User:GiverOfThePeace/One-Punch Man Calculations

Introduction

This will be a compilation of calculations in One-Punch Man.

Vaccine Man Databook

Vaccine Man's databook notes that he gathers bio-energy from the earth and releases it, creating explosions that can pulverize high-rise buildings.

Calculation

To estimate the energy required for Vaccine Man's blasts to pulverize entire high-rise buildings, we'll break down the problem into several steps. Step 1: Size of the Building
Assume a typical high-rise building has a height of 100 meters and a base area of 40 meters by 40 meters. The volume of the building can be calculated as: Volume = Height × Base Area = 100m × 40m × 40m = 160,000m³

Step 2: Material and Mass
Assume the building is made of reinforced concrete and steel, with the following densities:

Reinforced Concrete Density: 2400 kg/m³ Steel Density: 7850 kg/m³ Assume the building is composed of 80% concrete and 20% steel by volume. The mass of the concrete and steel in the building can be calculated as:

Mass of Concrete = 160,000m³ × 0.8 ×2400kg/m³ = 307,200,000 kg Mass of Steel= 160,000m³ × 0.2 × 7850kg/m<sup3 = 251,200,000 kg

Step 3: Energy Required to Pulverize
The specific energy required to pulverize the materials is:

Concrete Pulverization Energy: 10⁶J/m³ ("Concrete and Masonry Databook" by Christine Beall and "Recycling of Demolished Concrete and Masonry" edited by T.C. Hansen both list energy requirements for crushing concrete, falling within the range of 1 to 10 MJ/m³)

Steel Pulverization Energy: 10⁸J/m³ (Steel is significantly harder to pulverize compared to concrete, requiring much higher energy due to its tensile strength and ductility. The value of ~10^8 J/m³ can be estimated based on the energy required for high-intensity processes like ball milling or other forms of mechanical alloying, where steel is broken down into fine particles. "Introduction to the Mechanical Behavior of Steel" by G. Krauss and "Mechanical Alloying And Milling" by C. Suryanarayana go further into this)

Step 4: Total Energy
The total energy required to pulverize the concrete and steel can be calculated as:

Energy for Concrete = 307,200,000 kg × 10⁶J/m³ = 3.072×10¹⁴J

Energy for Steel = 251,200,000 kg × 10⁸J/m³ = 2.512×10¹⁶J

Adding these together gives the total energy required:

Total Energy = 3.072×10¹⁴J + 2.512×10¹⁶J = 2.54272×10¹⁶J or 6.0772466539196940971 Megatons of TNT, 7-B.

Mosquito Girl's Mosquitoes Speed

Mosquito Girl calls her mosquitoes from a 50-kilometer radius and they all reach her within a short timeframe.

Calculation

We have the distance, now we just need the timeframe, using the anime for this, she calls her mosquitoes at 7:21 and a large amount of them reach her at 7:30, you can find this in One-Punch Man Season 1 Episode 2.

So that is 9 seconds.

V = D/T

V = (50000 meters)/(9 seconds) = 5555.5555555555555556 m/s or Mach 16.196954972465178457, High Hypersonic

Near Light Speed Pebble Throw

Geryuganshoop threw rocks at Saitama which was stated by Murata to be able to throw objects at near-light speed.

Calculation

In this case, he specifically means rocks. Now due to how the sizes of each are decently large, I'll use this site for a basic weigh of rocks, which on average a cubic foot of rock weighs 165.2 pounds.

As they are using near light speed/sub-light along with noting the reason it can do this is that the friction between the rock and air is removed, we'll assume 99% the speed of light for this. The anime further supports this since Gery can make gravity so intense, it's equivalent to a black hole.

So this is a RKE calculation, using this calculator, I get the result of 4.1006221931307569e19 Joules or 9.8007222589167248827 Gigatons of TNT, Island level.

Boros Kicks Saitama to the Moon

During their fight, Boros kicks Saitama to the moon.

Calculation

Need to find the amount of force applied to this.

So Saitama was launched at 8:02 and ended up on the moon at 8:06. 4 seconds.

The average distance from the Earth to the Moon is 384,400 km.

384400000 m/4 s= 96100000 m/s

Now to find the acceleration, we'll just apply the same timeframe.

96100000 m/s / 4s = 24025000 m/s^2

Saitama is 70 kg.

F = ma

F = (70 kg) * (24025000 m/s^2)

F = 1,681,750,000 Newtons or Class M.

For reference as a KE end out of curiosity,

Plugging it into the calculator, I got 3.5048723583117268e17 Joules or Metropolis level/7-A.

