Back with yet another Puella Magi calc, this time for Homura's bullet catch feat via kicking Mami's ribbon upward which is a lot more impressive than it actually looks. This will finally cement the speed for low tiered magical girls alongside the already calced power they possess. Let's find out now.
- First, measuring the distance in which the bullet moved. The gun that Homura used in the scene appears to be a Walther P5 by its design. The bullet length is at least 1.008 cm.
99.6 ÷ 211.1 = 0.472
1.008 × 0.472 = 0.476 cm
- Now for the distance that Homura's leg traveled. Presuming a roughly 180 degree kick motion, I simply have to find half the circumference using her leg length as the radius. Homura's official height is 158 cm.
238.1 ÷ 453 = 0.525
158 × 0.525 = 83 cm
2 × 3.14 × 83 =521.24
527.8 ÷ 2 = 260.62 cm
- Now to compare the speed of the leg swing to the bullet with 360 m/s as a low-end based on the Walther P5's actual muzzle velocity and 1,422 m/s for high-end based on the .220 Swift considering magical girl bullets far exceed real life small arms in velocity anyway thanks to magical amplification, justifying the high-end.
260.62 ÷ 0.476 = 547.521
547.521 × 360 ÷ 340 = mach 579.73
547.521 × 1422 ÷ 340 = mach 2,290
Massively hypersonic to massively hypersonic+, which scales to other low tier magical girls such as Sayaka Miki considering Homura Akemi is statistically the slowest magical girl alongside first timeline Madoka Kaname.
Final Result: Mach 579.73 to 2,290
Just another attempt at image scaling calcs, this time for Waldstein's Infinite Worth from Under Night In-Birth.
-Waldstein's official height is 2.56 meters tall. I will attempt to find the cubicle size of the rock that was shattered (included the depth of what the ditto Waldstein was driven through). This only accounts for what is shown on-screen seeing as Katastrophe extends beyond that, but I have no idea just how much farther that is and thus I have to settle with a low-ball.
Vertical: 35 ÷ 5 × 2.56 = 17.92 m
Horizontal: 43 ÷ 5 × 2 × 2.56 = 44 m
17.92 × 44 × 44 = 34,700 m^3
-Granite density is 2,800 kg/m^3
34.7e+4 × 2800 = 97.14 million kg
-The first chunk of rubble takes less than a second to reach the top of the screen, so, a second should do here. Using a KE calculator, I get...
3.728 kilotons of TNT
Small town level+ for Katastrophe, which should scale to the rest of the UNIB cast to some extent or another.
Final Result: 3.728 kilotons of TNT
With my recent love for PMMM only getting stronger, I figured I'd do more calcs for the franchise. This time, two-in-one. Let's cut to the chase...
First calc will be finding the parameters of Patricia's labyrinth, which is explicitly stated in her official card to contain a sky. The dimension is big enough to contain an entire sky that is above cirrostratus clouds. Cirrostratus clouds range from an altitude between 5,500 to 13,000 meters high. The planetary parameter calculator for that height gives me a horizon distance of 265 to 407 km. Plugging in those figures as radius into this nuke calculator, I get...
55.1 to 202.2 gigatons of TNT. Island level to island level+ Witch.
Tsukuyo Amane from Magia Record summons an energy blast all the way from the Moon in a short timeframe as her attack. The blast launches at roughly 0:05 to 0:09 for the entire duration or 0:05 to 0:07 just for the light to simply reach the screen, making it approximately 2 to 4 seconds to reach her targets on Earth. The distance between the Moon and Earth is 3.844e+8 meters.
3.844e+8 ÷ 4 ÷ (8.81e+5 × 340) = 0.32 c
3.844e+8 ÷ 2 ÷ (8.81e+5 × 340) = 0.64 c
Relativistic to relativistic+.
Power: 55.1 to 202.2 gigatons of TNT
Speed: 0.32 c
After rewatching PMMM, I've had a new found appreciation for the series to which I wished I'd have acquired years prior, but let's make another wish come true instead. Here, I'll be looking at the size of Elly's labyrinth and the approximate estimate it would require to create it via dimensional manipulating area of effect. Simple and straightforward, let's cut to the chase.
Starting from 20:20 up to 20:26, Sayaka upon her first witch hunt mission mows down Elly all the way to the very bottom of the labyrinth, generating a sonic boom in the process. The previous point means I can presume that Sayaka was moving at least mach 1 or 343 m/s. Keep in mind that this will be highly low-balled since we still do not get to fully see the entire size of this dimension and my choice of minimum speed requirements.
6 × 343 ÷ 2 = 1.03 kilometer radius
Playing around with the nuke calculator for air blast radius, I get about 50 kilotons of TNT. Considering Sayaka managed to defeat Elly with ease, this scales to her and this is amusing considering she's one of the weakest magical girls in the series. Yep, town level minimum for an ungifted rookie magical girl.
