Calc Fate/Stay Night Feat - Caladbolg II Power and Speed

Calculations
The Feats

Let's actually evaluate this *shrugs*

t1YovSh.jpg

Hollow Ataraxia Distance = 574 pixels
Bridge to Harbor = 473 pixels
EMIYA Distance From Graveyard = 433 pixels
Ground Zero Crater = 420 pixels
Distance to Mt Enzo from River = 1182 pixels

Bridge to Harbor/Hollow Ataraxia Distance = 0.824
EMIYA Distance From Graveyard/Hollow Ataraxia Distance = 0.754
Ground Zero Crater = 0.732
Distance to Mt Enzo from River/Hollow Ataraxia Distance = 2.059

Hollow Ataraxia Distance = 4,000 meters (here, here, and here, obviously I'm using the distance between EMIYA and Artoria on the Bridge in Hollow Ataraxia)
Bridge to Harbor = 3,296 meters
EMIYA Distance From Graveyard = 3,016 meters
Ground Zero Crater = 2,928 meters

Volume = (2/3)PIr1^2r2

r1 = Ground Zero Crater/2
r2 = Ground Zero Crater/4

Ground Zero Crater Volume = 3,284,215,326.72 m^3

I'll do more with that at a later time *shrugs*

Distance to Mt Enzo from River = 8,236 meters

tnPFouT.png

Panel Height = 1080 pixels
Caladbolg II Crater Diameter = 90 pixels

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

2*atan(90/(1080/tan(70/2 deg)))

Caladbolg II Crater Diameter = 6.679 degrees
EMIYA Distance From Graveyard = 3,016 meters


Caladbolg II Crater Diameter = 351.98 meters

ngPfhlC.png
QXcCnWj.png

Caladbolg II Crater Diameter = 890 pixels
Horizontal Expansion Distance = 513 pixels

Horizontal Expansion Distance/Caladbolg II Crater Diameter = 0.576

Horizontal Expansion Distance = 202.74 meters

Time Frame (Horizontal Expansion) = 0.04 Seconds (here and here, see how there's no debris there, only for it to be present a frame later)

Horizontal Expansion Speed = 5,068.5 m/s

ApUzNAZ.png

Herakles = 145 pixels
Initial Expansion Radius = 1058 pixels

Initial Expansion Radius/Herakles = 7.297

Herakles = 2.53 meters (official height)
Initial Expansion Radius (Visible) = 18.461 meters



It reaches that point in expansion in about 17 frames here. It continues to expand for about 18 frames until here afterwards adding to its radius.

Divide the 18 by 17 to get the ratio for how much further the radius expanded, then add that number to the Initial Expansion Radius (Visible) for...

Total Initial Expansion Radius = (18.461 * (18/17)) + 18.461 = 38.011 meters

Which gives us an initial expansion diameter of...

Total Initial Expansion Diameter = 76.022 meters

GOMeJnm.png
OWywxMP.png
4lsA6Uq.png

Total Initial Expansion Diameter = 1155 pixels
Minimum Destruction Depth = 130 pixels
Horizontal Expansion = 329 pixels
Vertical Expansion = 210 pixels

Minimum Destruction Depth/Total Initial Expansion Diameter = 0.113
Vertical Expansion/Horizontal Expansion = 0.638

Minimum Destruction Depth = 8.59 meters

Volume = (2/3)PIr1^2r2

r1 = Caladbolg II Crater Diameter/2
r2 = Minimum Destruction Depth

Caladbolg II Destruction Volume = 556,938.878 m^3

Soil Density = 2,650 kg/m^3

Caladbolg II Destruction Mass = 1,475,888,026.7 kilograms

Horizontal Expansion Speed = 5,068.5 m/s
Vertical Expansion Speed = 3,233.703 m/s

KE = 0.5mv^2

m = Caladbolg II Destruction Mass
v = Vertical Expansion Speed

Caladbolg II Yield = 7,716,558,854,883,827 joules or 1.844 megatons

RHzaYb4.png
x76IxBC.png

So, the mountain range with Mt Enzo is in the background a good deal.

So I'm going to try and work around that.

Bridge to Harbor = 148 pixels
Partial Shock Wave Radius = 875 pixels
Mountain Height = 65 pixels

Partial Shock Wave Radius/Bridge to Harbor = 5.912

Partial Shock Wave Radius = 19,485.952 meters

Partial Shock Wave Radius is equal to just short of the distance between our point of view and our distance from the measured "Bridge to Harbor" distance that lines itself along the Mion River. I call it "partial" because the actual radius is expanding somewhere in the background. What I measured is the part of the shock wave in the same frame of reference as that section of Mion River I dubbed "Bridge to Harbor."

Thus?

Meaning the total distance between our view and how far away the Mountain Range with Mt Enzo is would be the addition of the Partial Shock Wave Radius to the Distance from Mt Enzo to River derived earlier to get...

Distance of View from Mt Enzo = 27,721.952 meters

Now, I'm going to actually solve for the number of degrees that Bridge to Harbor represents so I can get the degrees the Mountain Height represents.


Plug in the size of 3,296 meters for "Bridge to Harbor" and distance of 19,485.952 meters for how far away our view is to get an angular size of...

Bridge to Harbor = 9.668 degrees

Mountain Height/Bridge to Harbor = 0.439

Which makes the Mountain Height...

Mountain Height = 4.244 degrees

Now, plug that 4.244 degrees in alongside the previously derived Distance of View from Mt Enzo of 27,721.952 meters to get a Mountain Height of...

Mountain Height = 2,054.4 meters

EpRJmMY.png

Mountain Height = 125 pixels
Caladbolg II Travel = 415 pixels

Caladbolg II Travel/Mountain Height = 3.32

Caladbolg II Travel = 6,820.608 meters

Time Frame = 0.04 seconds (start and end, see for yourself)

Caladbolg II Speed = 170,515 m/s or mach 501.087

And this is another example of why we suck at eyeballing shit, because my original estimate was based on the mountain to flight path ratio being 1 to 1 *shrugs*

This is something Berserker can swat out of the sky too as shown here

Medea herself reacts to it and erects a barrier long before it crosses any significant distance too[/SPOILER]

Final Tally

Caladbolg II Yield = 1.844 megatons

Caladbolg II Speed = 170,515 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.

Comments

There are no comments to display.

Blog entry information

Author
ChaosTheory123
Read time
4 min read
Views
1,473
Last update

More entries in The Outskirts Battledome (OBD)

More entries from ChaosTheory123

Share this entry

Back
Top