Use a simple pendulum and a known value of g to measure Pi.
A puzzle for KS5 students, presented as ‘confirm that our region of spacetime can be considered locally flat’.
Let them wonder for a bit, then tell them they’ll be given a lump of metal, a ruler, stopwatch and a bit of string, and see where the discussion takes you.
Opportunity to really go for those uncertainties - if you don’t get a result that you can believe in to 3 or 4 sig figs then you haven’t really tried!
Original idea from Matt Parker https://twitter.com/standupmaths who has an unhealthy fascination with Pi.
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