How long will it take for the last gear to spin?
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- čas přidán 27. 08. 2021
- What is the gear ratio of this gearbox? How long will it take for the last gear to spin?
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Episode 6 - How long will it take for the last gear to spin?
Episode 5 - Is it possible to spin the last gear? • Is it possible to spin...
Episode 4 - Generator: • Homemade GENERATOR GEA...
Episode 3 - Drill: • 3d Printed Gearbox + D...
Episode 2 - Speed Test: • 3D Printed Gearbox - S...
Episode 1 - How fast can they go? • 3D Printed Gearbox Ser...
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Follow along as we 3d print different gearboxes, try different gear ratios, explain the science behind these mechanisms.
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#gearbox #ender3pro #gears #gearratio #ratio #3dprinted #marblerun #satisfying #machines #tech #ASMR #create #3dprints #3dprinting #3dprinter #galaxy #marblemachines #workshop #woodworking
I just wanna see a gear box spin so fast that the first gear itself has a catastrophic structural failure and explodes, i dunno sounds like it'd be cool
I support
I also support
Well for us not to much fun for him
catastrophic structural failure haha forged in fire line
Which would then make the second-to-last gear the last one, which could then also spin faster and explode.
Then the next one.
Then the next one...
"It would take 25,000 years to get the last gear to spin just one time"
I'll believe it when I see it.
Yep...and I'll be there right by your side as a witness.
CZcams does not support videos of such length.
@@FirstnameLastname-hg5gt Noooooo, really? I thought video lengths could be infinite!! My perception of reality is ruined!!!!!!!
@@GuyWithAHat Remember when CZcams limited videos to 10 minutes maximum?
@@andrewmccormack4295 I think if we both watch it'll only take 12,500 years. I think that math checks out.
Approximating the gear’s radius to 5 cm, it would take around 21 hours for the last gear to rotate once if the first one was rotating at nearly the speed of light
And this isn't accounting for relativistic effects.
Are you a math magician
@@LadyAnuB I don’t think relatively would affect it but I’m not sure about length contraction.
*brain explodes*
@@jugemujugemugokonosurikire4735 So will the gearbox once the first gear hits more than 10-20k RPM. Love the theorycraft but real world physics and material properties apply. It's plastic...
It's amazing how much time can be represented by such a small, straightforward machine. If you made one of these with just a few more gears, 30 total, to be exact, even at 10,000RPM, it would theoretically outlast the observable universe before the last gear turned once. You could create a physical representation of the entire remaining lifespan of everything that ever was, currently is, or ever will be with a hand full of spinning plastic disks.
czcams.com/video/F1CddzgVW14/video.html if you havent seen this yet I'd recommed it.
@@chrishate3983 Ayyy, cultured. I was just about to bring up the Universal Death Clock, myself. That video always manages to rear its head in the back of my mind whenever I hear or think about exponential growth.
Profound AF. O_o
Bruh it's Wednesday
Thank you for this amazing insight
25,000 years for 1 spin? Well, that's a challenging live stream.
I'll bookmark this for year 27021.
@@SilversEC 😁
Mr Beast is already on it.
@@artisticdad4932 😁
Look up the Pitch Drop Experiment.
Driving it from the other end must feel like moving a safe
Ikr
A safe the size of a planet, maybe.
@@chagmenlietons3606 well, its funny couse nit even close. The energy needed to move such a transmistion is beyond imagination. Nome known material would whithstand such Force
More like moving a celestial body. The force required to move the exponential gear ratio would be inconceivable. If you could spin the last gear a full rotation in 60 seconds, the first gear would break the speed of light.
lol, more like moving a universe!...a gear ratio of 70 trillion : 1 is impossible to move from the other end.
Last gear:
RPM: *almost non existent*
Torque: can pull the Sun towards the Earth.
It would break that piece of plastic first
@@Mike-vo2rp make em out of damsicus steel
@@Mike-vo2rp Make thicker gears
@@yeetusdeleetus that would make them heavier, making it even harder to get the last gear moving.
@@kingbrit4583 then use a stronger/faster motor
Last Gear: "Moves 1 nm"
The First Gear: *Speed Is Life*
@Matthew G so
*Speed is Life?*
@Matthew G so
It keeps you awake?
@Matthew G interesting so
*Speed is Life?*
@@RandomPerson-rt3sz using some calculators, last gear moving 1 nm = first gear moving about 70 km
@Matthew G Where do you learn things like this? :O
Not really knowing anything about the physics or really anything involved in an experiment like this, I was at first "I bet it's going to take at least an hour" at the end of the video "Well, I was technically correct"
it's like saying, "did you know the observable universe is 93 billion light years, or 880 septillion kilometers in diameter? that's more than one football field!"
