#Calculations

[gilded-sunrays]

How fast is Yoriichi Tsugikuni? || Calculating his minimum speed

[Full ver. on AO3]

Yoriichi Tsugikuni is regarded as the most powerful character in Demon Slayer, with him being able to rival and overpower the demon king himself, Muzan Kibutsuji. He is renowned for his exceptional speed and agility; however, the true extent of his speed remains uncertain due to the lack of comparable benchmarks. 

Therefore, today I will make an effort to estimate the minimum speed of this character. From here, you are free to interpret and use this information as you see fit. 

[Note: I have skipped over and cut out a lot of things to keep this post short and easy to digest, however, if anyone is interested in a more in depth discussion of the reasoning, the complete post is available on AO3 via the link provided above.]

⚠ SPOILER WARNING ⚠

⨳ Muzan's Detonating Speed:

To begin, let us examine this image. If we want to determine Yoriichi's speed, then we obviously have to know the relative speed of some other body that we can compare it with. In this case, we will consider Muzan's explosion, ie, his detonation velocity:

Detonation velocity depends on a number of factors, such as density, it's state, charge diameter and temperature. For solids and liquids, these velocities usually range from 4000 m/s-10300 m/s.

⇒ Hence, to remain neutral, we can safely conclude, that muzan likely detonates with the minimum speed of 4000m/s.

⨳ Yoriichi's Attack Range and the Time Needed For Him to Cut All the Peices of Muzan

To evaluate Yoriichi's speed, we will first calculate the total time it would take for him to react and effectively cut all of Muzan's pieces before he has the chance to escape.  

So for that, first, we need to determine Yoriichi's attack range by measuring his arm length:

We know Yoriichi is approximately 6.3 feet tall, which is about 2.6 times the length of his arms. Based on this, we can conclude his arm to be around 73.07 cm. + sword length (we'll take the average of 65 cm)    ie = 1.381 m So, the maximum time needed for him to cut down muzan would be: ∴ 1.381 ÷ 4000

⇒ ~0.000345 seconds

⨳ Distance Covered By Yoriichi:

Since we already have the time range, let us now find out the distance covered by Yoriichi. How can we do that? We can begin by figuring out the total distance Yoriichi's arms cover while swinging the sword:

To do this, let's refer to the image above. If we examine it closely, we can see that Yoriichi creates arcs with his sword, forming almost a complete circle. Let us assume that he makes 2/3rd of a circle.

To find the arc length, we will use 2πr × 2/3 Radius: Yoriichi's arms and sword  ∴ 2 × 22/7 × 1.381 × 2/3

= 5.786 m is the approx length of each slash

⨳ How Many Slashes Did Yoriichi Make?

To finalise, we will check how many slashes he made to cut muzan. Clearly, he wasn't making just one slash for each cut, as that would be very impractical. So, let's see how much work he is doing here: 

Once again, in the image above, we can see that he cuts multiple pieces of Muzan with each slash. The picture shows him cutting 4 pieces with one slash and only 1 with another, with one piece just hovering, so the average:

(4 + 1) ÷ 2 = 2.5.  

Now, he also mentions that he cut around 1500 pieces of Muzan, so we can divide to find the total number of slashes he made. That is:

1500 ÷ 2.5

⇒ ie; He made 600 slashes during that time. 

⨳ Yoriichi's Average Striking Speed

Finally, for the moment we all have been waiting for. The speed by which Yoriichi is moving his arms would be: 

n(number of slashes)×distance covered by Yoriichi/max. time frame  = (600×5.786)/0.000345

~10,062,608.696 m/s

For Comparison: this is about 29,337 times faster than sound.

▪︎Have you guys ever played fruit ninja before? If you have, just picture Yoriichi taking on that game in real life; Number of slashes [1/T]= striking speed/ distance covered (gonna take 1/3 of the circumference of his slashes) Ie n= 10,062,608.696 ÷ (1/3 × 2 × 3.141 × 5.786) ∴ Slashes per second= ~ 831,361 So, if you were to toss about 8 hundred and 31 thousand fruits into the air, Yoriichi would be able to slice through them all in just one second!

⨳ Yoriichi's Average Running Speed

So we have found out Yoriichi's striking speed; however, that doesn't tell us anything about how fast he can run. Since we're already looking into Yoriichi's speed, why not find out about his running speed as well? 

"In an average person, the legs are able to push roughly four times as much weight as the arms can pull. What's more, the legs have an even better advantage when it comes to endurance." 

After doing some derivations (which you can check in the longer ver.); the legs must also be about 4 times faster than the arms.

