The Deepest Maths Video Ever [pressure vs depth]

Рет қаралды 296,500

Күн бұрын

Join Team Seas! teamseas.org/ #teamseas
Huge thanks to Richard Garriott de Cayeux and the whole team.
richardgarriott.com/
Here is the raw data as a CSV or you can download my Excel spreadsheet.
www.dropbox.com/s/6lvnqayp7k2...
www.dropbox.com/s/b9s4lyb77gi...
Video of me double-checking the units will be here shortly: / standupmaths
Behold the TRITON 36000/2
caladanoceanic.com/home/techn...
"Revised depth of the Challenger Deep from submersible transects; including a general method for precise, pressure-derived depths in the ocean"
www.sciencedirect.com/science...
All the Gibbs SeaWater Oceanographic Toolbox details you could ever want!
www.teos-10.org/pubs/gsw/html...
Thanks to all of my Patreon supporters funded the DSV Unrealistic. You too can help support me and be part of such cutting-edge fictitious research and development. / standupmaths
CORRECTIONS
- At 14:13 I say the mass "of the submersible" when I should be talking about the mass of water above the submersible.
-At 31:34 I say "grams" instead of "kilograms". Which takes some of the air out of my unit bashing.
- Let me know if you spot any other mistakes!
Filming and editing by Alex Genn-Bash
Additional footage and photos thanks to Richard Garriott de Cayeux
DSV Unrealistic by Jennie Vallis
Music by Howard Carter
Design by Simon Wright and Adam Robinson
MATT PARKER: Stand-up Mathematician
Website: standupmaths.com/
US book: www.penguinrandomhouse.com/bo...
UK book: mathsgear.co.uk/collections/b...

Пікірлер: 969

@Aguila1138 2 жыл бұрын

Phrases on KZfaq that get me excited: Vsauce: "...or is it?" Lock Picking Lawyer: "we'll get the pick Bosnian Bill and I made" Matt Parker: "so I put it in a spreadsheet"

@QuantumHistorian 2 жыл бұрын

I see you're a man of refined taste too

@gabor6259 2 жыл бұрын

SmarterEveryDay: "laminar flow" Chubby Emu: "emia, meaning presence in blood"

@HagenvonEitzen 2 жыл бұрын

Those are exciting phrases, I decided

@knarf_inc4790 2 жыл бұрын

"FULL BRIDGE RECTIFIER !!!!"

@Hevlikn 2 жыл бұрын

Not Just Bikes: "But I'll cover that more in a Future Video"

@Rubrickety 2 жыл бұрын

I think you should redo the calculation, properly incorporating the correct circumference of the earth as determined by you and Hannah Fry a couple videos back.

@Adskdnweotland 2 жыл бұрын

Lol

@vigilantcosmicpenguin8721 2 жыл бұрын

It's the Parker circumference!

@ReedCBowman 2 жыл бұрын

Oh yeah. Matt! Have you seen the success of the yt channel trying to do everything needed to make a cell phone starting from scratch? You should totally derive all these measurements of the Earth and space and everything from your own actual measurements in random tall buildings on days with usual British visibility and so on, and homemade tools, and see how you do compared to Eratosthenes, 17th century geometers, and, you know, NASA.

@ReedCBowman 2 жыл бұрын

You can then publish the Parker Tables of universal constants.

@Hiltok 2 жыл бұрын

Can we be sure the pressure measuring device on the "Limiting Factor" is as precise as Matt's astrolabe/protractor thingy? Perhaps next time the "Limiting Factor" does a dive they can do their pressure measurements by the size of a balloon tied to the outside of the hull next to an externally mounted camera. Now the question is what fluid is best to fill the balloon?

@xbolt90 2 жыл бұрын

The 'how many atmospheres can the ship withstand?' line is one of my favorite jokes in Futurama.

@mercer5888 2 жыл бұрын

Well, it's a space ship; so I'd say anywhere between zero and one.

@frankharr9466 2 жыл бұрын

Um, dangerous. Exploritory. Romantic (but that's rather dangerous, but dangerous is reletively safe). Boring (when the ship isn't part of the plot). Exciting. Exciting only to the newbie. Annnnnd comedic. So, maybe five and a half?

@HagenvonEitzen 2 жыл бұрын

and I was thinking "cue Futurama quote" right before it actually came ...

@peterbudziszewski 2 жыл бұрын

@@frankharr9466 111111111111

@xyvazkrown8048 2 жыл бұрын

I was really hoping he was gonna say "Well, it's a spaceship; so I'd say anywhere between negative one and one."

@wolfbd5950 2 жыл бұрын

31:28 "a pound of plastic is 0.4536 grams." A bit of a Parker conversion there - he gave it a go, even if it didn't turn out quite right.

