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Viewing blog entries in category: Nanatsu no Taizai Calculation
Well it was a long time coming. I have put it off for a very long time.Without further ado , lets get to it.
Windows = 2.8284 pixel = 1.5 meter.
Crater width = 1006.4283 pixel = 533.7392 meter.
Now I am going to angsize the depth of the crater.
Panel Height = 357 pixel
Crater Width = 153.652 pixel
object degree size = 33.542268397152
Now putting degree size & size in angular calculator I get depth = 885.53 meter.
Now I will calc the surface area of the crater.I have divided the surface area into four & will calc their area individually & later add them to get the whole result.
Crater Width = 153.652 pixel = 533.7392 meter.
First part as a rectangle with two adjacent equal sides & those are 92 & 170 pixel.
Rectangle Area = 170*92 = 590.5270*319.5793
Rectangle Area = 188720.25998 meter^2
Second part as triangle whose base is 99 & height 40 pixel.
Triangle Area = .5*b*h = .5*138.9475*343.8951
Triangle Area = 23891.69531 meter^2
Third part as a Circular Segment. For that first I need the radius of the said circle.
Height H = 21 pixel = 72.9474 meter
Width W = 135 pixel
So, R = (H/2)+(W^2/8H)
R = 118.9821 pixel
So Radius of the circle = 118.9821 pixel = 413.30676 meter.
Now putting height & radius in this calculator I got area = 23241.2317 meter^2
Fourth part is also as a Circular Segment.
Height H = 39 pixel = 135.47385 meter
Width W = 170 pixel = 590.5270 meter
So, R = (H/2)+(W^2/8H)
R = 112.1282 pixel
So Radius of the circle = 112.1282 pixel = 389.49847 meter.
Now putting height & radius in this calculator I got area = 55516.3438 meter^2
Total Area = A1+A2+A3+A4 = 291369.53079 meter^2
Crater Volume = 291369.53079*885.53 meter^3
Crater Volume = 258016460.6004687 meter^3
No idea what happened. But since there isn't any fragmented part lying around or molten corner its safe bet to use pulverization. Nonetheless I will use both.
Fragmentation Energy [8 j/cc] = 2064131684803749.6 Joules
Pulverization Energy [214.35 j/cc] = 55305828329710465.845 joules
Meliodas Wrath = 493.3393 kilotons - 13.2184 megatons
Upon the request from a vampire royalty Meliodas destroyed Edinburgh castle. It made a huge crater. Lets get to it.
Meliodas = 48 pixel = 1.52 meter
Crater Diameter 1 = 646.8446 pixel
Crater Diameter 2 = 613.5967 pixel
Average Diameter = 630.2207 pixel = 19.95698 meter
According to one of the Ten Commandments the crater was 30000 feet or 9144.000 meter deep. This is what I am going to use here.
Crater Depth = 9144 meter.
Modelling the crater as cylinder to find the volume
Crater Volume,V = πr^2h
Crater Volume = 2860330.0101308 meter^3
I am going to use pulverization value here which is 214 j/cc.
Meliodas Power = 612110622168004.62825476 Joules
Meliodas Power = 146.29794 kilotons
As suspected its not as impressive as Danafor's crater.
Meliodas destroys Edinburgh = 146.29794 kilotons of TNT
Spoiler:This is the first Holy Knight introduced in the series. The feat happened in first chapter.
First I am gonna need Elizabeths Height,
Meliodas = 146.038 px = 1.52 meter.
Now I am going to use Elizabeths Height to calc the volume.Elizabeth is lying in the ground in the scan,
Elizabeth = 174.195 px = 1.813 meter
Elizabeth = 49.97 px = 1.813 meter
Slash Width [Average] = 61.987 px = 2.249 meter
Slash Length = 689.42 px = 25.014 meter
Slash Depth = 71.70 px = 2.601 meter
So,Volume = H*W*L
Volume = 146.357 m^3
There is no fragmented part to consider its fragmentation,it wasn't violnetly fragmented either so where did all those bedrock go? Only possible explanation is pulverization.
Pulverization Energy = 146.357*1000000*214.35
Pulverization Energy = 31371788663.558 Joules
Pulverization Energy = 7.498 tons
City Block level result for a casual swing from a third rate Holy knight isn't bad.
Twigo's Sword Slash = 7.498 tons
Spoiler:Weird attack name.
By swinging her Gideon in the ground Diana send a huge rocks flying in the air.Then she formed the sphere with her Creation Ability (i.e. earth manipulation), using the rock she first fragmented with Gideon.
