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dimensional reasoning, fermi problems

This image has been burned into my brain for 7 years now. This image and the story behind it taught me a great lesson about physics and business while I was studying for my undergrad at the Cavendish laboratory in Cambridge.

The lesson was that you can get to within an order of magnitude of calculating the power of a nuclear bomb using that picture and a bit of common sense. The full story can be seen here and I highly recommend you read it. Spending a short amount of time and really thinking through a well defined problem should give you a good idea of the answer. If the order of magnitude of the result of a test isn’t interesting to you based on that reasoning, don’t do it. Move on to the next thing. Focus on the high impact. Your time on earth is short, don’t waste it doing trivial things.

The fermi problems are also an interesting space which I consider really similar to dimensional reasoning which is just using common sense to determine a value. My favorite is “how many blades of grass are there in a front yard”. The idea being you realize the yard is something like 10m by 10m and there are something like 20 blades of grass in a cm squared so you have 10^6 cm squared and hence 20million blades of grass in that lawn give or take.

I am a huge fan of doing this common sense checking before you do projects or to make sure that a number you are quoting is right. Really great reminder from o’reilly radar (an awesome blog) to think about this stuff.

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