Height

Bell Central Holder Volume = 9,680.688 m^3

Add all the volumes to get...

Total Gold Bell Support Structure Volume = 476,997.313 m^3
Gold Density = 19,300 kg/m^3
Total Gold Bell Support Structure Mass = 9,206,048,140.9 kilograms

L9J0BKM.png

Enel = 60 pixels
Gold Ball Diameter = 101 pixels

Gold Ball Diameter/Enel = 1.683

Enel = 2.66 meters (here)
Gold Ball Diameter = 4.477 meters

VPy0gJ4.png

For all intents and purposes, the Gold Bell and its Support Structure appears to sit roughly where that crease I measured to in the Cloud is. Luffy's punch pushed it clear off the platform from that position.

Bell Diameter = 18 pixels
Ark Maxim Diameter = 36 pixels
Bell Distance = 59 pixels
Punch Distance = 43 pixels

Ark Maxim Diameter/Bell Diameter = 2
Bell Distance/Bell Diameter = 3.278
Punch Distance/Bell Diameter = 2.389

Bell Diameter = 73.257 meters (because I know your eyes probably glazed over above)
Ark Maxim Diameter = 146.514 meters
Bell Distance = 240.136 meters
Punch Distance = 175.011 meters

v13ERi2.png

Panel Height = 506 pixels
Ark Maxim Diameter = 16 pixels
Distance From Ark Maxim = 24 pixels
Gold Ball Diameter = 102 pixels

Distance From Ark Maxim/Ark Maxim Diameter = 1.5

Distance From Ark Maxim = 219.771 meters

2*atan(Object_Size/(Panel_Height/tan(FoV/2))) = object degree size

2*atan(16/(506/tan(70/2 deg)))

2*atan(102/(506/tan(70/2 deg)))

Ark Maxim Diameter = 2.537 degrees
Gold Ball Diameter = 16.068 degrees


Distance From Ark Maxim Diameter = 3,308.3 meters
Distance From Gold Ball Diameter = 15.859 meters

Luffy's Arm Extension = 3,292.441 meters

Total Initial Punch Distance = 3,687.223 meters

Cjfn1I4.png

Would you believe this is like... the only above shot of the damn thing that'd let me measure the full ship?

Ark Maxim Diameter = 276 pixels
Ark Maxim Length = 271 pixels
Exhaust Diameter = 31 pixels

Ark Maxim Length/Ark Maxim Diameter = 0.982
Exhaust Diameter/Ark Maxim Diameter = 0.112

Ark Maxim Length = 143.877 meters
Exhaust Diameter = 16.41 meters

Now to find the minimum time frame~

Yf6YSSW.png

Ark Maxim Length = 165 pixels
Initial Height = 21 pixels (makes sense on account the punch seems to land square around his chest)

Initial Height/Ark Maxim Length = 0.127

Initial Height = 18.272 meters

iCMyD4a.png

Would have preferred using the full ship, but the exhaust pipe will have to do.

Exhaust Diameter = 27 pixels
Final Height = 30 pixels

Final Height/Exhaust Diameter = 1.111

Final Height = 18.232 meters

Subtract initial from the final for...

Total Fall Distance = 0.04 meters

Well, that definitely reflects the barely perceivable difference between the start and finish. Had the final height been higher than the initial, I'd have modeled it as if he had still been rising, but its interesting to see it measured out to having him slightly fall instead of slightly rise.

Time to Fall a Given Distance = sqrt(2d/G)

d = Total Fall Distance
G = 9.8 m/s^2

Time Frame = 0.09 seconds

Obviously, a portion of this time frame is spent on the punch traveling from behind Luffy, to Enel, all the way to impacting the Bell where it initially sits. To compensate, let's halve the derived time frame for the Bell's movement across the cloud top as well as how ever long Luffy has to initially punch before impacting the Bell.

Punch Time Frame = 0.045 seconds

Skypiea Monkey D Luffy's Gomu Gomu no Ogon Rifle Speed = 81,938 m/s or mach 240.789

Bell Time Frame = 0.045 seconds

Bell Movement Speed = 5,336.356 m/s

KE = 0.5mv^2

m = Total Gold Bell Support Structure Mass
v = Bell Movement Speed

Skypiea Monkey D Luffy's Gomu Gomu no Ogon Rifle Yield = 13,107,891,418,313,360 joules or 31.329 megatons

Skypiea Roronoa Zoro's Physical Might

The Feat

MoeFXZ1.png

Bell Diameter = 47 pixels
Beanstalk Part = 96 pixels

Beanstalk Part/Bell Diameter = 2.043

Bell Diameter = 73.257 meters (derived above)
Beanstalk Part = 149.664 meters

1G7XV5T.png

Beanstalk Diameter = 6 pixels (after all, the Bell landed on the part of it closer to the top than the middle/bottom)
Lower Beanstalk Diameter = 7 pixels
Total Lightning Travel = 74 pixels