You were only off by a factor of 219 million.
@@stargazer7644 They were correct. They said atleast an hour. 25000 years is greater than an hour, so correct
R/technicallycorrect
Technically correct, the best kind of correct.
"Then said the shepherd boy, in lower Pomerania is the diamond mountain, which is two miles high, two miles wide, and two miles deep. Every hundred years a little bird comes and sharpens its beak on it, and when the whole mountain is worn away by this, then the first second of eternity will be over."
That's one hell of a bird.
A good reason for getting vaccinated. Dead takes forever.
Ngl, even I have heared this story but with different values and figures
@@slowedreverb6819 Yeah, though this is the original, it comes from the Brothers Grimm, though most people know it from Doctor Who
@@danbrownellfuzzy3010 😆 bring vaccines into this. You ok?
I’d love to see some numbers on the torque needed to spin the last gear and make the first one spin faster than the speed of light.
Same
More torque than any of those materials can handle.
i wanna see the numbers of what it takes to make the last gear spin at the speed of light
@@mrfamous333 obviously
@@mrfamous333 carbon fibre
Imagine hooking this up to a doomsday device that will go off when the 23rd gear does one full rotation. Lmao
That… actually sounds like a cool idea for a film or short story. Do you mind if I take that and write a script based on it?
@@maxwilson7001 we actually had the same idea... you take it lol
@@maxwilson7001 Sure, link it and credit me though :)
@@Deus-Vult_Against_the_bots Can and will do, although I'm not sure how I will credit you. Maybe in the credits of the film if it ever gets made?
@@iameverywhere7 Ya know that gives me another idea. How about we collaborate on it? We could write it on Google Docs so we can both work on it.
I wonder, if you were somehow able to get the last gear to spin at 1 rpm (without the gears breaking) how fast would the first gear theoretically rotate?
It would rotate at 70,368,744,177,664 rpm, assuming that it's infinitely strong and won't warp under the extreme speed. The amount of torque you would need to do this will be astronomical, infact it is infinite, as the last gear would move faster than light.
@@thepizzaguy8477 damnn
@@Dxm612 btw, I'm nearly certain that it would be many times the speed of light. So yeah, rotating the last gear would destroy either the gearbox or reality
enough to make a black hole
@@thepizzaguy8477 I feel like that is an understatement.
old inkjet printers are a good source of ground polished axles, no need to buy new
who has an old inkjet printer just laying around?
@@graaaby me lol
Or a toner cartridge may work(it’s got a smooth steel rod inside)
oh ok yeah cool i totally got a bunch of those lying around thx 👍👍👍
@@benis9635 eBay is a thing
There’s this interactive science center near me and one of the things there is a machine set up similar to this, just larger. The goal is to knock over a glass with a bar on the last gear. But since most kids are too impatient and it would take forever to get the last gear to move, the glass has never broke when I’ve visited
Does spinning one time means moving 360 degrees or the tooth of the gear moving by a unit?
One rotation or 360 degrees
Technically the last gear is spinning every time the first gear spins no matter how minute.
Really goes to show how incredible gears are!
I can only imagine how this came into being. It's like they said "I don't know what to spend my time doing, let's make a thing that does nothing and hope it's fun."
It’s the same principle behind clocks/ watches that keep track of days and months as well as hours, minutes and seconds. One gear moves at a speed relative to the next one and the next one and so on and so on.
His choice of making an effort that gets little done was making this gears video or going fly fishing 😉
(I hear guns being cocked, so I'll let myself out now 🙃🙂🙃🙂🙃)
I like how this video keeps being made every few years.
and how it keeps getting recommended to us!
One of the most random and interesting CZcams videos I have no idea why I watched.
What if you start spinning both ends so that the gears in the middle start spinning at the same time?
You can’t spin the right end at all
We haven't discovered a material strong enough to support that.
@@pinkiepie1656 Even if the gearbox was indestructible you'd need to burn all of earth's oil reserves to get it to spin at any noticable rate, and it still would be way under 1 rpm.
The gear isn't symmetrical.
@@pinkiepie1656 no material exists, it'd take a force stronger than the nuclear bonds themselves to spin the last gear, its physically impossible, litteraly
My mind still cannot wrap around this and how long it takes. Amazing!
And yet, the last wheel would have gone around 160,000 times since the Earth was formed.
