The original mentioned, Arthur Ganson's Machine with Concrete, is quite a bit more artistic. The end is cast in concrete. The idea is that there is a certain amount of energy lost as friction in each gear, per turn. If you calculate the gear ratios and how many turns of the earlier gears would be required to make the final gear move, even infinitesimally, the amount of energy lost becomes more than all the energy in…
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.
A googol-to-one gear ratio [video]
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Re: A googol-to-one gear ratio [video]
#32Re: A googol-to-one gear ratio [video]
#33Flip it around .. what's the fastest rotational speed achieved via a hand powered machine?
Re: A googol-to-one gear ratio [video]
#34Earlier 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.
Re: A googol-to-one gear ratio [video]
#35Why can't it spin faster?
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.
Even if you managed to make a contraption that turned one electron into one rotation of the first wheel, and you fed the entire universe to your contraption... you’re coming up a few dozens order of magnitude short to make that full turn :^)
Re: A googol-to-one gear ratio [video]
#36Re: A googol-to-one gear ratio [video]
#37Earlier quoted context omitted.
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.
I think parent’s idea would work if the system was mirrored and duplicated. Then you could attach the two the them together with the stationary gears in the middle
Re: A googol-to-one gear ratio [video]
#38Earlier 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.
There are 10^80 electrons in the universe, Eddington thinks. Even if you managed to make a contraption that turned one electron into one rotation of the first wheel, and you fed the entire universe to your contraption... you’re coming up a few dozens order of magnitude short to make that full turn :^)
> where are you going to get that much energy to turn them so fast?
Re: A googol-to-one gear ratio [video]
#39Part of me likes to thing something crazy would happen if you turned it from the other end. Turn one gear once and the gear at the far other end turns a googol times but melts somewhere around a trillion rotations. Almost doesn't feel too outlandish given a scope that already includes "more energy than the entire known universe has" (per the article) for a measurement.
You would need a tremendous amount of torque to move the last gear, because gears multiply the angular velocity on one side and multiply the torque on the other. If it took one newton-meter (about the weight of one apple on a lever a meter away from the gear) to move the first gear, it would take a googol newton-meters applied at the other end of the device.
Aside, but I'm delighted to learn that one Newton is approximately one apple's worth of force. :)
Re: A googol-to-one gear ratio [video]
#40Earlier quoted context omitted.
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.
I think parent’s idea would work if the system was mirrored and duplicated. Then you could attach the two the them together with the stationary gears in the middle