g = \pi^2
Yesterday I stumbled upon a fantastic blog by Isabel, a fellow grad student blogger at God Place Dice. She has some very well thought-out and fascinating posts (certainly more so than my blog) and GPD has quickly become one of my favourite blogs.
I wanted to share a particularly excellent post about why the gravitational acceleration at the surface of the earth is approximately in SI units. No, it’s not a coincidence; the meter was originally defined to be the length () of a pendulum with a two second period (). And, using the small angle approximation, we know from high school that:
Solving this, we get meters per (second)2. This is a very cute result with a nice touch of history, see the original post.
Anyway, thanks to Isabel for enlightening my day. 🙂
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