How long will it take for the last gear to spin?

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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?

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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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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

NxAllie
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"It would take 25, 000 years to get the last gear to spin just one time"

I'll believe it when I see it.

DasAlbatross
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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

spencersivertson
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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.

EssaysInTheCommentsSection
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25, 000 years for 1 spin? Well, that's a challenging live stream.

moriarty
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Last gear:
RPM: *almost non existent*
Torque: can pull the Sun towards the Earth.

renascence
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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"

TheOdMan
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Last Gear: "Moves 1 nm"
The First Gear: *Speed Is Life*

RandomPerson-rtsz
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Imagine hooking this up to a doomsday device that will go off when the 23rd gear does one full rotation. Lmao

BaneofBots
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"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."

IceGavel
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Driving it from the other end must feel like moving a safe

bepeplia
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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?

budderbro
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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.

nameofthegame
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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

xXAlexOrWhateverXx
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Does spinning one time means moving 360 degrees or the tooth of the gear moving by a unit?

heisenburger
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old inkjet printers are a good source of ground polished axles, no need to buy new

chetleonard
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Really goes to show how incredible gears are!

kryger
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My mind still cannot wrap around this and how long it takes. Amazing!

onecrazywheel
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I like how this video keeps being made every few years.

xtlm
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One of the most random and interesting YouTube videos I have no idea why I watched.

seansean