Ie: 10,062,608.696 m/s ×4

= 40,250,434.784 m/s

For comparison: The speed of light, 299,792,458 m/s is only about 7× faster than Yoriichi's running speed. ▪︎If Yoriichi were to complete the circumference of the earth, the time required for this would be: Earth's circumference: 40,075,000 meters Ie: 40,075,000 ÷ 40,250,434.784 = 0.996 seconds [Wow, now thats fast o..o] So imagine, if you ever find yourself missing a flight and in desperate need to get somewhere, all you have to do is call Yoriichi. He’ll have you zooming off faster than you can say “I missed my flight"!

poor muzan..

-> The distance between two countries [say, Japan to brazil] would be about 17,371 km (pretty sure it's not the road distance, so lets just just imagine Yoriichi can run on water lol!!) Time=d/s = 17371000/40,250,434.784 0.4 seconds to reach there!!

Fun fact: This pace equates to covering the entire circumference of the Earth approximately 29,348,102 times.. (29 million times) in only 4 months

⨳ Final Thoughts:

A/N: I know this is a repost, and I felt a bit guilty about making my previous post too technical and barely understanable. So, I decided to simplify it for Tumblr. But anyways, I truly hope this post proves helpful to someone out there who might find this interesting.

And to anyone who made it till here, I thank you wholeheartedly!! You’re amazing for sticking with all this. If you notice any mistakes, please don’t hesitate to let me know!

[zetrystan]

We need more characters in media that are just plainly and deeply stupid.

[withkyle]

Math is a vast and diverse field with many fascinating branches. Here are some of the most important ones:

Calculus: A branch of mathematics that deals with continuous change. It allows us to study how things change over time, analyze motion, and calculate quantities that vary continuously.

Differential Calculus: Focuses on rates of change and slopes of curves. The key concept is the derivative, which measures the instantaneous rate of change of a function at a specific point.

Integral Calculus: Deals with accumulation and areas under curves. The key concept is the integral, which represents the area under a curve and can be thought of as the reverse of the derivative.

Other important branches of mathematics:

* Algebra: The study of symbols and the rules for manipulating them.

* Number Theory: Delves into the properties of numbers, particularly integers.

* Geometry: Deals with shapes, sizes, positions, and dimensions.

* Trigonometry: Focuses on the relationships between the sides and angles of triangles.

* Statistics and Probability: Deal with collecting, analyzing, interpreting, and presenting data, and the likelihood of events occurring.

* Linear Algebra: Deals with vectors, matrices, and systems of linear equations.

* Discrete Mathematics: Focuses on structures that are discrete rather than continuous.

* Topology: Studies properties of shapes that remain unchanged under stretching, bending, or twisting.

* Logic: Explores the principles of reasoning and valid inference.

* Set Theory: Deals with collections of objects (sets) and their properties.

* Combinatorics: Studies ways to count and arrange objects.

* Differential Equations: Describe relationships between functions and their derivatives.

* Numerical Analysis: Develops algorithms for solving mathematical problems using computers.

* Game Theory: Studies strategic decision-making in situations with multiple players.

* Chaos Theory: Studies systems that exhibit seemingly random behavior but are deterministic.

This is still not an exhaustive list (there are more math subjects!), but it gives you a glimpse into the incredible breadth and depth of mathematics. Each of these branches has its own unique beauty, challenges, and applications, contributing to the ever-expanding world of mathematical knowledge.

[joker00m]

I got bored So i decided to caculate how tall miss circle from fundamental paper education is

In this shot we can See her holding a piece of paper. Which i asumed is in letter format since its the most common one, which is 8.5 × 11 inches which luckly is similar sized to her head meanings that her head is 8'5 inches in height.

And using that we can caculate that in this shot miss circle is 12 heads tall which is 102 inches tall which is 8,5 feet tall

I don't know how she fits in any doorways (my calculations might be off and thats why lol)

[croquis-el]

At some point, I became curious about how many generations of the Naruhodo family separate the first (Ryunosuke) and last (Ryuichi) lawyers of this family. And whether Ryu Jr. could have seen his ancestor in person.

So I decided to do some calculations and share my thoughts with you.

Disclaimer: everything written below is subjective and is based on generally known information about the characters. The calculations are approximate and may be inaccurate.

The first thing you can calculate is how much time passed from the birth of Ryunosuke to the birth of Ryuichi.

Ryunosuke Naruhodo is 23 years old at the time of his appearance in the game.