@@stargazer7644 when you think about it thats not that much
@@jairajsinghshaktawat6593 meth
@@jairajsinghshaktawat6593 Dont act like you can understand, even Einstein couldn't. Human imagination has limits, and those limits are very low compared to the extraordinary world we live in. You couldn't even imagine 0.01% the speed of light
Gear ratio is underrated. So fascinating
"...and the gears, they turned for a thousand years, until the dark day that they stopped."
I love this series keep it up.
I love 3d printing mechanical stuff.
If you wanted to make the first gear spin as fast as possible by hand, which gear should you spin ? The last gears are impossible and the first gears wouldn't spin very fast, so there must be an optimal gear.
It’s at 1:30
@@user-de4cq6uk6l I'm not sure, the sixth gear may be too hard to spin. The fifth gear, or even the fourth, could possibly be better.
@@givrally7634 well the optimal gear depends how hard you can push it
there is no 'optimal' gear. Same as driving a car. You'd start low and work your way up. Engine power limited like arm strength limited. Terminal velocity when friction forces equal strength. @Givrally @f
All are equal.
Quick calculation, if the gears’ circumference is 8 inches, the maximum possible rotational velocity of the last gear is once in about 13 hours. That puts the first gear spinning at the speed of light.
Nice, I like that. Thanks for taking the time.
wait so theoretically........ if the other side is "stationary" and mostly the first 8 gears work... what will happen if we spin them on the other end at the same time... will they feel for example a counter-spin rotation at the middle gears if the friction/ratio is so far apart? will they get stuck/get blocked eventually?
the gears would break from all the force needed to push the last gear (70,368,744,177,664x the effort to push the first one)
Yeah, torque is a bitch.
@@Super-Duper_Space_Goat I don't think he's asking that. I think he's asking if you spin the two end gears contrary to each other, would you end up having two fast groups of gears separated by a handful of nearly stationary gears? Or would the gears just not work, getting locked up due to the contrary rotations just like you'd expect?
I'd say it's possible that you'd have the two fast spinning groups of gears option dude to even the smallest imperfections and tolerances allowing the gear end gears to spin relatively freely for a while before the locking up starts to occur
It seems like you got the circumstances wrong. The gears aren't aligned symmetrically, but arranged with the same 4 : 1 ratio throughout the whole thing. This means that you can't spin the other end at all unlike the first gear where you can spin easily. To answer your question, no. It's not exactly "stationary." It rotates around 1/7 trillion revolution every time you spin the first wheel. He just said it's stationary because 1/7 trillion is almost negligible and can't be detected by human eyes. In gears, there's a thing, if it requires 70 trillion revolutions for the first wheel to spin the last wheel once, then the amount torque exerted by the first wheel is 70 trillion times stronger than when you exert the same force on the last wheel, ignoring friction of course. So if you exert equal force on both ends, the counter-spin rotation almost exerts no torque and will not be able to counter the original torque from the front end at all.
@@victorkao1472 Indeed the gearing means that the final gear will have it's large cogwheel connected to the smaller cogwheel of it's neighbour so it will drive that one four times as fast as itself, the one before that 4 times as fast again and so on. As Victor says the gearing is not symmetrical so you can't spin the other end as he showed.
What might be interesting is considering whether 11 gears setup in a line from each end so they are going opposite ways, and both connected to the same 12th cogwheel in the centre but both trying to drive it opposite directions simultaneously would work. Is the movement of the 12th wheel so negligible that you could actually have the first few gears at each end going in opposite directions without it breaking, at least for a little while.
Probbaly one of the coolest experiments ive seen in a long time very creative stuff
Very interesting. There is so much meaning that can be extracted from this concept.
I’ve been told by many that I must be the most stubborn person alive. So I will harness that power and will live to see that last gear spin.
I've seen a gear system set up that was over 10^100 to 1. You could have spun it until the Big Chill, and that last gear wouldn't have visibly budged.
Imagine the force if he managed to spin the last wheel as fast as he's spinning the first gear
It is impossible, he'd be spinning the first gear at much more than the speed of light, which requires literally infinite energy
@@pietrociceri7845 how black holes are created
@@diogenes1351 No, black holes are made when an object's radius is smaller than its specific Swartzchild radius.
@@diogenes1351 Or if you're talking about kugelblitz than yeah, sorry, I forgot about those
@@diogenes1351 Yeah...but no...no...not even close. I'm guessing you are a gamer???
Very interesting print designs, earned my sub!
This video was amazing! Thank you!!!
