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Viewing blog entries in category: Calculations

Who would have though I'd be doing calc about nerdy ass voice actirs playing D&D, but here we are
So in ep.109, Vecna, after ascending to godhood gradually covered the whole of Exandria in dark clouds as a minor miracle.
DM states that it was 12 hours in by the time VM noticed it and it would take roughly 12 more hours until it covered the whole world.
statement can be found here
on 1:31:44
So to figure this out I'll find out just how big is exandria
According to this map of the continent of Tal'Dorei it's lenght from bottom to top is 861.3 miles, or 1386.15 km
Now using the only available (albeit unofficial) map of the planet I can get some measurements
So 52px= lenght of Tal'Dorei = 1386.15 km
therefore the blue line which is half of Exandria's circumference = 130.5 * (1386.15/52)= 3478.7 km
The entire circumference being 6957.4 km
plugging said value into the sphere calculator we get:
r = 1107310 m
V = 5.68717E+18 m3
A = 15408100000000 m2
For the calc itself I'll be using the same bethod used by iwan for a similar feat;
With cloud layer thickness being about 2000 meters, and Exandria's surface are being 15408100000000 m2 then
Cloud volume= 15408100000000*2000= 30816200000000000 m^3
density of air is 1.225 kg/m^3
Mass= 30816200000000000*1.225 = 37749845000000000 kg
Timeframe is roughly 24 hours = 86400 sec
Velocity of cloud expansion = 6957430/86400 = 80.52 m/s
Ke= 0.5*37749845000000000*(80.52)^2 = 122392662708908235308.6955 J, or 29.25 Gigatons of TNT 
Some more of the shit epic mages can do in D&D
To put this simply, the Simbul, an epic level wizard could fight off a company of high level devils, open a portal to the prime material all the while using a spell to fling a mountain halfway across Hell to use as a tactical nuke that shakes the entire layer.
To calc this feat I'll need three things: Size of that rock, distance and timeframe
Distance is easy, its stated she boosted the thing from halfway across Avernus, the first Hell
From this we can infer that the radius of Avernus is 6607 miles, or 10633.17 km
So planetary proportions.
Next, for timeframe, the Devils note sensing a strange magic right before Simbul showed up.
They then chase her for a while until the mountain drops, noting that this must be what they sensed . So a matter of minutes, not hours from the rock to travel there.
I'll be using 10 minutes as a conservative estimate.
Now for size.
Narration states that a mere fragment of the rock is the size of a castle.
How large is a castle? well, D&D is based on highmedieval period Europe, England specifically.
So lets see, how large were castles back then by using Warwick castle in England as a model
From pixel scaling I did (couldn't find an exact figure on google), the area of the castle seems to be roughly 1 Km^2.
Also the towers of the castle range in 4044 m for height.
So what I'll do is model the mountain as a pyramid that is x10 times the castle.
So we have a pyramid that is 10 km^2 in base and 400m tall.
Said pyramid would have a volume of 1333340000 m^3
Density of granite rock is 2700 kg/m^3
So, m=2700*1333340000= 3600018000000 kg
Now for speed
v=d/s= 10633.17 km/ 10 mins = 17721.95 m/s
Using a Ballistic Trajectory calculator, I can find the initial speed that fling this thing that far
Giving us a speed of 10,213 m/s, or Mach 30.01
Ke= 1/2*m*v^2= 0.5*3600018000000*(10213)^2= 187750602948321000000 J
or, 44.87 gigatons of TNT 
Figured I'd do this since this is the most OP CBM out there;
You can watch the movie here:
http://putlocker.is/watchfantastic4riseofthesilversurferonlinefreeputlocker.html
Feats directory:
1. Surfer flies to Earth= 2:03
2. Surfer Freezes shit= 3:05
3. SS kills Galactus= 1:21:40

1. Silver Surfer flies to Earth:
Spoiler:
2. Silver surfer freezes Giza
Spoiler:
3. Silver Surfer destroys Galactus
Spoiler:
Final Tally:
Silver Surfer flies to Earth = 0.128c
Silver Surfer freezes Giza= 279.448 kilotons
Silver Surfer destroys Galactus= 636.233 zettatons
SS is still Herald level even as a nerfed movie version 
Finally watched this mediocre flick
time to calc the most impressive feat here
scene for refrence