Lower Beanstalk Diameter/Beanstalk Diameter = 1.167
Lightning Travel/Beanstalk Diameter = 12.333

Lower Beanstalk Diameter = 174.658 meters
Total Lightning Travel = 1,845.806 meters

Lightning Speed = 440,000 m/s (as discussed above)
Time Frame = 0.004 seconds

rCX88Y7.png

Pretty clear its the same stroke of lightning, just has had a bit of time to penetrate the layer of cloud unlike the initial frame where Zoro jumped. Not like Enel is controlling where they strike either, so the odds on lightning choosing to strike the exact same spot kind of come into play here in terms of how quick a succession this would be. How far down it went is unknown, but the maximum is obviously what I scaled to be the ground level of the buried city below anyway.

Lower Beanstalk Diameter = 170 pixels
Zoro Travel = 323 pixels
Average Beanstalk Section Thickness = 50 pixels
Beanstalk Section Travel = 58 pixels

Zoro Travel/Lower Beanstalk Diameter = 1.9
Average Beanstalk Section Thickness/Lower Beanstalk Diameter = 0.294
Beanstalk Section Travel/Lower Beanstalk Diameter = 0.341

Zoro Travel = 331.85 meters

As above suggests, time frame is 0.004 seconds.

Skypiea Roronoa Zoro's Speed = 82,963 m/s or mach 243.801

Average Beanstalk Section Thickness = 51.349 meters

Volume = PIr^2*H

r = Lower Beanstalk Diameter
H = Average Beanstalk Section Thickness

Beanstalk Section Volume = 1,229,641.785 m^3
Density = 708 kg/m^3 (using Red Oak from the link I derived wood incineration from as a placeholder [can't find a "beanstalk density" for the life of me], but its realistically more dense than rock given it pierced Upper Yard 400 years ago)
Beanstalk Section Mass = 870,586,383.78 kilograms

Beanstalk Section Travel = 59.558 meters

Again, 0.004 seconds to move.

Beanstalk Section Speed = 14,889.5 m/s

Obviously, he didn't just slice through it, but rather also imparted some sort of kinetic energy to it in order to properly sever it and have it start to act as a tipping point for the rest of the Beanstalk.

KE = 0.5mv^2

m = Beanstalk Section Mass
v = Beanstalk Section Speed

Skypiea Roronoa Zoro's Physical Might = 96,503,286,282,830,920 joules or 23.065 megatons

Enel's Raigo and Skypiea Monkey D Luffy's Gomu Gomu No Hanabi: Ogon Botan

Here is the entirety of the feat

The Raigo in its final form never gets to destroy anything, but we can derive a yield for it in 2 ways.

A low end, the Knock Up Stream (which does fuck all to the mass, other than launch it into the sky, indicating the burst couldn't penetrate the mass of land at all and the energy was directed to make it move instead), and more accurately, Luffy's Gomu Gomu No Hanabi: Ogon Botan (after all, its Enel's electricity holding the Cloud together and causing those abnormal internal pressures. Once Luffy's flailing around has caused it to lose enough electricity, the built up kinetic energy of his flailing becomes enough to destroy the Raigo).

I'll start with the Knock Up Stream.

o2dxDmV.png

Beanstalk Part = 3 pixels
Upper Yard Diameter = 210 pixels

Upper Yard Diameter/Beanstalk Part = 70

Beanstalk Part = 149.664 meters (derived above)
Upper Yard Diameter = 10,476.48 meters

KzWytvg.png

Upper Yard Diameter = 16 pixels
Upper Yard Depth = 7 pixels
Upper Yard Height Above Skypiea = 239 pixels

Upper Yard Depth/Upper Yard Diameter = 0.438
Upper Yard Height Above Skypiea/Upper Yard Diameter = 14.938

Upper Yard Depth = 4,588.698 meters

Volume = (2/3)PIr1^2r2

r1 = Upper Yard Diameter/2
r2 = Upper Yard Depth

Upper Yard Volume = 263,571,622,611.937 m^3
Rock Density = 2,700 kg/m^3
Upper Yard Mass = 711,643,381,052,229.8 kilograms

Upper Yard Height Above Skypiea = 156,497.658 meters
Skypiea Height Above Blue Sea = 10,000 meters
Total Upper Yard Height Above Blue Sea = Skypiea Height Above Blue Sea + Upper Yard Height Above Skypiea = 166,497.658 meters

PE = mgh

m = Upper Yard Mass
g = 9.8 m/s^2
h = Total Upper Yard Height Above Blue Sea

Knock Up Stream Yield = 1,161,172,171,508,699,000,000 joules or 277.527 gigatons

Now for the Gomu Gomu No Hanabi: Ogon Botan

Kvgossc.png

I'm ignoring the Ark Maxim as its supposed to be about the size of the Gold Bell as we see from it very briefly for comparison in Luffy's final attack. Ark Maxim in general isn't the most consistent thing, nor is it ever easy to tell exactly where into the foreground it is related to background objects.