Final Results: 50 kilotons of TNT
Gonna be doing two SEGA based calcs, surprisingly not Sonic the Hedgehog as most were probably expecting and instead for two classic franchises that have been missing out in recent times. Now, for the feats and calcs...
1. Golden Sol
A team spell exists in Golden Axe 3 involving the summon a miniature star to nuke the battlefield. Considering the spell is officially named "Sol," it's safe to presume its properties are closer to that of our Sun on a smaller scale. I'll be using the same method as I did for this calc. Kain Grinder doesn't have an official height, but given he looks strikingly similar to Ax Battler, I'll settle with 1.8 meter for this. I'll be using this to scale the basis for the miniature star's radius.
Star = 1,532 pixels
Kain = 135 pixels
1532 ÷ 135 × 1.8 = 20.427 meters
20.427 ÷ 2 = 10.214 meters
Through the other blog's calculator for gravitational potential via earth's gravitational acceleration of 9.8 (the minimum needed to overcome Earth's gravity) and Ax' weight to substitute Kain's, which is 90 kg, I get...
Nuclear fusion of the Sun is 6.5e+10 j/g.
1.702e+11 × 6.5e+10 ÷ 4.184e+9 = 2.644 teratons of TNT
Since the miniature star was conjured by two warriors, this gives them 1.322 teratons of TNT worth of magical power each. Barely breaches just above the minimum for small country level, just about where I predicted it.
2. Burning Knuckle
Throughout all of Axel's variations of his dash attack, they all depict his punches being of such intensity that they literally ignite the air around his arm. It requires at least mach 23 to ignite the air with sheer friction. Axel Stone is officially 75 kg (real punches actually involve putting your own body weight behind them btw). Plugging those numbers into a kinetic energy calculator, we get...
2.3 GJ or 0.55 ton of TNT, making the Streets of Rage main cast of heroes and villains solidly building level.
Sol Spell: 2.644 teratons of TNT
Streets of Rage Power and Speed: 0.55 ton of TNT and mach 23 reactions/combat speed
My first calc for 2018 and I finally get off my ass after my 10 month hiatus from doing any of that stuff. A simple and straightforward feat to start things off here. Feel free to reference this calc for feats involving such a situation like this. Anyway, what we'll try figuring out here is the energy output of the Sun within its entire lifetime.
- According to this article, the Sun outputs 3.86e+26 watts and the lifetime of the Sun is 10 billion years.
10 billion years = 3.147e+17 seconds
3.147e+17 × 3.86e+26 = 1.215e+44 joules
- 1 FOE = 1e+44 joules
1.215e+44 ÷ 1e+44 = 1.215 FOE
There you have it, large star level+ for the total lifetime energy of the Sun.
Final Results: 1.215 FOE
Good ending where Mildred is defeated, the floating island no longer can be supported by her power. Let's see what we can get out of this.
-Since the floating island is depicted just below the clouds, I'll use troposphere altitude of 20 km. Since this event is taking place in Japan, I will use the anime art suggestion of an average Japanese woman's height of 7 heads tall, which should serve as a basis to scale the ground (best I have since the rest of the view is out-of-frame).
66 ÷ 10 = 6.6
20 ÷ 3.3 = 6 km
-Assuming the floating island as cone shaped, I will usethis calculator to get island volume.
-Granite has a density of 2,750 kg/m^3
2.267e+11 × 2750 = 6.234e+14 kg
-Height of island is 50 grids.
20 ÷ 66 × 50 = 15.151 km
- Using potential energy, I get...
22.138 gigatons of TNT
Another piece of evidence that Arcana Heart's main cast are island level. Given Mildred held up this floating island with her power passively, this should be casual for the likes of her, strained effort for those beneath her whom she still lost to.
Final Results: 22.138 gigatons of TNT
A Maiden's Heart is Fickle!
Angelia's Critical Heart drops a big meteorite on her opponent. You know where this is going.
-Firstly, Angelia is 1.1 meter tall and granite density is 2,750 kg/m^3.
48 ÷ 8 × 1.1 = 6.6
65 ÷ 8 × 1.1 = 8.94
-Plugging the figures here, we get 204 m^3.
204 × 2750 = 5.61e+5 kg
-Given passing meteors need to at least be in geosynchronous orbit to be captured into Earth's gravitational field, I'll derive speed based on the meteorite taking two seconds to crash onto the battlefield.
3.5786e+7 ÷ 2 = 1,7893e+7 m/s (mach 52,626)
Since it's only subrelativistic+, I can use Newtonian KE for this through here to get...
21.464 gigatons of TNT
Solid island level that can be scaled to pretty much any major Arcana Heart character as they've fought and defeated Angelia in a prior game. I should find more stuff just to get some consistency though.