@designtechdk 2 жыл бұрын

Parker conversion, lol

@kiancuratolo903 2 жыл бұрын

Thats the parker square way

@michaelcartmell7428 2 жыл бұрын

British pound notes are now made of polymer (plastic) and they have a mass of the stated 0.45 ish grams. It was a lbs vs £ joke, but not very funny. Guess it was a Parker joke.

2 жыл бұрын

Michael Cartmell I thought it was funny :(

@chitlitlah 2 жыл бұрын

@@michaelcartmell7428 Really? A pound (weight) is somewhere in the neighborbood of 0.45 kg, so I figured that's what he meant. It seems his mistake was really saying a pound of plastic instead of a plastic pound.

@567secret 2 жыл бұрын

6:25 Interestingly, thought I'd look up how the league was defined originally, as it's not something I've understood before, and turns out it was first (roughly) defined as "the distance a person can walk in an hour", so saying you can walk 11km (1.96 leagues) in 2h, is surprisingly close to the original rough definition.

@metametodo 2 жыл бұрын

It just went full circle. Nice.

@ancientswordrage 2 жыл бұрын

I guess humans are quite consistent then ?

@kayvee256 2 жыл бұрын

On similar lines, I think an acre was originally defined as the amount of land that a single person could scythe in a day. So if you had five acres to scythe, you'd automatically know you'd need one person for five days, or five people for one day.

@wich1 2 жыл бұрын

@@kayvee256 or 2 and a half people for 2 days

@sebastianjost 2 жыл бұрын

Very interesting! While it is arbitrary, that is a surprisingly useful definition. In the Lord if the Rings book and/or some of the other books by Tolkien, he often describes distances using some nowadays rather obscure units of measurement. Among them were definitely leagues, chains, miles (still quite common) and I think I've also read furlongs and paces there.

@philipwilson46 2 жыл бұрын

Matt has reached a new depth. All these equations and not a pi in sight.

@Hiltok 2 жыл бұрын

g ≈ π² -ish

@bbgun061 2 жыл бұрын

The centrifugal force from the rotation of the Earth might have been factored into the value of g that he used, but pi was in there somewhere.

@xgozulx 2 жыл бұрын

@@Hiltok that is a ''parker pi square'' if I've ever seen one xD

@mcgrewgs 2 жыл бұрын

@@Hiltok I think you mean g≈(τ^2)/4

@ferociousfeind8538 Жыл бұрын

a depth of 3477 pi meters, in fact

@WilliamSikkema 2 жыл бұрын

You missed the 35 meters at the beginning that they descended before started taking measurements. That fixes your -35 meters final, and also gets you closer to the official number.

@__dane__ 11 ай бұрын

Getting this in my recommendations I assumed it was a recent video that just happened to be timely because of the Titan. Nope, it’s an older video

@richardhomburg1573 2 жыл бұрын

"Pressure pushing down on me Pressing down on you" - lol

@ShinyRayquazza 2 жыл бұрын

No man ask for

@ObjectsInMotion 2 жыл бұрын

Brings a building down...

@maribezhashvili7111 2 жыл бұрын

And the deadpan delivery!

@alden1132 2 жыл бұрын

*dun dun dun du du dun dun*

@NeonDripKitty 11 ай бұрын

i can think of a ceo that should have watched this video

@Blck0Knght 2 жыл бұрын

On the topic of mountains being "closer to space" around 29:00, I'm not sure the point Matt was making is correct. "Space" is most properly defined by being above the atmosphere (the various heights that get used are estimates of an average height). But the atmosphere is likely to be higher over the equator than over the poles, for exactly the same reason that the sea bulges around the equator. So a near-equatorial mountain may actually have *more* atmosphere over it than one that is closer to the poles. The more proper measurement for what Matt was describing is "furthest from the center of the earth".

@johncavanaugh3960 2 жыл бұрын

I believe you are correct.

@QuantumHistorian 2 жыл бұрын

I'd guess that the atmosphere is actually thicker (but slightly less dense) at the atmosphere due to the extra heat. Just a hunch though, thermo+fluid dynamics in a rotating reference frame is something I've very much avoided looking too much into.

@arcturuslight_ 2 жыл бұрын

I've seen people repeating that "interesting fact" about equatorial mountains, and at some point decided to see where it comes from. I believe it's from a misleading article, which doesn't have its terminology consistent even within itself. Actually reading about atmosphere thickness I was surprised to see that it is actually several times thicker above the equator than the poles, and that depends on temperature more than anything else. This thickness I believe is referring to how tall are the layers of the atmosphere, like the troposphere (mostly troposphere) and the others, roughy where one layer ends and another begins is determined by their properties and phenomena, that occur there, mostly... temperature? So that may explain why it depends on temperature. The thing is, especially higher up, there are no clearly defined borders, other than ones that are based on just height above sea level, not the atmosphere itself. Which brought me back to the first concern I had about that interesting fact, "isn't both the outer space and the mountains measured from sea level?". And they in fact are. Karman line (100 km) is the boundary between atmosphere and outer space. Just because there is so little atmosphere there, an arbitrary number was just picked. No matter the Earth bulging out on the equator, the defined space bulges with it, and the troposphere even more so.

