I'm so sorry to everyone doing the calculations, but there is a period where the video is looping, to extend the fall time. Listen to the background "silence" which has at least one notable repeating sound. Sorry :(
I listened real close, like right up to the ear, and the running water made the exact same noise over and over so I think this has been edited to reflect a longer drop time.
based on what ChatGTP tells me (cuz I am to lazy to do it myself) if an object fell for 10 sec it will have traveled 490m (1607 feet) which is as tall as a ~100 story building the Shanghai World Financial Center is 1614 ft if you wanna see for scale. Highly doubt it goes straight down for that long.
That would be the upper limit assuming the time hasn't been extended by video editing. Even so, with a fall this long, air drag starts to become important - as the rock's velocity increases, drag starts to counteract acceleration due to gravity. Which means the fall duration is longer than a free fall would be.
Your terminal velocity is off. That's like a human sky diver in belly down position (about 55m/s). Slow as fuck compared to a lump of rock that's going to basically ignore air resistance.
Hahaha, after I watched i took the time (15-16seconds, round down for speed of sound fudge) and did d=.5*9.8*(15^2) and got about 1100 meters or around 3600 ft...7/10ths of a mile ish. 68% of a mile.
It would take ~5.5s to reach a terminal velocity of 53m/s, during which time it would fall about 145m. Then in the remaining 9.5s it would fall about 503m, so approximately 651.6m total, or 2138ft, or about 0.4mi
I suspect that the majority of that force went into the lateral momentum which I think would have minimal impact on the downward velocity, i.e. he done threw it straight ahead, not downwards.
He threw it horrizontilly, though, so need to account for trajectory and rough estimate of force used. I would guess it's closer to 700metres . D=0.5*GT square
By my calculations based on the correct motion equation:
Distance = [1/2 acceleration * time^2]
Assuming the estimate of 15 seconds is correct, taking into account that it took 3.28 sec for the sound to travel back, assuming cavern air is 15 C, it fell for 11.72 seconds.
That is 678.5 meters or 2226 feet. That's 0.42 miles. Might be a little further if than that if as he pushed it, he accelerated it downwards slightly.
It's possible the video speed timestamps are incorrect also. :)
Yup, same answer. Sound travels around a mile/sec, and with the first approximation of under 1/2 mile, the sound buffer has less than a second to return. So we're dealing with fractions by then.
Maybe they're looking for an exact number, in which case I'm so WRONG.
You obviously haven't taken into consideration other factors, like a rocky cave system and sound traveling upwards against gravity. So even if this speed of sound theory you're trying to spread here to my fellow imgurians is correct, then plugging your number in my previous calculations and we still get the same answer of that drop = a little under a mile.
Embrace false facts. It's more fun than the real world right now.
negoshi8
How come there was no echo from his scream?
Metallica93
Absolutely the fuck not. No, thank you. Do not pass Go. Do not collect $200. Not happening.
SigynRose
Fly you fools
Bex316
https://youtu.be/vLt5ei598CY
robingal1
Some bat: da fuq?
Skuggen
Fool of a Took!
Crispy4Skin
Tool of a fook
magus200342
Someone with good editing skills should totally have a Balrog whip come up and snag the cameraman then end the video as a jump scare.
TheHumanSeason
AmericanDreamIsDead
Just long enough to get over the shock of falling and fully realize you’re gonna feel it.
Dissipo
Everything reminds me of her...
mrsdowneyjr
The earth is big
moosemaimer
CyberWizard252
Isn't that kinda how "Reign of Fire" started?
SilverFish0
This kills the rock
myfirstandlastpostever
I scrolled nearly as far as the rock fell to find this comment.l
HighestHopes
9.8 M per second squared at approx 17 seconds =
Dobster
I'm so sorry to everyone doing the calculations, but there is a period where the video is looping, to extend the fall time. Listen to the background "silence" which has at least one notable repeating sound. Sorry :(
Lantyco
what is he saying?
flacoloco
THIS....IS.......BEIJING!!!!
SilverHornet
WE'VE BEEN TRYING TO REACH YOU ABOUT YOUR BALROG'S EXTENDED WARRANTY
Theslipofashipcansinkalip
Your mother wears army boots.
WhackChat
Fool of a took!
beaverwagon
I would take a few steps back away from the edge
duktayp
PIPPIN YOU FOOL
WoopDeFrickenDoo
Throw yourself in next time, and rid us of your stupidity!
animatronicChristmasChickens
YOU FOOL OF A TOOK!
Grizabellakat007
Throw yourself in next time and rid us of your stupidity!
NZCO
I listened real close, like right up to the ear, and the running water made the exact same noise over and over so I think this has been edited to reflect a longer drop time.
kaarbaakimgr
Zeriador
I hear it too.