Low End & High End calc is done by Zenieth while Mid End is done by me.Enjoy.
meliodas = 26px = 152cm
crater height = 194px = 11.3 meters
crater height = 43px = 11.3 meters
height of hill = 681px = 178.96 meters
height of hill = 182px = 178.96 meters
width of mother catastrophe = 533px = 524.1 meters
height of the top half of mother catastrophe = 318.6px = 313.28 meters
height of bottom half of mother catastrophe = 286px = 281.22 meters
volume of first half = 1/2*4/3pi*D/2*D/2*h = 14342000.6928 m^3
volume of the second half = (pi*r^2*h)/3 = 20222886.7583 m^3
total volume = 34564887.4511 m^3
First we need something to scale the rock.For that I am going to use the mountain/hill that's right next to it.
To calc that hill height I am going to use a small house.Why? Cause there nothing else to use here.For that I am going to use a one storied house.These kind of house are pretty much all over the landscape here.
I forgot that I already calc the house height in my previous blog.We are going to calc hill height now.
House = 12.08 px = 6.632 meter.
Hill = 408.5939 px = 224.320 meter.
Now I am going to use the hill to scale that big chunk of rock.But first I have to exaplain how we are going to calc volume.It will be calced in two step.First I will calc volume of half elipsode in top & second I am going to calc that cone shaped rock which is in the bottom.Adding those two will give me total volume of the rock.
Hill = 170.557 px = 224.320 meter.
Rock Diameter in middle = 421.3039 px = 554.109 meter
Distance from middle to top = 207 px = 272.251 meter
Distance from middle to bottom = 248.69 px = 327.091 meter
Distance from ground to rock = 179 px = 235.425 meter
Volume of Elipsode side [Top] = 43768163.56 m^3
Volume of Cone Side [Bottom] = 94899.4891 m^3
Total Volume = 43863063.0491 m^3
child = 33px = 1.016m
gideon = 942.6 = 29.021m
gideon = 15.8px = 29.021m
upper half = 481px = 883.487m
and cause I'm lazy, going to use the previous ones.
width of mother catastrophe = 533px = 1478.024 meters
height of the top half of mother catastrophe = 318.6px = 883.487 meters
height of bottom half of mother catastrophe = 286px = 793.086 meters
volume of first half = 1/2*4/3pi*D/2*D/2*h = 1010559195.138 m^3
volume of the second half = (pi*r^2*h)/3 = 453577896.356 m^3
total volume = 1464137091.494 m^3
We are going to use violent fragmentation value here.Why ? Cause before forming the sphere she first fragmented the rocks which went upwards violently.Even a single chunk of rock managed to draw blood from Helbram which even Wrath Meliodas couldn't which should give you an idea about KE of those rock.
Low end-34564887451100cc*120 = 4147786494132000j = 991.34 kilotons
Mid end-43863063049100cc*120 = 5263567565892000j = 1.25 megatons
High end-1464137091494000cc*120 = 175696450979280000j = 41.99 megatons
Diana's DC = 991.34 kilotons-1.25 megatons-41.99 megatons
Spoiler:Don't be fooled by the title & result if you are expecting a bigger one.
Helbrum upon receiving 20 holy knights & Hendricksen's sent Wrath Meliodas flying via swing of his sword.He smashed into a hill & formed a small crater. We are going to calc that.
Now first I am going to calc a small house.Why? Cause there nothing else to use here.For that I am going to use a one storied house.These kind of house are pretty much all over the landscape here.
Ban = 60.91 px = 2.01 meter.
House = 201 px = 6.632 meter.
I am going to scale a house that's closer to the hill.Now again here,
House = 12.08 px = 6.632 meter.
Crameter Diameter = (121.63+121.43) px = 121.53 px = 66.711 meter.
Crater Depth = D/4 = 16.677 meter.
Volume = (2/3)*pi*r^2*h
Volume = 38863.6494 m^3
Now you can see few debris flying away which might suggest it was violent fragmentation but most of the rock were pulverized so I am going to use pulverization value.But for nitpickers I will calc violent Fragmentation as well.
Violent Fragmentation 120 j/cc
Energy = 4663637936170.0533 Joules
Energy = 1.1146 kilotons
Pulverization 214.35 j/cc
Energy = 8330423263483.7577 Joules
Energy = 1.9910 kilotons
Helbram's Slash = 1.1146 - 1.9910 kilotons
Spoiler:Geera's fireball drops into ground & creates huge explosion.I am going to calc the size of the explosion here.
Here,Window = 2 px = 1.5 meter.
Blast Diameter = 442 px = 331.5 meter.
Plugging .00166 Megaton or 1660 tons in SD.net calculator I got radius of 331 meter
Now for Airblast Inverse square the rule goes like this.
Plug in for a 331.5 m radius
half that radius (~165.75) = 1/8 the energy = 207.5 tons.
Meliodas used his Full counter to nullify one of these too.
