Live data from Hacker News

A googol-to-one gear ratio [video]

kottke.org

101–110 of 115 posts

Re: A googol-to-one gear ratio [video]

#101
post #27

Earlier quoted context omitted.

Impressive but imho he could take it one step further and instead of concrete on the other end, he could rotate the gear in the opposite way.

When all the slack has been rotated out, it would require a tremendous amount of force to rotate that last gear in reverse. After all, the system wants to amplify the gear speed from that end.

[deleted]

Re: A googol-to-one gear ratio [video]

#102

Earlier quoted context omitted.

I'm sure it can spin a bit faster. Why can't it spin so fast that the final wheel visibly turns? Well the first wheels would melt from friction or be torn apart before then, and where are you going to get that much energy to turn them so fast? At some point there's the speed of light as a limit as well.

> At some point there's the speed of light as a limit as well. Why not put it in a dark room before starting up

The speed of light as a limit applies to matter like these cogs as well.

Re: A googol-to-one gear ratio [video]

#104
post #92
post #33

Earlier quoted context omitted.

I imagine you could get several thousand RPM at least with a hand pump and a dentist's drill, if mechanical gearing is not a requirement.

I think ~100k RPM is achievable with a shirt button on a bunch of twisted strings, pulled on both ends. This was actually used to construct a cheap mechanism that needed the high g to separate some chemicals to analyse samples. I can't remember the details though.

125k RPM. For malaria detection using a whirling paper centrifuge, powered entirely by hand. https://news.stanford.edu/2017/01/10/whirligig-toy-bioengine...

Re: A googol-to-one gear ratio [video]

#105
Are there any science museums that have something like this? When you look at this, you think that surely you can make that last gear spin. After all we've all spun gears, we know how they work. But it would be so counter intuitive to spin one of those gears by hand and basically see nothing happen no matter how much you spin it.

I know that would blow the minds of some kids (and adults).

Re: A googol-to-one gear ratio [video]

#106
post #105

Are there any science museums that have something like this? When you look at this, you think that surely you can make that last gear spin. After all we've all spun gears, we know how they work. But it would be so counter intuitive to spin one of those gears by hand and basically see nothing happen no matter how much you spin it. I know that would blow the minds of some kids (and adults).

The MIT museum has one

Re: A googol-to-one gear ratio [video]

#107

I would love for someone who knows more about physics to explain what effect a single rotation of the front gear actually has on the last one. Naively you would assume that every rotation of the first gear rotates the last by one googolth. But (I assume) that can't be true in the real world, since that distance is significantly smaller than a planck length. I have some educated guesses as to how the rotation is actua…

There's slop in between the teeth of the gears, they aren't perfectly tightly meshed. All of the gears can wiggle back and fourth that amount, but the "wiggle room" of the last gear gets shifted one googlth of a rotation per one rotation of the first gear. If all of the gears were pre-loaded, such that the slop was "behind" the contacting teeth, then the last gear would turn one googlth of a rotation, with an incompr…

The Planck length is simply the characteristic length scale for processes where both general relativity and quantum mechanics play a role at the same time. Since these theories are incompatible, our current understanding of physics does not work for such processes. It is _not_ the smallest unit of distance or something like that. In both GR and QM, positions are continuous quantities with no discretization.

Re: A googol-to-one gear ratio [video]

#108
post #92

Earlier quoted context omitted.

I think ~100k RPM is achievable with a shirt button on a bunch of twisted strings, pulled on both ends. This was actually used to construct a cheap mechanism that needed the high g to separate some chemicals to analyse samples. I can't remember the details though.

125k RPM. For malaria detection using a whirling paper centrifuge, powered entirely by hand. https://news.stanford.edu/2017/01/10/whirligig-toy-bioengine...

Thank you! I was not able to dig this up.

Re: A googol-to-one gear ratio [video]

#109
post #27

Earlier quoted context omitted.

Impressive but imho he could take it one step further and instead of concrete on the other end, he could rotate the gear in the opposite way.

It would take more energy than the total energy of the known universe to turn the last gear.

Nah, I'm sure it would take less than 100lb-ft to rotate it, but it'll have fewer teeth when you're done.

Re: A googol-to-one gear ratio [video]

#110

Earlier quoted context omitted.

There's slop in between the teeth of the gears, they aren't perfectly tightly meshed. All of the gears can wiggle back and fourth that amount, but the "wiggle room" of the last gear gets shifted one googlth of a rotation per one rotation of the first gear. If all of the gears were pre-loaded, such that the slop was "behind" the contacting teeth, then the last gear would turn one googlth of a rotation, with an incompr…

I wanted to make a geared divider for a "micrometric" slide but the slop/room made me wonder if there was a way to know the actual precision.

The slop is called backlash. On cnc machines they go to some effort to reduce it through fancy gear and lead screw design. You could just go old school and take it out by how you operate the machine. If you only ever measure while traveling in one direction, then the slop will be taken out and won't matter.
Post reply on HN