ScrapCode
based on what ChatGTP tells me (cuz I am to lazy to do it myself) if an object fell for 10 sec it will have traveled 490m (1607 feet) which is as tall as a ~100 story building the Shanghai World Financial Center is 1614 ft if you wanna see for scale. Highly doubt it goes straight down for that long.
DildorTheMighty
The water dripping sound is looped.
graehall
Yep, it's incredibly obvious too. Literally just listen and you hear a constantly repeating pattern over and over. It's fake
Frogblender
Everyone else doing calculations but ignoring this part...
captainfakeypants
Yeah, pretty sure I heard a repeating pattern of plips and trickle, which was so unnatural my brain instantly questioned if it was looped.
lamepickle
I'd estimate that's about 1000 meters deep, converted to American that's around 10 football fields.
DinosaursCameFromSpace
“10”? That number sounds a bit metric to me
yourbassist
How long is that?
Stonemarter
Calculator gave 490 meters, minus the time needed for the sound to come back.
lamepickle
Good call. I didn't consider bounce back, terminal velocity and potentially slower terminal speed in that kind of space.
UncleRat
How many bananas? I'm a banana sort of American.
DrDadJokes
all of it
CatsAndWineAreAlwaysFine
I like bananas, but I’ve become a washing machine American… it’s roughly 1,009 washing machines deep, btw.
lamepickle
At Least 7. And maybe about 5,000 more.
Tiammut
Is the rock okay?
kahooki
He's a little bit down.
CaptainThePirate
If height = h, and g = acceleration, and t = time in seconds, then:
H = 1/2 * G * Tsquared.
We know from other science that G is 9.81 meters a second.
This drop lasts about 15 seconds, so Tsquared would be 225.
So half of 9.81 being 4.905, and 15*15 being 225, we now have:
Height = 1/2 * 9.81 * 225.
We didn’t hear any other collision, so we know it didn’t hit a wall, meaning we can trust the fall was straight down.
According to math, if this is legit, that’s a 1,103.13 meter drop.
timmargh
*trips and drops car keys*
herratohtori
That would be the upper limit assuming the time hasn't been extended by video editing. Even so, with a fall this long, air drag starts to become important - as the rock's velocity increases, drag starts to counteract acceleration due to gravity. Which means the fall duration is longer than a free fall would be.
petpet3d
It doesn't keep accelerating, there will be some air resistance and terminal velocity
TheRicM
Quick maffs
RadiDaddy
I’m no mathologist, but does this take into account the delay between the impact and the time it would take for us to hear the impact?
CaptainThePirate
Gdi now I have to go do more math.
RadiDaddy
Sorry, eh.
MarcUK
Take into account the length of time for the sound (343m/s) to travel upwards. :)
MarcUK
Huh, google say 1102.5 meters deep taking into account for the speed of sound. You were 830mm off, but I'll still give you an A. :D
PrincessNausicaa
There's definitely a Balrog down there.
Starbolt81
And hes pissed now because he just got beaned by a bloody huge rock
DrSharkbite
deetatron
xj4low
The sound of drums in the deep start sounding.
IceWeaselX
I want an edit of this with an angry roar and some dim, distant light flicking after the boom.
DALLASLAVOWNER
with a voice over saying "STOP THROWING ROCKS WITH NOTES ABOUT MY CAR WARRENTY! I'M A BALROG! I TAKE THE SUBWAY!!!"
pupquine
RElGNMAN
Liam11too
Fool of a Took!
johnson442
My first thought!
CouldntCakeLess
mineoc
brownribbon
Not after taking a rock to the dome.
pixelsnader
Well it's still there. Just less of a threat. Or more, if it's just angrier now. Can go.any which way, really.
SomewhatSarcastic
Let's go with an approximate terminal velocity of 53 m/s, with a 15 second drop = 795 meters or 2385 feet or a little under 1/2 mile.
graehall
Listen to the audio of the water during the fall, you can hear it loop. I am fairly certain this is edited
Wonderkin
Thank you for giving us a close approximation for the depth that rock fell. Impressive!!
OookOookOookMotherFudger
Your terminal velocity is off. That's like a human sky diver in belly down position (about 55m/s). Slow as fuck compared to a lump of rock that's going to basically ignore air resistance.
DocNoggin
Thank you for saving me the time
DavidNightingale
Subtract the 300 m/s for the sound to get back.
Hotjoe1991
He also gave it a bit of a downward boost
Zanthius2
Except for that little bit where they lengthened it by looping the audio
xaxen
Damn! That hole is more than 50ft deep!
KiwiStag
So more than 23 Giraffes or 109 dishwashers? I'm not sure on Ferrets per square inch though.