I'll just use the Beanstalk as its less of a snake eating its own tail that way.

Beanstalk Diameter = 3 pixels
Raigo = 649 pixels

Raigo/Beanstalk Diameter = 216.333

Beanstalk Diameter = 149.664 meters (found above)
Raigo = 32,377.262 meters

Volume = (4/3)PIr^3

r = Raigo/2

Raigo Volume = 17,762,281,828,128.78 m^3

Cloud Density = 1.003 kg/m^3

Raigo Mass = 17,815,568,673,613.17 kilograms

Notice, upon depleting the electrical charge enough to disperse the Raigo? It's starts to expand concurrent with the gasping final releases of lightning from its center outward, suggesting the speed of dispersion was akin to the speed of Lightning.

Raigo Dispersion Speed = 440,000 m/s (see above)

KE = 0.5mv^2

Skypiea Monkey D Luffy's Gomu Gomu No Hanabi: Ogon Botan and Raigo Yield = 1,724,547,047,605,755,000,000,000 joules or 412.177 teratons

Obviously, we know fuck all about how many times Luffy wailed around inside the Raigo, nor do we know the rate at which the Gold Ball was able to absorb and safely deplete the electricity within, so I don't really know what Luffy gets out of this feat anyway :lmao

It does represent the power of Enel with Ark Maxim though at his most powerful.

Van Augur's Bullet Speed

Here is the feat

Van Augur shoots a trio of seagulls in the time it takes for the smoke from his gun's barrel to disappear. The seagulls and the Going Merry cannot see Jaya over the horizon from where they are located.

First, the size of the planet

Bq35bgs.png

Bottom Right Panel

River = 3 pixels
Alabasta = 208 pixels

Alabasta/River = 69.333

River = 50,000 meters (its from here)
Alabasta = 3,466,650 meters

Top Left Panel

Alabasta = 23 pixels
Distance Between Islands = 182 pixels

Distance Between Islands/Alabasta = 7.913

Distance Between Islands = 27,431,601.45 meters

xOQTHIo.png

Why not just scale directly from Alabasta? If you noticed above? There are no islands large enough near Alabasta to be visible from our bird's eye view. To account for this, we need to scale from the distance between islands on the Grand Line as shown on the globe. Where I scaled is likely not even Alabasta, but the odds are pretty good that Alabasta's not even an island large enough to be seen on the scale of the globe anyway.

Distance Between Islands = 6 pixels
Planet Diameter = 99 pixels

Planet Diameter/Distance Between Islands = 16.5

Planet Diameter = 452,621,423.925 meters

G6fUTfb.png

Upper Yard = 355 pixels
Jaya = 262 pixels

Jaya/Upper Yard = 0.738

Upper Yard = 10,476.48 meters (found above)
Jaya = 7,731.642 meters

tJi7fM0.png

Jaya = 398 pixels
Jaya Height = 36 pixels

Jaya Height/Jaya = 0.09

Jaya Height = 695.848 meters

None of this height peaks over the horizon for Ussop to observe.

Planet Diameter = 452,621.424 kilometers


Distance to Horizon 1 = 561,210 meters

That's just how far behind the horizon Jaya is, how about how far away from the Horizon the Straw Hats are?

Going Merry Height = 11 meters (official height)

Distance to Horizon 2 = 70,560 meters

Add both together for the total distance a single bullet travels.

Single Bullet Travel = 631,770 meters

He shot all three bullets before the smoke had been able to properly disappear from the end of the gun's barrel.

Total Bullet Travel = 1,895,310 meters

Time Frame = 2 seconds (an example)

Van Augur's Bullet Speed = 947,655 m/s or mach 2,784.845

Also Luffy kicked some Lightning, so that's neat. Usopp does some stupid flip dodge with Lightning too... while it lingers for him to complete it? I'm not doing those right now. Or the bit feat variants of El Thor (like his 3rd, like his 4th, like his 5th, and like that of his 6th). Or the Reject Dial (that powerscales off other feats here anyway).

Final Tally

Enel's El Thor Yield = 407.642 kilotons

Wyper's Burn Bazooka Yield = 14.225 kilotons

Skypiea Nami's Speed = 61,600 m/s

Skypiea Monkey D Luffy's Gomu Gomu no Ogon Rifle Speed = 81,938 m/s
Skypiea Monkey D Luffy's Gomu Gomu no Ogon Rifle Yield = 31.329 megatons

Skypiea Roronoa Zoro's Speed = 82,963 m/s
Skypiea Roronoa Zoro's Physical Might = 23.065 megatons

Knock Up Stream Yield = 277.527 gigatons

Skypiea Monkey D Luffy's Gomu Gomu No Hanabi: Ogon Botan and Raigo Yield = 412.177 teratons

Van Augur's Bullet Speed = 947,655 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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