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In this episode of the Machine Tech Video Blog, I go through the mathematical formula used to determine the resolution of an autocollimator - an optical instrument capable of measuring tiny angles of less than an arc-second. I explain where the terms in the formula come from by discussing two important phenomena in optics: the law of reflection and lens focal length. To illustrate these points, I use a fun little optics discovery kit and I go on a field trip to the Port of Oakland! Finally, I use the formula to calculate the resolution of an actual autocollimator. To purchase the kit for your own use, do an eBay search for "Optical Concave Convex Lens Prism Set Physical Optical Kit Laboratory Equipment".
For further reading on this topic, check out "Metrology with Autocollimators" by K. J. Hume. It's a fantastic book, albeit hard to find.
Juicy jams by Sun Hop Fat - "Yègellé Tezeta": www.sunhopfat.com/
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