MushinMan
Big drop. Roughly 7% of the deepest point in the ocean. Nature is wild
MissivesFromTheTower
Should we account for the speed of sound? That is to say - we hear the pop / thud at the 15th second, but it has to travel back up, right?
MisspentYouth333
Or 0.795 Km
Rockafella83
electronicbovine
Hahaha, after I watched i took the time (15-16seconds, round down for speed of sound fudge) and did d=.5*9.8*(15^2) and got about 1100 meters or around 3600 ft...7/10ths of a mile ish. 68% of a mile.
Thissideupusenohooks
Thank you. This was the mathematics I came here looking for. We're talking just shy of the Burj Khalifa https://en.wikipedia.org/wiki/Burj_Khalifa
veteranpenguin
Jesus, that put it into perspective...
BladeTurMoiL
Which answer is right? Lots of comments saying ~1000 meters
TheFunGuyinOz
The answer above yours is most definitely NOT WRONG which possibly makes it the most rightist answer... the bestest!
SomewhatSarcastic
Around here, we go by upvotes. So according to comments, the correct answer = BALROG.
animatronicChristmasChickens
It would take ~5.5s to reach a terminal velocity of 53m/s, during which time it would fall about 145m. Then in the remaining 9.5s it would fall about 503m, so approximately 651.6m total, or 2138ft, or about 0.4mi
the1truemorty
SilverFish0
No he threw it down, it is not just free falling
animatronicChristmasChickens
*Tom Petty has entered the chat*
Zootsoot
Yes- but is it an African or European rock?
bloodtaker3
Rocks migrate?
MyOtherPetIsACat
It depends on where he grips it!
JayEnfield
Minus two seconds for speed of sound return, so knock another ~100m off. 500 to 550m, still a fuckin deep hole.
DidItForScience
But he also threw it down so it had some acceleration and wasn't simply a fall.
bhraal
I suspect that the majority of that force went into the lateral momentum which I think would have minimal impact on the downward velocity, i.e. he done threw it straight ahead, not downwards.
noneedtodoxme
And that stone bonked some innocent, sleepy balrog in that cave and no one is talking about that.
JohnSmithterms
He threw it horrizontilly, though, so need to account for trajectory and rough estimate of force used. I would guess it's closer to 700metres . D=0.5*GT square
yeahhedugit
Does the horizontal velocity matter at all?
MaelstromSama
Nope.
bingotown
I wouldn’t think so. It’s like that old brain teaser question about a falling bullet shot horizontally.
Woogyface
that's wrong as you need to calculate the sound traveling back up. it's not much but it should make a difference
Zamm005
His rough calculation assumes the stone starts at terminal velocity... It's rough dude! More than close enough!
SomeKindOfEye
well if were gonna get real specific, the rock has to first accelerate to terminal velocity. this probably involves some kind of math stuff.
Omicron416
And don't forget that he did an overhead throw so the rock starts with a downward speed and not from zero like it would if he simply dropped it.
haggerton
thisiswhyicanthaveanythingnice
Came here to say that.
barnwolf
The error margin on the terminal velocity is probably bigger than the impact from leaving out the speed of sound.
cellfreeDNA
My nerd. You’re on my team.
mineoc
That would reduce the distance by about 38 m or 123 ft
wabitgirl
At least finish the equation at that point! 2262 ft, or 758 meters, appx
AtomicChipmunk
So, a little under a half a mile
DaveSamsonite
By my calculations based on the correct motion equation:
Distance = [1/2 acceleration * time^2]
Assuming the estimate of 15 seconds is correct, taking into account that it took 3.28 sec for the sound to travel back, assuming cavern air is 15 C, it fell for 11.72 seconds.
That is 678.5 meters or 2226 feet. That's 0.42 miles. Might be a little further if than that if as he pushed it, he accelerated it downwards slightly.
It's possible the video speed timestamps are incorrect also. :)
DaveSamsonite
0.42 miles
SomewhatSarcastic
Yup, same answer. Sound travels around a mile/sec, and with the first approximation of under 1/2 mile, the sound buffer has less than a second to return. So we're dealing with fractions by then.
Maybe they're looking for an exact number, in which case I'm so WRONG.
BurningVeryImportantThings
you son of a bitch how dare you!
noneedtodoxme
Sound travels a third of a km a second. Not a mile a second. Wtf
SomewhatSarcastic
You obviously haven't taken into consideration other factors, like a rocky cave system and sound traveling upwards against gravity. So even if this speed of sound theory you're trying to spread here to my fellow imgurians is correct, then plugging your number in my previous calculations and we still get the same answer of that drop = a little under a mile.
Embrace false facts. It's more fun than the real world right now.
Throwaway1575
Lol the one time Metric fails to be convenient