The action begins in 1901, which means his year of birth is 1878 (Meiji 11)

Ryuichi Naruhodo turned 24 on August 3, 2016 (by long calculations and comparison of all dates, his birthday is somewhere between April and early August - if you want, I will write about this in detail later)

And so the year of his birth is most likely 1992 (Heisei 4)

Then simple math 1992-1878 = 114 years passed between the birth of our heroes

So, it is unlikely that our contemporary saw his ancestor (which is basically confirmed by Ryuichi's words in the Special Court in the TGAA DLC)

The next question is - how many generations separate them?

Now we need to calculate the approximate years of birth of parents, grandparents, etc.

I will rely on a well-known and accessible example of a parent in the game - Shin Mitsurugi (Gregory Edgeworth), because the age when people start a family can be very different from what we are used to.

I believe that the ages of Mitsurugi and Naruhodo's parents are not very different, since their children were born in the same year

In December 2000, Mitsurugi's father was "already 34" years old, and from the DL-6 case materials we learn that on December 28, 2001, he was 35 years old. This means that his year of birth is most likely 1966.

This means that Naruhodo's father's year of birth is approximately the same (Showa 41) (and he inherited his surname from his father, because Article 750 of the Civil Code still exists in Japan). And it has existed since 1896, just like this article.

And so little Ryu was born when his father was 26-27 years old

Now grandfather Naruhodo

It is logical to assume that his grandfather is a child born before the Second World War

Let's take this into account and take the age of 27-30 years, which means grandfather Naruhodo was born around 1936-1939 (Showa 11-14)

We got to the great-grandfather (this is not Ryunosuke, because he would have already been almost 60 years old)

Again we take the average age of 27-30 years and get the years of birth 1906-1909 (Meiji 39-42)

And here we finally get to Ryunosuke Naruhodo - the great ancestor

It turns out that he is Ryuichi's great-great-grandfather and they are separated by 4 generations of the famous family

___________________________________________

Everything that is said above is done out of curiosity and for fun, I do not claim that my calculations and assumptions are correct.

To prevent unnecessary questions I will add that I am not a supporter of the theory about moving to another country and changing the surname. (The situation in the world at the beginning of the 20th century was extremely difficult and unstable, add to this the strained relations between countries. Therefore - unlikely.).

[autisticsupervillain]

FTF Calculations: Bottomless Pit

The Mystery Shack crew fell down the Bottomless Pit, which as you can see here is Bottomless.

The gang starts falling at 1:20 seconds and "land" about 21:33. So, they fell for about 20:21 total. This would suggest they fell for about 7310078 meters, via this formula (the Bottomless Pit is still on Earth so I'll assume gravity is the same):

Now the weights of the characters aren't confirmed in sny official source that I can find, so I'll assume 202.5 pounds for the average 58 year old man (Stan). He'd be moving at 11969.86 m/s at the time of "impact" and be generating a kinetic energy equivalent to 1.5 Tons of TNT (Building Level)

So, yeah! That's another point in the "Pines are superhuman" pile, given Stan's old man body can take those forces.

[abiwaif]

Pretty much me right now...😁

[moxalotl0]

$ Pride of White Diamond $

I did the math and assuming that Steven is 4 ft tall, her gem would cost 8+ billion dollars. ($814,143,253,696 dollars) You could also create 35 million 1-carrot diamond rings from her gem.

All of this is ignoring the fact that she’s sentient.

(I did this at 3 am)

[fanaticsnail]

Physics anon here. To the anon taking Physics I, then you should be fine. I hope you get in! Fingers crossed! 🤞🏻🤞🏻

To the math peeps, I am choosing to be Sanji for our duel, bcs even Sanji's flaming kicks are also physics based (/j). I love you all. Your love for math scares me but I also admire you guys because I had 2 breakdowns in my high school years over math (so fun). The only math I like is the "how much percentage in a tax is there" cus that has words and normal numbers. Get algebra away from me.

To the linguistics anon, I love you, be my best friend, I love humanities, I love linguistics, I love psychology, I love sociology, I can talk about them for days! I love humanities, in fact I would argue humanities and literature are sth I ADORE.

PLS GOD LINGUISTICS ANON TELL US SOME OF DOFFY'S LINES AND THE WAY HE SPEAKS, OH AND CROCODILE, TOO, AND ALL THE LITTLE PUNS ODA MAKES.

DO WE HAVE PSYCHOLOGY ANONS HERE BECAUSE EPISODE 723 DOFFY'S LAUGHING FIT I NEED TO TALK ABOUT IT I NEED TO STUDY IT FROM A PSYCHOLOGY POV like my brain is like needy for that like the ideas are there but I cannot put them into words. It sounded like an emotional breakdown and he sounded so sad but also angry so I was not sure whether he wanted a hug or not.

