Revolutionary Nano Gears: The Potential of Megaten Speed Bicycles

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SUMMARY

The discussion centers on the theoretical construction of nano gears for megaten speed bicycles, which could revolutionize cycling speed. It posits that if the last gear's radius is 10,000 times smaller than the first gear, significant speed increases could be achieved, contingent on the angular acceleration at the pedals. The conversation highlights existing nano gear technology, referencing Swiss watches as examples of miniaturization, while also addressing the practical limitations of friction heat and inertia affecting gear integrity.

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h.g.Whiz
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Suppose that it was possible to construct gears smaller than ones of modern ten speed bicycles(nano gears) and suppose your chain or belt could turn them and withstand the friction. First gear of course would be the same as a modern ten speed in order to get it moving. If the last gear's radius was 10,000 times smaller than the first gear how fast could this megaten speed bicycle travel
 
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How big are the wheels, how much force can the person push down on the pedals?

You can find it if you know the angular acceleration at the pedals.
 
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It's certainly already possible to make gears way smaller than those in a bicycle; try dissecting a Swiss watch sometime. (And they have made nano-gears, but there's no immediate commercial use for them.)
The only theoretical limits that I can think of when it comes to a gear train show up when either the friction heat or the inertia overcome the structural integrity of the gears and cause them to fail.
As for the practical limits, Cyrus has it covered.
 

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