Okay so, what magneto does as is explanied is extracting metals from earth and the surface and fucking shit up.
From the scene and how it's described he seem to be slowley moving stuff around, but the speed seems constant.
So to calc this I'll figure out the mass he's dealing with and the speed that he's moving it in
Speed can be calced from the scene, as for mass I couldn't find data on how much metal there's on the surface, I have found data on the metals in the crust though, and they seem to significantly outnumber those that humans have used so it shouldn't bring the result down that much.
https://en.wikipedia.org/wiki/Abundance_of_elements_in_Earth's_crust
The metals we care about are the ferromagnetic ones meaning iron, cobalt, nickel, gadolinum, terbium and dysprosium
from the chart we get:
Fe= 56,300 ppm
Co= 25 ppm
Ni= 84 ppm
Gd= 6.2 ppm
Tb= 1.2 ppm
Dy= 5.2 ppm
In total= 56421.6 ppm
ppm= parts per million, with 10,000 ppm = 1% of the weight of earth's crust
so 56,421.6 ppm = 5.64216% of earth's crust
The mass of earth's crust is 2.6x10^22 kg
So we are dealing with 1.4669616x10^21 kg of metal
Now for speed, lets look at how fast was the Sydney opera house breaking off
Building height = 225 px = 65 m
Base level = 45 px = (65/225)*45= 13m
Base level= 13m = 49 px
Total height= 325 px = 86.22 m
These two images show the difference that 5 seconds in video made
So it was moved 21.22 m in that time span
v=21.22/5= 4.244 m/s
Total kinetic energy of Magneto:
Ke= 0.5*m*v^2 = 0.5*(1.4669616e21)*(4.244)^2 = 1.32111158345088e22 J or 3.157 Teratons
Small country level
Apocalypse and Phoenix scale off this too 
Yes ZeXaL is the shittiest YGO series
but also the strongest, and this feat needs calcing
http://kissanime.ch/Watch/75694/yugiohzexalii/episode133/
15:0715:14
Basically, kaito goes to the moon on a shuttle and Mizael follows
except Mizael does it a lot lot faster
The scene makes it seems like Mizael went from Earth to the moon in like 5 seconds
but from the dialogue we can infer that Orbital 7 picked up on his signal after he was closing in on the moon (unless you want to assume he can pick him up the second he leaves earth...)
So EarthMoon distance is off the table
I figured a better alternative would be to assume Orbital picked him up as he entered the Moon's atmosphere.
According to NASA this is how it's organized
so we can see that we can talk about the tighter and more loose atmosphere
I'll use them as a high and low end.
Tight atmosphere distance= roughly 3 Lunar radii
Moon's radius= 1,737 km
TAD= 3*1737= 5,211 km
Timeframe= 7 seconds
Lowend Speed= 5211000/7= 744428.57 m/s or Mach 2187.63
Loose atmosphere distance= 8 Lunar radii
LAD= 8*1737=13,896 km
Highend speed= 13896000/7= 1985142.857 m/s or Mach 5833.68
So either way quad digit mach speed Barian Emperors
(Oh and in case you're wondering, calcing this with EarthMoon distance is relativistic) 
So found this overlooked little thing, lets see if we can make something out of it
Lets figure out how power it takes to do that
5.45 trillion yards^3 = 4.16 trillion m^3 = 4.1668239760128e+18 cc
This is rock we're talking about, and to carve it out smoothly like that, you'd need to pulverize it not just crack it
Pulverization of Rock = 214.35 j/cc
Energy required to carve the grand canyon= 4.1668239760128e+18 * 214.35 = 893158719258343680000 J , or 213.47 gigatons of TNT
That's the sum total of energy you'd need, but obviously this didn't happen in an instant considering the shape of the canyon
So assuming she did it over time, I'll split this over three time frames
high end= 1 hour
mid end= 1 day
low end= 1 week
High End: 213.47 GT / (3600) = 59.297 megatons of TNT per sec. (City level)
Mid End: 213.47 GT / (86400) = 2.47 megatons of TNT per sec. (Smallcity level)
Low End: 213.47 GT / (604800) = 352.96 kilotons of TNT per sec. (Town level+)
Now these result are inline with the statements we've heard in regards to angel power in the show. 
Lets try to put a number on that shall we?
first of all,
what exactly is Atlas lifting in GoWverse?
Well we know the world is a planet like our own from Ascension, and we know the underworld is literally underground and atlas lifts the mortal world above it
WoG clarifies that it is the crust of the earth that Atlas is supporting instead of the damaged Pillar of the World