Also, Snail, I do not blame you for that nsfw thought of "how fucked would you be" bcs I had the same thought but was then "oh well 😏"

Okay, so G4 Luffy's speed calc? I'll try to find my notes but if anyone wants to play around it, here are the formulas you'll need & way of solving it all, it's really pretty simple, we are using Hooke's Law of elastic force to calculate Luffy's speed. We're gonna already give the spring constant cus it's easier and it's easier to show just how MUCH force Luffy needs for such speed.

Jet Speed of a commercial plane is 252 m/s. We'll go with this being G2 speed. Okay, easy. We will need a LOT of spring constant to counteract G4 Luffy's weight which is 300kg. Like, a LOT of spring constant. That means Luffy is also using a lot of elastic energy & kinetic force. And I mean above 10 million joules. Then again, joules represent a small amount of energy. It takes 100,000 joules to heat up water in standard conditions, so it isn't that much of a stretch. (Ha, rubber pun.)

Basic thing for this...

Elastic potential energy:

Ep = 1/2 • k • x²

k = spring constant (make it 40 million)

x = compression of the spring (make it 1 meter)

No need to calculate the Ep cus that isn't what we really need, though you can if you want to make the process quicker but this is so everyone understands.

Turn that into kinetic energy:

Ek= 1/2 • m • v²

m = mass of the object, G4 Luffy's weight, 300 kg since he is 4 meters tall in G4.

Equalize them:

1/2 kx²=1/2mv²

kx²=mv²

v²= kx²/m

v= √kx²/m (under the entire square root)

I got 365 m/s. That's 1314 km/h. That exceeds commercial jet-speed.

I can go into details in another post but this is the basics of it, unless you want to start from the actual scratch which I do not recommend bcs that means you have to put more big numbers to get the k that big. Better to already decide what the k is so we can get the big force and therefore big speed. We know the force needs to be big, as Doflamingo said it himself.

"Your punches lack heaviness." aka "Put a billion Newtons in it and then you'll have a shot against me."

To put it in irl perspective, billion joules is the equivalent of about 239 kilograms (527 pounds) of TNT blowing up.

Honestly I'm thinking the force of Luffy's final punch against Doflamingo was at least 8 billion Newtons. It's... A lot, but at this point, there are no limits. It's about 1.8 billion pounds force 👍🏻

Yeah. 😄

Cheers. Don't fight in Snail's inbox, you all from all fields are amazing ❤️

Physics anon. Physics anon. Oh my gosh, I am simply blown away by this calculation. Oh my gosh, the work you've done. I can't wait til chef-husband comes home to share with him this amazing calculation, you have no idea. He's gonna go:

The anon love for one another in my ask box lately is absolutely superb. I love the friendly fire and witty retorts you've all got. Always respect and humour, and I love you all.

The calculations of the hands Doffy caught from our short king of the pirates has me rolling. I'm legit howling.

Keep your equations coming, I love them. Learning through the power of sums and passions of the anons. Superb work 🥰🖤

[ralphrahsaan]

Measurements of space in a past time

[whats-in-a-sentence]

Under highly specialized conditions, quantum mechanics allows for negative energy,¹⁴ but it would be a monumental challenge to generate enough exotic matter to hold a macroscopic wormhole open. (For example, Visser has calculated that the amount of negative energy needed to keep open a one-meter-wide wormhole is roughly equal in magnitude to the total energy produced by the sun over about 10 billion years.)

14. The simplest realization of exotic matter comes from the vacuum fluctuations of the electromagnetic field between the parallel plates in the Casimir experiment, discussed in Chapter 12. Calculations show that the decrease in question fluctuations between the plates, relative to empty space, entails negative averaged energy density (as well as negative pressure).

"The Fabric of the Cosmos" - Brian Greene

[space-salaman]

The Na-Cu System ☀️🌞 The result of some calculations and simulations for where my comics take place. 💻

~ ~ ~

Bsky 🦋 | Twitter 🐦 | FurAffinity 🐾

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[heardatmedschool]

“Thank goodness I didn’t go to nursing school, my brain can’t math.”

[your-stranger-halfblood-things]

Steve high again:

Steve: Bro, according to my calculations, we need to kiss like right now

Eddie: Never bro me again

Steve: I checked the calculator and everyth- *gets kissed by Eddie*

[b0bthebuilder35]