First, beta, write each timing measurement separately, find their mean and standard deviation—that’s your uncertainty in time period. For error propagation, if you use T = 2π√(L/g), remember the rule: fractional uncertainty in g is twice fractional uncertainty in L plus twice fractional uncertainty in T. I learned this patiently, redoing my son’s old physics exercises after my own poor result. But in truth, the biggest error is often our hurry—like my weather app’s bugs when my tired eyes skip steps—so take three sets of 20 oscillations, not just 10.
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