@6alecapristrudel 2 жыл бұрын

Thanks for making me not have to write pretty much that exact comment

@mor4y 2 жыл бұрын

Dr John Bull (the murdered supergun/spacegun guy 😱 ) has done all the hard work for you, and a lot of his work has been published online 😉 tons of stuff about height above sea level for a gun style launch and for a rocket style, he was interested in both, and frankly as far as ballistics go he was a absolute genius 👀

@carboncuber3147 2 жыл бұрын

8:45 I love that Queen reference.

@Schattenhall 2 жыл бұрын

Fabulous! But don't forget David Bowie!

@wordsworthdirt 2 жыл бұрын

And a Specials reference at 7:51

@LegoNinjaRobot 2 жыл бұрын

"Over 49,000 stairs, the equivalent of a 15 storey building!" -The Tube, probably

@DeathFrankCore 2 жыл бұрын

Or 120.29 football fields (American football)

@actua99 2 жыл бұрын

Does that mean the underground has a station at the bottom of the Mariana trench? If so, which zone is it in? And, of course, do not forget to _Mind the Gap_ !

@samwoodcock5136 2 жыл бұрын

Surface gravity anomaly is a cool bit of geology, even if it doesn't matter too much to the depth calc - the geology under your feet isn't just one density, even in the mantle (oceanic crust has a pretty consistent density which goes up with age). The mantle's pretty mixed up in terms of rock type, chemistry, and temperature so density variations

@Ultraw 11 ай бұрын

How thoughtful of youtube to recommend this right after the Titanic submersible disaster...😭

@skilz8098 2 жыл бұрын

College Physics Professor: "Here's your final examine. Given p pressure, find the depth h within a body of water with density rho, salinity %o, and Temperature T. You will begin when they launch the submarine and you have until they reach the bottom of the sea bed." Parker: "No sweat, I'm good under pressure!"

@turpialito 2 жыл бұрын

I SEA what you did there!

@kathysennbirong6012 2 жыл бұрын

🤦‍♀️🤪🤣 Good ones!

@pmcgee003 2 жыл бұрын

"You may not use a spreadsheet." 😥

@chrisr7809 2 жыл бұрын

Carl Sagan and Neil DeGrasse Tyson gave us the "Spaceship of the Imagination". Matt Parker gives us the "DSV Unrealistic" What a wonderful world!

@dannymac6368 2 жыл бұрын

Realistically, that viewing window is no bigger than my *actual* thumb nail. No worries mate, you’ll be fine. 🧐

@rodriguez7282 2 жыл бұрын

You watching this on a flip phone or what

@theCidisIn 2 жыл бұрын

@@rodriguez7282 You just have small hands.

@justaman9564 2 жыл бұрын

More room for the maths, more gooder

@toolebukk 2 жыл бұрын

You watching this on a 3" screen?

@user-yw9mw9hv8o 2 жыл бұрын

at over 1000 atmospheres, what kind of construction does a viewing window need to be i wonder...

@YingwuUsagiri 2 жыл бұрын

If anything I love seeing how various channels are trying to shoehorn Team Seas into their normal content and it's amuzing and for a good cause.

@haxkztasy 2 жыл бұрын

8 million pieces of plastic pollution find their way into our ocean daily. - so... 30M Pounds isnt much really, thats like 3-4 days of pounds that get dumped into the ocean. its a nice thing to do, but will it do anything? i dont think so... which is sad tbf.

@jamesmnguyen 2 жыл бұрын

@@haxkztasy Mark Rober specified about half the money will go into reducing the source of pollution. Can't say exactly the plan is, but the initiative understands the problem.

@jamesmnguyen 2 жыл бұрын

@Kelvin Ok, and not doing this charity is somehow better?

@Tinil0 2 жыл бұрын

Honestly I take this just as much as I hated Team Trees. It reaks of ignorant people who WANT to do something good but don't actually understand how to do it, so it becomes a stupid fundraising gimmick for something that sounds wonderful but ultimately isn't a very efficient use of resources.

@vigilantcosmicpenguin8721 2 жыл бұрын

I remember being really entertained by the whole TeamTrees thing. It felt like such a big web of connections. I'm glad KZfaq is back for round 2.

@aperson1 2 жыл бұрын

Small correction - at 2:13, the Mariana Trench is slightly East of Guam/the mariana islands, not to the west. In fact, the Mariana islands and Guam are actually just seafloor that was pushed so high up by the pacific plate getting pushed down (how the Mariana Trench formed) that the bottom of the ocean became islands! Edit: It seems I was wrong about their origin, my bad. While the plate itself is sea floor, the islands are all volcanos that sprouted up from the fresh new magma created by the melting pacific plate.