4:1 ratio for each gear is very high. Imagine if it was 4:3 instead, then you COULD spin all 24 gears. Then your approx 70 trillion to 1 ratio would become only about 747:1, therefore spinning the slowest gear only 1 degree should spin the fastest gear 2 complete revolutions, plus a little more.
And?
@@larjkok1184 the gear can spin without waiting 25,000 years Larj.
The point of the video was to create as large a difference as possible between the speed of the first and last gear. Making the ratio less dramatic would be counterproductive
@@Bruski76159 I had some new countertops put it successfully recently... that was counter-productive.
@Stanky Pankey Yes, and sometimes they add extra weight to them as a counterweight.
Well it looks like you worked directly on the print bed. Kudos. I thought you were going to take it out after deburring holes with drill.
That was so much more than I expected. Really cool experiment 👍👍
Great video! I cannot wait to the speedrun version of getting the last gear to move.
Guy: spins the wheel from the opposite side
The first wheel: *speed*
Can't wait to see this video recommended in 27021.
the amount of time it takes to spin the last gear blew me away .. wow! amazing video
I wonder what the tolerance on the end gear means in terms of theorethical rotations on the input, must be insane to see how many spins it take to overcome the play in all gears.
I love how we can actually apply huge numbers to something we can interact with.
That is the most energy inefficient thing I’ve ever seen in my life!
A great example with a real and simple mechanism to illustrate an imponderable.
Really interesting how the gears work, so fascinating with the different speeds, and in the colors red, blue & yellow,
The question is if there was no friction, how many times would you have to slap the last gear for it to make a full rotation?
All the other gears would slowly gain speed until the last gear spins.
If there were no friction and no inertia, any pressure on the last gear would cause the first gear to move.
@@stargazer7644 That wasn’t my question though
@@Corzappy What did you intend to ask? The answer to your question, as stated, and as I clarified, is one. Any torque at all on the last gear would result in a full rotation. In fact, it would never stop.
@@stargazer7644 Re read my comment if you don’t understand
Arguably once I guess, if you apply any force to it then it would technically set the final gear in motion, allbeit completely imperceptibly, and with no friction then it would continue forever and at some point have made a full rotation. Every additional time you 'slap' it would speed up the rotation and reduce the time it takes but assuming friction is the only force that would have been acting to slow down the rotation then once is sufficient.
Pretty Sweet! Thanks for the shoutout!
this made me happy!
Nice concept.
Imagine how much speed you could produce if you had a way to spin that last gear reliably
You can’t create energy only transfer it from one type to another. So the energy it would take to spin the last gear would equal the same energy as the first gear creates.
But that’s in a perfect world without friction and noise among other things.
Friction makes heat energy so you’d lose energy by spinning the last gear
If you spun the last gear the first gear would have very little torque and probably wouldn’t be able to turn anything to create energy
You would get less energy out of the last gear than you put into the first gear.
@@leagueoflegendsplays9420 I didn’t mean like, electrical energy or whatever, I was more or less talking about turning a wheel on a vehicle, plus I really don’t care about all of your physics shit, it’s a hypothetical
-say if you were orbiting around a black- -hole and you built a hypothetical- -penrose sphere to- -harness- -the energy with radiant scattering- -of ligh- -t, (might have gotten some names a bit- -mixed- -up) then you might be finally able- -to spin the last one within a lifetime- check my other reply to see a reworded version.
@@GalaxyStudios0 I think you misunderstand how that system would work if it was real
So in other words the last gear moves as fast as a clock on Friday at 4 when you get off at 5?
The ball bearing gadgets at the end were pretty cool too. Love that you can print all kinds of things nowadays.
That would be a really nice thing to have on the shelf, continously running.
0:52 he unlocked the TRUE JEDI trophy
(Lego reference)
OH I GET IT LOL
@@punie6456 that's right! I meant the sound when you build something in a Lego game
LMAO
When someones engineer school application gets denied, they make a 3d printing channel and make the same videos over and over again for the rest of their lives. Here we see subject number 217,559 bringing up the same concepts of gear reduction yet again. Truly fascinating they continue this behavior pattern for such a prolonged period of time
Nature works in mysterius ways brother
blame the viewers not the creator, they get 1m views a video over the year for doing the same thing repeatedly, thats a good work to pay ratio that works, unlike these gears.
@@kemalsorucuoglu3689 ever see the movie Idiocracy? We are getting closer to that day by day
I see we have a lot of people in this comment section with IQs high enough to fully grasp Rick and Morty
Thanks for showing me the transmission of a car ahead of me on a red light.. I finally do know why it takes so long for them to get moving
I didn’t know I needed this in my life
Try an air compressor and spin the first gear for like 30 minutes with it
"I'm using silicon oil to make it spin easier"
"Yeah SOOOO turns out it'll take 25000 years for the last one to spin"
I liked that mini like metal ball roller coaster at the end
This is incredible
You should set this up and then place it in a glass box as a time capsule, it would be a crazy art piece.