Okay to calc this I'll first get Atlas' height
Kratos' height = 22 px = 1.96m
Atlas' Eye ball (horizontally) = 106 px = 9.44 m
For an average human, the eyeball length would be 24.8 mm, or 0.0248 m
So Atlas' eyeball is 380.791 times larger
An average human is about 1.72m tall, so applying the same ratio we can put Atlas' height at about 654.96 m, a titan indeed.
To get energy out of this I am going off the assumption that if atlas can hold the thing above his head for years without tiring and even hold it with just three out of his four hands without extra strain then he can probably lift it at least 20% of his total height.
Another thing to note is that g would be higher as he is closer to the planet center (it should be around 10 from what I've found), but I'll use the lowest value for earth's surface to lowball (that'd be 9.7)
1/5th of Atlas' height is 131 m
The mass of earth's crust is approx. 2.6e22 kg
PE for that would be= 2.6e22*9.7*131= 33038200000000000000000000J, or 7.896 Petatons of TNT
Even if you want to cut it by 4 for each of his arms its still nearly 2 Petatons.
If you want to go with the full height then that would be
2.6e22*9.7*654.96= 165180912000000000000000000J, or 39.48 Petatons. 
Feat in question is from IM3
http://putlockerr.ac/tt1300854watchIronMan3onlineputlocker.html
1:24:50
Tony gets the alarm on his Dora watch that the armor finished recharging so he summons it.
He is in Miami and he left the armor back in Tennessee.
From the video I found that it arrived within 84 seconds from the moment he summoned it.
Distance from Miami to Tennessee varies, so I'll just use the figure mentioned in the movie
and so
v=1338970/84= 15940.12 m/s or Mach 46.8
Hypersonic+ Ironman confirmed 
So in this ep. from S6 Dean thinks the source of the problem plaguing this city is an item known as "Gabriel's horn of Truth".
He calls cas and asks him for help, so he zips around and...
https://youtu.be/dJiNO_k7BRc?t=94
From the video is seems he was actually gone for 6 seconds.
Now, the city in question is Calumet City, Illinois which has the land area of 18.6 km^2
this is 18,600,000 m^2
Considering it is a small item he's looking for and that he has to go into buildings and rooms I think a fair lowend estimate is that he'd be able to spot it from 5m away in both directions, so I'll divide the area by 10 to get the distance.
Distance traveled= 1860000 m
Search speed= 1860000/6= 310000 m/s or Mach 910.9
*You could argue there was teleporting involved in this, but the speed should still apply to reactions since Cas would have to actively look for and process information that fast. 
So this came up, and I calc'd it
[YOUTUBE]Fn8w30rsVUE[/YOUTUBE]
2:172:28
Calc:
Spoiler:
Final Tally:

It's time we look into that uncalculated speed feat of Mjolnir in The Dark World.
[YOUTUBE]oBruqUp3cI[/YOUTUBE]
2:052:20
Thor falls off a tower and summons his hammer that was already out of the atmosphere.
Mjolnir comes back and misses him by the nick of time as he falls into another portal.
Calc:
Spoiler:
Final Tally:

A simple enough calc, and I was bored.
And yeah, I know the movie sucks, but mags is far from being the reason.

[YOUTUBE]ITMren3I3WM[/YOUTUBE]
"Charles always wanted to build bridges"
Calc:
Spoiler:
Final Tally:

I'm bored so I decided to look at some stuff from SPN toptiers.
These two calcs are based on statements. However, both these statements have been repeated a couple of times and taken at facevalue in the show, so I figured I'd try to put a number on em.
1. Lucifer & Michael attend a BBQ
Spoiler:
2. Castiel has an happy accident
Spoiler:
Final Tally:

So the other day I posted this:
http://www.narutoforums.com/blog.php?b=33840
And figured I'll try to calc the first two feats on this list
Hopefully I've found a way to make them quantifiable.
So, anyway, let's get to it.

1. Azuth and Savras blow up a mountain
Spoiler:
2. Selune and Shar shape the material plane
Spoiler:
Final Tally:

So my second calc is a bit more complicated than my first.
In episode 75 of Arc V, Shun summons Satellite Canon Falcon that proccedes to fly into orbit and nuke Antique Gear Chaos Giant, completely vaporizing it.
the feat itself:
Spoiler:

now for the calc
Speed:
Spoiler:
dc:
Spoiler:
Final Tally:
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