@antontimeboy6094 2 жыл бұрын

Hm that sounds impressive, but then again, how else could islands be formed 🤔

@icedragon4008 2 жыл бұрын

mariana islands are not seafloor. They are part of an volcanic arc that developed when the pacific plate subducted. They weren't pushed up. The volcanoes grew from the seafloor. en.wikipedia.org/wiki/Izu%E2%80%93Bonin%E2%80%93Mariana_Arc

@aperson1 2 жыл бұрын

@@icedragon4008Ah my bad, you're right. I'd heard differently from it, but it seems I had heard wrong. Thanks for the correction to my correction!

@aperson1 2 жыл бұрын

@@antontimeboy6094 Well most islands are formed by volcanism of some sort. Even the ones you wouldn't think - most continents even - can be traced back to volcanism millions or even billions of years ago.

@MarkTillotson 2 жыл бұрын

Makes you want to name a sub "Duction"...

@variousthings6470 2 жыл бұрын

11:38 - Matt drawing his integral symbols bottom-to-top makes me very anxious.

@alira7296 2 жыл бұрын

Bottom to top is the only way. Otherwise, you have to write right-to-left.

@comma_thingy 2 жыл бұрын

you don't?? I agree they are far to tilted, but bottom to top is the only way to draw them, otherwise you end up moving back along the page to draw the curly bits.

@ObjectsInMotion 2 жыл бұрын

Bottom-to-top is the only way I've ever seen it done in all my physics classes.

@dk39ab 2 жыл бұрын

Gravity actually increases as you go down. For a perfectly homogenous object, yes, the gravity would go down linearly as you descend into it, but in the case of the Earth, the core is quite a lot denser than the mantle and crust, so getting closer to the core more than makes up for being under part of the mantle and crust. Highest gravity is at the core-mantle boundary then it goes down.

@volbla 2 жыл бұрын

Nice.

@adizmal 2 жыл бұрын

Richard Garriott, no way! Lord British, the legend himself, my game design hero. Crazy crossover for you Matt, I'm stunned.

@Yora21 2 жыл бұрын

I was thinking "Hey, another guy with that name". But seeing him again at the end and judging his age, it really seems to be him.

@grkvlt 2 жыл бұрын

Well, it's not like there's a bunch of other Richard Garriotts that have been to space, though, are there?

@SandCastor 2 жыл бұрын

An absolute shame that the dive unit is not called "The Shamino"

@groundcontrolto 2 жыл бұрын

The "DSV Limiting Factor", love the Culture reference.

@mattsadventureswithart5764 2 жыл бұрын

I wonder how many folks will get it? I hope the answer is "loads"

@petertomaszewski1788 2 жыл бұрын

Matt, you could have named you submersible "Integrating Factor"

@qzbnyv 2 жыл бұрын

Given the genesis of the ‘Limiting Factor’ name, I’d be more partial to Matt choosing the name ‘Mistake not..’

@JoQeZzZ 2 жыл бұрын

Yeah I was soo expecting this joke at 8:35

@NahorCA 2 жыл бұрын

After going as much as he could high and low, north and south, Garriott should go as far as possible east and west.

@ipadista 2 жыл бұрын

Or see it as a wormhole problem, taking a step to the east and now having completed the west bound trip, taking one step to the west, having completed the eastern journey. Having folded the starting and ending points over each other!

@ryandean3162 2 жыл бұрын

Have to say, wasn't expecting to see Lord British when I clicked the video. I met him before, in sort of an embarrassing way, at the W Hotel in San Francisco, when I mistook him for someone else who I had been talking to before I went to the bathroom. In my defense, it was sort of dark and the other guy had a similar hair color and style and goatee.

@Zuraneve 2 жыл бұрын

I had to check real quick to make sure I hadn't accidentally clicked on some other random video by accident. I was not expecting to see Lord British either.

@Vasharan 2 жыл бұрын

Turns out the guy before the bathroom was Blackthorn.

@ryandean3162 2 жыл бұрын

@@Vasharan Nah, looks quite a bit different. No hair for one. Though he was there, maybe, I think. Not sure. It was for the Ultima X: Odyssey unveiling, which was after they both left Origin. The guy I was talking to was some producer or another or something like that. I forget. Nearly 20 years ago. Also there was an open bar on EA's dime. Contributing factor. Shame they cancelled it, was a lot like WoW and slated to come out around the same time.

@JohnnyWednesday 2 жыл бұрын

Fun fact! to 'To fathom something' comes from 'to fathom the deep' - the act of lowering a weight on a rope to see how deep the ocean at a given point is (1 fathom = 6 feet). So when you 'can't fathom something'? this is where it comes from - you are unable to reach the deepest knowledge - to understand a thing.

@Kranzio- 2 жыл бұрын

I never could have imagined seeing Lord British on a Stand Up Maths video. I love you, Matt. You absolute lad, you.