A time capsule no one will live to uncover. A great way to give everyone an existential crisis in an educational way.
If there are 23 gears in the machine and the gear ratio is something that takes effect between every two gears, then the final gear ratio would be 4^22
Exactly. I feel oddly insulted that he said it's 4^23 instead of 4^22
Edit: nevermind I counted, there are 24 gears in total in the video.
That's why he said there are 23 *pairs* not gears
There are 24 gears.
@@victorkao1472 "I feel oddly insulted that he said" Lmfao. It doesn't take a genius to see that there's an even number of gears with a quick glance. The second gear is the yellow on the left, and the last is the blue, also on the left.
Maybe what you should feel oddly insulted about is yourself for being in a rush to take the opportunity to look smarter than the uploader.
@@stargazer7644 the teeth on the outside of the first gear and the teeth on the inside of the last gear do no work so you have you -1 gear
Gear rations are in of things I always Marvel at. It’s so simple yet you can get things moving so fast with little force.
Came across this vid by random nice little nugget of info there thanks for sharing. Have a nice day.
Rest In Pieces Mr. Last Gear, maybe one day...
My thought on this was. First one is four times the second and everyone of the 23 after it too. So: 4^(23)=70.368.744.177.664 Rounds from the first one to make the twentythird spin once
Nice example of properties of exponentials!
Something so simple and yet so mind boggling.
You should add a flywheel to keep the speed in the gears, maybe that would help?
Fly wheel would only help maintain speed if the input speed suddenly decreased
He did a really good job condensing 25000 years of footage into a 5 min video.
This is so cool no cap
Thought this would be boring but actually very interesting.
When the last gear finally spun for the first time, we ended the video and never used it again lol that’s why the last gear would wait till 25k years to spin
Welp, I’ll see you all in 25,000 years once he finally uploads the video of him spinning the last gear once.
That's really amazing, I thought this would be a ridiculous video, but that's incredible 25,000 years! Mind blown!😵
Wow that’s amazing
this is basically how gears on a bicycle work. Very cool!
What if you would spin the last gear 1x in 1s... the other end would reach 2x light speed and warp back in time?
time machine :)
TIME TRAVEL ONLY WORKS FORWARD
My thoughts exactly...
Mind blown at that figure 😳🤯
definitely need this but in 1.2:1 format
so when is the 25,000 year live stream coming out can't wait to see the last gear spin from the after life.
Idk, just by looking at it I feel like it wouldn't be completely impossible to spin. Maybe this is how we achieve beyond light travel hehe
Cool video, would have liked to see a time lapse of it running with a motor to see some of the slower gears turning.
Great choice of background music :)
For the last one to spin one rotation, the first would have to spin 70,368,744,177,664 times.
Posted just before you said it.
As a software tester, I love this. Clients expect me to spin that last gear. I do my best, but like this example, we run out of millenniums
Lol this is so funny. It's absurd. Well Done.
That is a lot of torque!
The last gear is spinning just so slowly that you can't notice it.
but how long will it take for it to complete one rotation was the question, which was also answered in the video.
@@armanuts2849 No! It says, “how long for the last gear to spin”.
@@davidharpley2573 dont be a smartass, im talking about IN the video, not what the video is titled.
Well actually it's not
if mark rober tried to make a machine thats gonna spin the last gear then the video would probably be like 30 mins
And the world will end
Actually sincethe gear ratio is 4 To 1 for face le the 23 gears. The first gear need To turn 4 To the 23th times To makethe last gear turn 1 time. (Basically 1 million billion times)
What would happen if you put another 23 gears pair in the other direction attached to the last gear? Would then the first and last gear turn 1:1.. or would it break due to the forces?
Can you upload the full video where you spin the last gear one time?
A 25,000 year length vid would be great to watch before I go to bed
This is insane to think about! 25,000years to get one spin out of the last gear, mind-blowing 🤯🤯
EDIT: LOOKS SO SIMPLE BUT THE THINKING BEHIND IT IS AMAZING!
Calculate one by one how much force required to spin each gear from 1st to Last 23rd.
Just live on the other side, put your bed attached to ig
There are 24 gears, btw
Its a good job you oiled up that last gear, you wouldn’t want it to prematurely wear out.
Now that's some torque.