Geera's Fireball = 207.5 tons
Spoiler:The equation for rotational kinetic energy of Tornado is
here,m = mass
v = angular velocity
So first we need to find the mass. From the scan below you can see its kinda cylinder shaped. Its diameter is not same all around.So I am going to scale few & use average.
Byzel Rock Diameter = 384 px = 43.2727272 meter
Tornado Diameter = (350+750+491+235+231)/5 pixel
Tornado Diameter = 411.4 px = 46.36041658 meter
Tornado height = 923 px = 104.01231043125 meter
Tornado Volume = pi*r^2*h
Tornado Volume = 7574.46477527373 m^3
Density of air = 1.29 kg/m^3
Tornado Mass m = 9771.0595601 kg
Now for angular velocity I am going to use 72 mph.
Why? Cause the tornado had the strength to send a person flying & 72 mph is just moderate level where things are just pushed over.
72 mph = (115.873*1000)/3600 = 32.186944 m/s
Kinetic Energy = 9771.0595601*(32.186944)^2/4
K.E = 2530702.87261188 Joules
K.E = 0.000604853 tons
Awesome. Nothing but waste of time.
Housers Super Cyclone = 0.000604853 tons
Spoiler:Now when Meliodas & Ban first meet after long they fought a bit between with each other. Mainly Hand wrestling. But as a result Bustee Dungeon was totally destroyed.Lets calc the energy needed to do that.
First we have to calc the volume of Bustee Dungeon.Lucky for us there is a panel which says exactly how far it was.
From this scan you can see it says the dungeon was 8 miles or 12.8748 km away from the village. Now here,
Panel Height = 1162 px
Height of base of the dungeon = 84.75 px.
object degree size = 5.847621259168
Putting it into Angular Calculator I get 1.3151 km for the height of base of dungeon.
As you can see here the shape of dungeon is a bit peculiar. There are three dome & one half dome along with a base. Lots of scalling to do.
First, Height of base = 161 px = 1.3151 km
Diameter of base = 157 px = 1.282 km
Volume A1 [Cylinder] = 1.6986 km^3
I am going to calc dome volume from top to bottom.
Top Half-Dome diameter = 77 px = .6289 km
Top half-dome depth = 28 px = 0.2287 km
Volume A2 = .05 km^3
2nd Dome Diameter = 108 px = 0.8821 km
2nd dome height = 41 px = 0.3349 km
Volume = (0.8821/2)^2*(0.3349/2)*(4/3)*pi*.2
Volume A3 = 0.0272884840 km^3
Right Dome Diameter = 162 px = 1.3232 km
Right dome height = 57 px = 0.4655 km
Volume = (1.3232/2)^2*(0.4655/2)*(4/3)*pi*.2
Volume A4 = 0.0853491671 km^3
Left Dome Diameter = 119 px = 0.9720 km
Left dome height = 50 px = 0.4084 km
Volume = (0.9720/2)^2*(0.4084/2)*(4/3)*pi*.2
Volume A5 = 0.0404060950 km^3
Total Volume = A1+A2+A3+A4+A5
Total Volume = 1.901732327 km^3
Total Volume = 1901732327.4901 m^3
Total Energy [Fragmentation]= 15213858619920800 Joules.
Total Energy [Fragmentation]= 3.636199479 Megatons.
Meliodas-Ban Hand wrestling = 3.6361 Megatons.
Spoiler:Now in the fight between Meliodas & Ban during the tournament one of Meliodas punch split the great Byzel rock in two.So now I am goint to calculate the volume of it.
First I need to calc the diameter of the rock.In this scan,
Random Human = 11 px = 1.7 meter.
Rock diameter = 280 px = 43.2727272 meter.
Now this is the scan where you can see rock being split in two.
Here Rocks Diameter = 312 px = 43.272727 meter.
Rock height = 513 px = 71.15034965 meter.
Now the rock wasn't split equally in all front. So I scaled it in top,middle & bottom which gave me respectively 20 px,30 px & 10 px.I am going to use average in this case which 20 px.
Split width = 20 px = 2.77389
Volume = L x W x H =8540.4543454 m^3
These split calcs throws me in confusion. I am not sure what value I should use TBH.But Chaos & GM use Fragmentation value in Moria & GM calc respectively so I am going to use Fragmentation here too.
Energy [Fragmentation] = 68323634763.202404149 Joules
Energy [Fragmentation] = 16.329740622 tons.
On the other hand in the scan I circled you can see lots of dust there. So I am going to see what would be the result of pulverization.
Energy [Pulverization] = 1830646388936.55441618 Joules.
Energy [Pulverization] = 437.534987796 tons.
Meliodas Punch = 16.3297-437.5349 tons