Power: 21.464 gigatons of TNT
Speed: Mach 52,626
Gamindustri Goes Out With a BOOM!
The main villainess of Hyperdimension Neptunia is called Arfoire, who wishes to destroy Gamindustry and comes damn close to accomplishing her goal. Since she was going to destroy Gamindustri through clashing them all together, this leaves only low-end assumptions at this point.
-Gamindustri is made up of four landmasses with a population of 493,824 citizens in total. The average for Earth's human population density is 13.7 people per km^2.
493824 ÷ 13.7 x 1e+10 = 3.6e+14 cm^2
-The height for continental rise is 3,000 meters high.
3.6e+14 x 3e+3 x 100 = 1.081e+20 cm^2
-Soft and violent fragmentation of granite is 8 to 69 j/cm^3 respectively.
1.081e+20 x 8 ÷ 4.184e+9 = 206.76 gigatons of TNT
1.081e+20 x 69 ÷ 4.184e+9 = 1.783 teratons of TNT
-Since this applies for all four landmasses...
1.783e+12 ÷ 4 = 445.75 gigatons of TNT per nation
2.068e+11 ÷ 4 = 51.7 gigatons of TNT per nation
Island level to island level+ for each landmass, island level+ to small country level for all four landmasses combined, the latter could be most likely since all of Gamindustri was going to be destroyed. This was going to be accomplished by Arfoire, who likely gets the high-end, and the CPUs should powerscale to the low-end of this at the very least. This calc is fairly conservative to boot.
-Since the citizens of Gamindustri are the was lending power to the CPUs that defeated Arfoire, they should get a very small fraction of this power each.
2.068e+11 ÷ 493824 = 418.8 kilotons of TNT
1.783e+12 ÷ 493824 = 3.61 megatons of TNT
Town level+ to small city level+ per citizen and the CPUs in their human forms shouldn't really be any weaker than an average citizen.
Arfoire and CPUs' power: 206.76 gigatons to 1.783 teratons of TNT (Arfoire's low-end to high-end), 51.7 to 445.75 gigatons of TNT (each CPU's low-end to high-end)
Power of each citizen: 418.8 kilotons (low-end) to 3.61 megatons (high-end) of TNT
Power of the Creator
What is being described here is that Chakravartin is essentially pulling in the Milky Way Galaxy to himself at the very center of said galaxy. Obviously, he has to be stronger than the galaxy's own rotational energy to be doing that in the first place. I'm not exactly convinced that Asura's Wrath top dogs can only be solar system level+ at best.
-Mass of the Milky Way Galaxy is about 200 to 600 billion solar mass. Galactic rotation is 270 km/s. Plugging all values into this calculator gives me...
1.45e+52 to 4.35e+52 joules
-1 FOE = 1e+44 joules
1.45e+52 ÷ 1e+44 = 145 megaFOE
4.35e+52 ÷ 1e+44 = 435 megaFOE
So, small galaxy level+ either way you cut it. Given Chakravartin did this passively while not in his final form, which is even stronger, this likely makes it a casual show of his power too.
-From 1:46 to 2:12, Chakravartin strikes Asura with his beam. While there are QTE that would normally alter the results, the difference in how fast they are completed are very minor from different gameplay videos I have seen. Just to be fair, I'll add an extra 5 seconds to the result just to be safe.
(120 + 12) - (60 + 46) + 5 = 31 seconds
-Distance from Earth to the galactic center, where Asura and Chakravartin are at respectively, is 2.347e+20 meters apart.
2.347e+20 ÷ 31 ÷ (340 × 8.81e+5) = 25.3 billion c
MFTL+ beam speed. Again, this is not even Chakravartin's final form!
Power: 145 megaFOE (low-end) to 435 megaFOE (high-end)
Speed: 25.3 billion c
This is indeed absurd. Pretty much everything described in that post will be the basis of my calc. 500 billion years in a single Planck Instant. This is essentially a reaction feat.
-First up is actual timeframe of 500 billion years into seconds.
5e+11 × 364.25 × 24 × 60 × 60 = 1.574e+19 seconds
-For every second in 1.574e+19 will be fast enough to pack 1e-43 second.
1e+43 ÷ 1.574e+19 = 1.574e+62 seconds for every 1 second
-Seeing as we have lightspeed reactions according to this being 1 nanosecond at 3.4 meters away, I'll use this as a basis to derive Noo's reaction time.
1.574e+62 ÷ 1e+9 = 1.574e+53
1.574e+53 × 3.4 = 5.351e+53 (535.1 sexdecillion) times faster than light
Eat your heart out, Wally West!
Final Results: 5.351e+53 c
Nova Explosion itself.