@QuantumHistorian 2 жыл бұрын

Slight mistake in the original integration. By ignoring the constant of integration, you're effectively saying that P=0 at h=0. But that's not true, you have 1 bar of atmospheric pressure, or about 101 000 Pa. Indeed, without mentioning this, confounding factor 7 (local changes in atmospheric pressure from stuff like weather) doesn't make sense.

@MarkTillotson 2 жыл бұрын

It depends if the pressure sensor was absolute and relative, and what its tare point is. It makes sense to tare it at 1atm absolute.

@nightthought2497 2 жыл бұрын

The analytical processes available to a group of research scientists providing an additional half a percent accuracy, and that that half a percent is deeply important to earth sciences. The fact that level of accuracy is worth pouring millions of dollars into. We live in a truly magical time.

@ludicrousslim 2 жыл бұрын

For the first seven minutes I was thinking of my absolute favorite line from Futurama, and how I was going to find that clip after your video, and then there it was.

@FryGuy1013 2 жыл бұрын

I'm a software engineer that works on deep sea robots, so this video is near and dear to my heart. I also have a styrofoam cup that I've drawn on it so that part was great :)

@rustymustard7798 2 жыл бұрын

5:00 Yeah but how deep is that in smoots? I don't understand all these other nonsense measurements, what the heck is a 'meter'? Sounds sus.

@Zuraneve 2 жыл бұрын

One smoot is 1.7018 meters. So that's a smidge over 6,400 smoots deep.

@MarkTillotson 2 жыл бұрын

@@Zuraneve Is that an avoirdupois smidge or a troy smidge though?

@Zuraneve 2 жыл бұрын

@@MarkTillotson Neither! It's a metric smidge, of course. Ten smidges make a smidgeroo, after all.

@CODENAMEDERPY 2 жыл бұрын

@@Zuraneve How does a smidgen translate to a smidge again? I forgot.

@Zuraneve 2 жыл бұрын

@@CODENAMEDERPY 10 smidgens equal a smidge. 10 smidges equal a smidgeroo.

@danceswithdirt7197 2 жыл бұрын

1:13 - dude, that artist is amazing. Do they accept commissions?

@HopperNation 2 жыл бұрын

😂

@eduardozanin8520 2 жыл бұрын

That Queen reference at 8:43 was awesome lmao

@incription 2 жыл бұрын

The fact that the density of water at challenger deep is only 5% greater than at the surface is a true testament to the incompressibility of water!

@MarkTillotson 2 жыл бұрын

Its not very different from most liquids, glycerine is less compressible, petrol is more compressible, but not by large factors. It is much more compressible than mercury though...

@Eagris 2 жыл бұрын

I don’t think that part about Everest not being the closest point to space is right. Isn’t the limit of space defined by an altitude above sea level? So, the lower edge of space would also be an oblate spheroid, not a sphere that’s closer to the Earth at the equator and farther away at the poles. That peak in Ecuador may be the highest point as measured from the Earth’s center, but it’s not closer to space than Everest.

@YourMJK 2 жыл бұрын

But that (arbitrary) altitude that defines the edge of space is/was chosen because of the density of the air. And the air density doesn't care that much about the oblateness of the earth, it's just a function of the distance from earth's center, right? So the "edge" of space should be a spherical shell around an oblate earth, which does give an advantage to mountains on the equator in terms of reaching into space.

@HermanVonPetri 2 жыл бұрын

@@YourMJK It's complicated by the density of the air in cooler regions versus warmer regions. The increased solar radiance at the equator puffs up the atmosphere due to thermal expansion, and the cold temperatures near the poles causes the atmosphere to contract. This causes the height above sea level for the atmosphere at the equator to be several kilometers higher than the atmosphere at the poles. There is also more rotational velocity imparted to the air interacting with landmasses at the equator than at the poles. This causes air molecules to be accelerated into a higher (wider) track around the earth's equator.

@wobblysauce 2 жыл бұрын

Either way... sounds like a great video.

@zuthalsoraniz6764 2 жыл бұрын

@@YourMJK Absent any temperature differences and weather-induced pressure fluctuations, the isobar planes of the atmosphere should follow the shape of the geoid, since the atmosphere is, if averaged over sufficiently long timescales, pretty much in hydrostatic equilibrium. But yes, the pressure altitude of mountain peaks (or any other point on Earth) does vary with the seasons - but Everest is, from what I can tell, always the mountain with the highest pressure altitude.

@_purble 2 жыл бұрын

@@YourMJK The air density will follow local gravity, and that certainly is affected by the oblateness of the earth. I *think* it all falls out so that to a first approximation space is a constant distance above sea level.

@JustinDeFouw 2 жыл бұрын

Wasn't a human that made it first? GG Plastic.

@TheTonyMcD 2 жыл бұрын

He's got the sopp award, space, ocean, and pole to pole

@variousthings6470 2 жыл бұрын

But who will be the first person to achieve the coveted SOPP-EGOT?

