All long-term value is built from the follow-through part of short-term habits. Follow-through as in golf swings not as in delivering on commitments. It’s respecting the momentum of every atomic action that produces natural “extra” effects relative to immediate needs.
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Huygens described them in his description of the pendulum clock but I suspect they were around before. Their artisan description — unwrapping path of the end of a taut string wrapped around a cylinder — sounds like something that would have been discovered before mathematization
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Anyhow, kinda interesting that my new clockmaker activities are leading to new perspectives on consulting habits. Pay attention to follow-through. Develop involute-profile work habits. And golf swings, so play habits too. Let each action smoothly set up the next.
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Unexpected side benefit of this thread is I have now discovered gear nerd twitter
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In practice, you do not want the faces to actually make contact, as they are sliding, will wear, and cascade. Oil at operating temperature* keeps them separate, which is why short miles are worse than long miles. Additionally: quiet is from helical cut:https://www.carthrottle.com/post/the-advantages-and-disadvantages-of-straight-cut-gears/ …
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Not that gearboxes are the only application of gears, but, usually, if you can hear them, they are not helical cut, or not lubricated, or failing. I think your analogy still stands.
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Fun fact: Involute gears are not the unique solution to this! You're describing the 'fundamental law of gearing' which says the angular velocity of both gears must be constant throughout the mesh. What's special about involutes is they obey it over a range of center distances.
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Cycloid gears obey the law as well, but only for an exact center distance which is hard to provide in most applications. They're easier to make though, so they're used a lot in watchmaking https://en.wikipedia.org/wiki/Cycloid_gear …
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