Exactly as what you're witnessing for yourself, the Fodra Queen creates and throws a miniature star at your party in Tales of Graces. It should be noted that this Blast Caliber is a scripted quick time event that gets followed by Blue Earth from the party in retaliation to defeat her, so, this should be a legit in-story thing and therefore canon. Now, let's get to it.
-First off, just going to let you all be noted that Asbel is 1.75 meters tall. Asbel stands 5 grids tall and the mini star has a diameter of 117 grids as shown below.
117 ÷ 5 × 1.75 = 41 meters
-Seeing as this mini star somehow retains a spherical shape, I think it's fair to base it off of Earth's gravity at the very least (not to mention the Fodra Queen creates a black hole with an immense gravitational pull in a later arte anyway, justifying such a high gravitational binding to form a spherical shape... I'm not going to really calc the black hole seeing as it likely may not even be all that realistic anyway), which is 9.8. I will apply the radius of the mini star to derive surface gravity from this gravitational potential calculator in relation to Asbel's weight.
9.496e+11 kg (9.496e+14 g)
-Nuclear fusion of the Sun is about 6.5e+10 j/g.
9.496e+14 × 6.5e+10 ÷ 4.184e+9 = 14.752 petatons of TNT
Solid continent level for the Fodra Queen, and seeing as the party of seven defeats her with Blue Earth...
1.4752e+16 ÷ 7 = 2.11 petatons of TNT for each party member
Still barely within the continent level range, and best part? The nuclear fusion of the sun is for each second, so, this is likely a pretty casual feat to begin with if we take the Arte's name implying the mini star explodes its power. I get my stronk Sophie.
Final Results: 14.752 petatons of TNT (Fodra Queen), 2.11 petatons of TNT (each party member)
So, the strongest variations of these beam cannon weapons can do this, although I feel the result will come in handy for quantifying future feats involving fragging a planet's core.
-Earth's core has a diameter of 240 million centimeters. The volume of a sphere will be found in cubic cm.
(2.4e+8 ÷ 2)^3 × 3.14 × (4÷3) = 7.234e+24 cm^3
-Earth's core requires 360 KJ/cm^3 to fragment at the very least.
7.234e+24 × 3.6e+5 ÷ 4.184e+9 = 622.48 exatons of TNT
Small planet level to crack the Earth's core.
Final Results: 622.48 exatons of TNT
For Your Information
So, Guilty Gear Xrd introduced a fairly baffling feat that was revealed by scientists in-universe that Justice contains the information of a galaxy cluster. Yes... a friggin' galaxy cluster. This will likely yield an equally massive result in this case and I would agree that a bunch of futuristic scientists are credible enough. Now, on to the calc.
-The galaxy cluster is at least 100 galaxies. A dwarf galaxy has two orders of magnitude less stars than the Milky Way Galaxy holds at least 100 billion stars.
1e+11 ÷ 100 = 1e+9 stars (dwarf galaxy)
-There are 1e+58 bits in the entropy of the Sun and information-energy equivalence is 4e-21 joules/bit.
1e+58 × 1e+9 = 1e+67 bits
1e+58 × 1e+11 = 1e+69 bits
(1e+67 × 100) × 4e+21 = 4e+48 joules
(1e+69 × 100) × 4e+21 = 4e+50 joules
-1 FOE = 1e+44 joules
4e+48 ÷ 1e+44 = 40 kiloFOE
4e+50 ÷ 1e+44 = 4 megaFOE
Small galaxy level either way you put it. Low-end should be sensible for Justice (and others on her tier including Sol w/limiter on, Raven, etc) while high-end is pretty sensible for where top tiers are at (Sol w/out limiter, Slayer, That Man, etc).
-The human brain can store 1 petabyte (8 petabits).
1e+67 ÷ 8e+15 = 1.25e+51 times human
1e+69 ÷ 8e+15 = 1.25e+53 times human
This is likely a mental resistance feat seeing as Justice had to bear with this kind of information, but I wouldn't use this beyond an alternative to the energy value not being accepted tbh.
Energy Capacity: 40 kiloFOE (low-end) to 4 megaFOE (high-end)
Memory Capacity: 1.25 (low-end) to 125 (high-end) sexdecillion human minds (contested)
So, a group of Pikachu can cause a thunderstorm with their combined power. Should be interesting to see how powerful an average Pikachu would be. It may even be shocking.
-A thunderstorm generates a total of 1e+15 joules. 1 ton of TNT = 4.184e+9.
1e+15 ÷ 4.184e+9 = 239 kilotons of TNT
-Thunderstorms last 30 minutes. 1 second should be reasonable as an assumption.
2.39e+5 ÷ (30 × 60) = 132.8 tons of TNT per second.
-Since it describes the group of Pikachu as "several," I will go for the grammatical minimum of "many," which is 5.
132.8 ÷ 5 = 26.56 tons of TNT
City block level for your generic wild Pikachu.
Final Results: 26.56 tons of TNT