@raptor4916 2 жыл бұрын

@16:10 you said gravity gets less as you get deeper well due to Gauss's law the mass of the stuff above you doesnt matter and because earth gets a lot denser as you go deeper the gravity gets stronger up to the transition of the outer core where its 10.7 m/s check out the PERM model for more details

@eccentricity23 2 жыл бұрын

Yes, I was thinking this as well. Thank you for writing my comment for me.

@dsdsspp7130 2 жыл бұрын

what does Gauss's law has to do with gravity? isn't gauss's law about electric flux?

@dsdsspp7130 2 жыл бұрын

also it does matter. stuff gets denser when you go down, but the amount of mass below you decreases as you go down.

@raptor4916 2 жыл бұрын

@@dsdsspp7130 Gauss's law of Gravitation states that when youre inside a shell of matter the gravity pulls equally on you from all directions thus canceling out thus you dont feel any gravity

@eccentricity23 2 жыл бұрын

@@dsdsspp7130 Essentially, two factors are at play here. As you get closer to a massive object, the force of gravity increases since it is an inverse square law. If all of the mass of Earth was concentrated into one point, as can be safely approximated from any perspective outside the Earth, gravitational acceleration would grow noticeably as you descended through the ocean. However, as you descend through the ocean, there is also a growing amount of mass above you. You might expect this to pull "upwards" on you, but in actuality something a bit strange happens. I believe Newton first figured out that at any point inside a hollow sphere of even density, the gravitational pull of all the mass in the shell cancels out. This is the "Gauss's Law" that raptor4916 is referring to. That means that the ocean above you - along with all of the mass in that "shell" around the planet - no longer has a net gravitational pull on you. As a result, the amount of Earth that is pulling you downward is somewhat reduced. It turns out that due to the density of Earth, gravitational acceleration would be pretty uniform for the majority of a tunnel all the way through the planet - you get closer to the center of mass, but the amount of mass it represents decreases.

@ZaximusRex 2 жыл бұрын

I'm a simple man. I see Lord British, I thumbs up.

@Alluvian567 2 жыл бұрын

So neat to see this! I have so many fond memories of the Ultima games, so great to see Mr. Garriott doing well. Also very happy to see you are a part of teamseas, a great cause!

@The_Omegaman 2 жыл бұрын

That styrofoam cup has been on more adventure than me.

@shinsooxx 11 ай бұрын

Anyone else recommended this video after the Titan implosion?

@antiantiderivative 11 ай бұрын

@shinsooxx 11 ай бұрын

@@antiantiderivative the fact that you replied would imply “yes” :)

@antiantiderivative 11 ай бұрын

@@shinsooxx No

@shinsooxx 11 ай бұрын

@@antiantiderivative I’ll take that as a “yes”! :)

@antiantiderivative 11 ай бұрын

@@shinsooxx No

@joshuap7406 2 жыл бұрын

You forgot the constant of integration at 12:03. My lecturers would be furious.

@ItsTheIdiotAgain 2 жыл бұрын

It's a definite integral from 0 to D over h, so no constants I'm afraid.

@murraynatkie7490 2 жыл бұрын

"Just over 19,998 leagues left to go!" has a nice ring to it.

@cece_marie 2 жыл бұрын

Oh my goodness, that is quite a souvenir!! Good job, little Parker Square! Donated earlier on Mark Rober's video but had to also donate on yours. Nice work, as always. 🎉

@amplitudemc 2 жыл бұрын

“use maths to prove that this is the deepest math video ever” Sun Tzu - the Art of Math

@bsharpmajorscale 2 жыл бұрын

He used the maths to prove the maths.

@mediumjohnsilver 2 жыл бұрын

Thank you, Matt, for that in-depth report.

@perttiorn8029 Жыл бұрын

I wonder if don Walsh said to Jacques Piccard: "Let's boldly go where no man has gone before" Onto which Piccard answered: "Make it so."

@RithSV 2 жыл бұрын

Love the Futurama insert. Such a great show.

@bandana_girl6507 10 ай бұрын

Watching this after the Titan implosion makes certain bits so much more hilarious

@bilboswaggings 2 жыл бұрын

what an amazing achievement: Matt Parker: the first person to collaborate with someone who has been to space, both poles and the Mariana trench

@incription 2 жыл бұрын

Soulja boy did it first

@dielaughing73 2 жыл бұрын

And if that's not worth a million subscribers, I don't know what is

@KrBme78 2 жыл бұрын

A true Parker collaboration!

@iizvullok 2 жыл бұрын

15:59 sure about that? That assumes that the earth is a sphere with uniform density. But since the water is still less dense than the rocks below it and much less dense than the earths core, the gravity should (to some certain point) increase before it decreases again. So g is not a linear function.

@AaronJarecki 2 жыл бұрын

This was a cornucopia of interesting math and compelling facts of nature. Thank you so much for pulling this all together.

@silvercomic 2 жыл бұрын

The Limiting Factor and Pressure Drop ships. Matt should have named his ship The Algebraist.