Boros and Saitama Fight at High Speeds

During their fight, Saitama and Boros move so fast that the average joe would not be able to follow.

Calculation

Boros' height is 2.4 meters.

Saitama's height is 175 cm.

Row 1
The distance moved was 287 px, Boros was 242 px, making the distance 2.846281 meters.

Row 2
The distance moved was 1357 px, Boros was 148 px, making the distance 22.0054 meters.

Row 3
The distance moved was 3131 px, Boros was 90 px, making the distance 83.5 meters.

Row 4
Saitama height: 69 px | 1.75 meters

The distance moved was 3242 px, Saitama was 69 px, making the distance 82.22464 meters.

The rest of the ones down the line don't have a fully reasonable way to measure them due to perspective and Saitama and Boros not being seeable in it.

Now the total distance: 2.846281+22.0054+83.5+82.22464 = 190.576321 meters

The human reaction time is about 13 milliseconds.

So V = m/s

V = 190.576321 meters/0.013 seconds

V = 14659.717 m/s or Mach 42.7396997085, Massively Hypersonic

Melzargard Instantaneous Attack

Melzargard attack comes out instantaneously.

Calculation

Standard Window Height = 1.5 m

Panel Height = 178.9 m

Distance = 1.5*178.9/[1.5*2tan(70/2)] = 127.74 m

That's the distance Melzalgald's attack crossed. The timeframe of this feat is exactly 3 frames. Anime runs at 25 frames per second.

Timeframe = 3/25 = 0.12 seconds

Speed = 127.74/0.12 = 1532.88 m/s or Mach 4.469037901, Supersonic+.

Gigaki-Gan Stored Energy for Over a Thousand years

Gigaki-Gan is a giant rock formation stored in magma that has been storing energy for over a thousand years.

Calculation

I'll be assuming his rock is basalt as that's a common volcanic rock. Basalt's average density is 2.9 g/cm^3.

As it's rather hard to gauge the general size of the rock creature due to it not having anything really to compare it to beyond being larger than buildings, I'll be using an estimation of 1,000 m^3 as 1,000m ^3 is equivalent to a cubic block that is 10𝑚 × 10𝑚 × 10𝑚 and his size compared to the buildings reflects this.

M = D*V

M = (2900 kg/m^3)*(1000m^3)

M = 2,900,000 kg

Next the temperature change, magma's temperature varies from 700 to 1,400 degrees Celcius. Seeing as he's been sitting in the magma for a thousand years, I'll use 1,400 degrees Celcius.

For simplicity, I assumed the initial temperature of the rock to be around 20°C, which is a common ambient temperature in many regions. This value represents a rock that might have been at the Earth's surface or in a shallow subsurface environment before the volcanic event.

T = Temperature of the magma - The initial temperature

T = 1400C - 20C

T = 1380C

Specific heat capacity of basalt rock is 0.84 KJ/kg or 840 J/kg

Q = mcΔT

Q = (2,900,000 kg)*(840 J/kg)*(1380 C)

Q = 3.36168e12 J or 803.4608030592734 Tons of TNT, City Distrct level.

Atomic Samurai Sword Draw

Atomic Samura draws his sword and does over a dozen slashes before anyone can even process it.

Calculation

It's noted here that the full scale of this ability allows Atomic Samurai to do over 100 slashes per second.

Atomic Samurai is listed at 177 cm.

In this shot, Atomic Samurai hunched over is 1305 px while one of the slashes I could fully measure was 1582 px.

214.5701149425287 centimeters or 2.1457011494252871131 meters

Now multiply it by 100 and we get 214.57011494252871131 meters. Now while the scan does say over 100 slashes per second, the actual shot here is done in less then a second, on top of that the guide also notes it's done within a blink of an eye.

Now the blink of an eye is recorded at 100-400 ms according to studies. Using 100 as the man is a trained sword fighter, we get:

(214.57011494252871131m)/(0.1s) = 2145.7011494252871131 m/s or Mach 6.255688482289466279.

However, we have a better timeframe for this. In this same scene, the guy notes he draws his sword faster than sound, and Atomic Samurai moved so fast he couldn't perceive it at all. Now faster than sound is the bare minimum Transonic, so this will be the assumption. Using the Reactions page, Transonic perception is 3.64e-3 to 2.78e-3 seconds.

(214.57011494252871131m)/(3.64e-3s) = 58947.83377541997563461538 m/s or Mach 171.85957368927105904, Massively Hypersonic.