@variousthings6470 2 жыл бұрын

The MIS* Experiencing A Change In Gravitas (Well, Gravity) As We Get Deeper * Matt's Imaginary Submersible (eccentric)

@bowieinc 2 жыл бұрын

I’d say there have been many more than 17 people go down to the bottom, however Richard is most likely the 17th person to go down, and then come back up :)

@silverXnoise 2 жыл бұрын

Congrats on 1M subs! I first subscribed to your channel before you started posting regularly as Standup Maths, and there is NO ONE more deserving named Steve Mould or otherwise. Well done mate!

@2DragonFreak 2 жыл бұрын

Love how you captured yourself writing the formulas!!!

@ZeroOskul 2 жыл бұрын

Matt! How did you mash so much Rock 'n' Roll into this thing???

@AndrewFRC135 2 жыл бұрын

The Parker square, going further than any maths has ever gone before!

@vigilantcosmicpenguin8721 2 жыл бұрын

We will go to the moon, not because it is easy, but so that we can put a Parker square on there! Like, right next to the American flag!

@1987slither 2 жыл бұрын

That Queen reference at 8:44 is golden :)

@johnnypopstar 2 жыл бұрын

> Limiting Factor I love when smart science people are Iain M. Banks fans and name things after his ships. Except for *that one* , obviously; only actually smart people count.

@pluto8404 2 жыл бұрын

If the Earth was round the ocean would fall out the bottom. Thus proof it is a bowl.

@josiahgilmour 2 жыл бұрын

Just because you were demoted to a dwarf planet doesn't mean you can spout lies about our glorious planet Earth!

@dogwalker666 2 жыл бұрын

Get back to the kuiper belt where you belong!

@ItsAlleged 2 жыл бұрын

Hey Matt... the t0 has a pressure of 3.58 bar..suggesting they may have started measurements at maybe 30 meters under the water..roughly equivalent to how far "off" your calculation was. not sure if this was taken into account but looking at the spreadsheet it does not appear that it was.

@SkynetDrone12 2 жыл бұрын

Really enjoy this video thanks!

@thekinglydragon 2 жыл бұрын

That Parker Square cup is the coolest object in the universe

@Archer690Channel 2 жыл бұрын

evolution is an amazing feat, humans needed a lot of technology to reach this depth and there were some crabs minding their own business as if nothing happened, too bad even that place is being ruined by plastic

@TheMalT75 2 жыл бұрын

Agree, but watch what happens when that crab ascends and how many generations it took to reach that depth…

@tobylegion6913 11 ай бұрын

KZfaq does it's algorithm magic again. Well, at least it is one of my favourite Matts, and not some sigma-grindset bs.

@thesoupin8or673 2 жыл бұрын

As other fans of Um, Actually will already know, the title 20,000 Leagues Under the Sea refers to the horizontal distance they traveled, not the depth. If it referred to depth, that would measure through the earth and way out the opposite side, so the number would be too big to be used in that context. Perfectly fine usage of it here though, so well done

@CharlesPanigeo 2 жыл бұрын

I didn't even notice that this was related to the Team Seas project until you brought it up at the end! I donated earlier today :)

@gamemeister27 2 жыл бұрын

James Cameron is, in general, obsessed with ocean exploration. Rich people can make pretty significant discoveries in the deep ocean. Paul Allen, before his untimely death, found the USS Indianapolis.

@vigilantcosmicpenguin8721 2 жыл бұрын

He's actually gathering new material for Avatar 2. Instead of going up into space, they'll be going down this time.

@MarkCliffeIsGay 2 жыл бұрын

Carl Sagan had his ship of the imagination. Matt has his little yellow submarine. Parker ship confirmed. (I'm really sorry this keeps happening to you)

@MuantanamoMobile 2 жыл бұрын

Amazing as always. 😀

@vit78ify 2 жыл бұрын

I'm sure someone has pointed this out already, but looking at the top comments I didn't catch it so I'm going to point it out (again). "closest to space" is a different definition from "furthest away from the center of the Earth", so while the mountain in Ecuador is the furthest point from the center of the Earth, the Everest is still closest to space because the most common definition of space (the Karman Line) is defined in terms of sea level, and that is because it is an approximation of where the atmosphere ends and the atmosphere, much like the sea, "bulges out" along with everything else.

@RFC-3514 2 жыл бұрын

19:35 - No, if you want to get pedantic, check the atmospheric pressure _every time_ you calculate your current depth.

@cleteblackwell1706 Жыл бұрын

Lol nice username

@flan1591 2 жыл бұрын

Hearing "maths" in an American accent might be the scariest thing I've witnessed this month

@Banzybanz 2 жыл бұрын

Timestamp?

@egohicsum Жыл бұрын

awesome video i find those trenches extraordinarily fascinating and combining them with maths is just an amazing idea thank you

@alexlandherr 2 жыл бұрын

Nice uniform methods of estimating your geographic position are always satisfying.

@DonReba 2 жыл бұрын

How much LSD would one need to make the highest math video ever? I imagine that bar is already hard to take.

@big_badaboom 2 жыл бұрын

Thanks Matt. But how did they measure their official depth?

@tonfleuren3536 2 жыл бұрын

Exactly my question! You just blindly assume the official depth measurement is the absolute truth, without questioning how it was determined!

@droppedpasta 2 жыл бұрын

That’s my all-time favorite Futurama gag

@Lionbug 2 жыл бұрын

That top 10 list bit was great :D

@piers42 2 жыл бұрын

As an oceanographer, this is a fun video regardless 😁 The amount of plastic they'll be removing though is a drop in the ocean, about a tenth of a percent of what enters yearly. Therefore as well as donating, it would be helpful if people also pushed for legislative action too.

@ALovelyBunchOfDragonballz 2 жыл бұрын

Yes, because if theres one thing that always helps its more govt action. No one ever resents that, or finds every possible loophole around that laws.

@peterkelley6344 2 жыл бұрын

The real challenge is here is actually two fold. 1) Get humanity to stop producing these compounds, and 2) determie how to demolecturize these compounds to get them into a state that they can be truly recycled safely.

@xgozulx 2 жыл бұрын

@@peterkelley6344 as i always say, just throw it a the sun (escape velocity is fine too, or any other point is space, but the sun is more fun)

@PiR2InTheUSA 2 жыл бұрын

So, how was the depth of the vessel officially calculated/measured/determined?

@dogwalker666 2 жыл бұрын

Probably with a pressure transducer.

@patricktho6546 2 жыл бұрын

5:05 nice reference to the totally brilliant video about the genious of the imperial measurements (only length) video you did^^

@CATLOAFMAN 2 жыл бұрын

Hes been to both poles space and the bottom of the ocean Challenge complete how did we get here!

@pendragon7600 2 жыл бұрын

idc im watching the whole thing in 360p

@fahrenheit2101 2 жыл бұрын

Lol I didn't even notice, I never turn up the quality on videos and they always default to 480p for me. This was only slightly worse, and I clearly couldn't tell.

@variousthings6470 2 жыл бұрын

Living dangerously!

@pendragon7600 2 жыл бұрын

@@fahrenheit2101 I deliberately turn down the quality so i can enjoy the pixelation and compression artifacts

@MrAmalasan 2 жыл бұрын

Geophysicist here; factor which was not included is thermal dependence of water density. Temperature drops off to its minimum of 2C at approx 1km, with an increase in density.

@neiljf1089 2 жыл бұрын

It is included, 15:17

@juandiaz3651 2 жыл бұрын

I loved that Futurama gag, nice video. For a ballpark figure in fluid mechanics we usually estimate 1 atm per 10 meters of water (engineering 101: g=10 and rho=1000)

@HagenvonEitzen 2 жыл бұрын

That's certainly close enough, given that the speed of light is 1 :)

@markhelmick8084 2 жыл бұрын

If you released an air bubble at that depth, would it rise or sink?

@Wolfhound_81 2 жыл бұрын

That Queen quote was awesome, thx for the earworm! :D

@AzureLazuline 2 жыл бұрын

Thanks for the interesting video, and for helping clean the oceans, and for using "they" singular! You're seriously one of the coolest content creators I've ever seen, so keep it up!

@bsharpmajorscale 2 жыл бұрын

I'm not a metric person by trade, but I have played a bit of Minecraft, so I can appreciate the distance a bit.

@trouty7947 2 жыл бұрын

This is the only channel/personality that makes me WANT to go and make graphs and spreadsheets of publicly available data, or even ask paper authors for their data for fun!

@MegaMisch 2 жыл бұрын

Yay! New vid. Thanks Matt. :3

@andrewwalker6204 2 жыл бұрын

Can I just say how much I, as a They/Them user myself, absolutely adore the fact that Matt uses the singular they when referring to people? It really just warms my heart.

@secularmonk5176 2 жыл бұрын

So here's something to consider: would Matt use "they" for a person who has explicitly listed their pronouns as gendered?

@sanderbogaert5365 2 жыл бұрын

But how do they know it's the deepest? Did they scan the whole of the oceanic floor (yet)?

@hebl47 2 жыл бұрын

Good question. Probably some fancy satellite measurements or maybe just sonar scanning. What I'm even more interested in is how did the Royal Navy know this was the deepest point back in the late 19th century??

@blakecarlson1057 2 жыл бұрын

Definitely deserves a thumbs up for the Queen/David Bowie reference. Well played

@mus3equal 6 күн бұрын

Thanks Matt! Just found the video, looking forward to testing some of the number sets. I found an interesting correlation with your depth deviation at roughly -35 as a mass density differential with salinity of 35 grams per kilogram per mass percent, was researching something different relative to mass density and realized there is a correlation.