To get the value of g, the period(T), length of pendulum (l) and radius of pendulum bob (a) were measured.(adsbygoogle = window.adsbygoogle || []).push({});

Well, my question is actually to find which accuracy of one of these measurements need to be improved?

The formulae given to find the probable error are

ε _gT = (partial differentiation of g in respect to T) X ε _T

ε _gl = (partial differentiation of g in respect to l) X ε _l

ε_ga = (partial differentiation of g in respect to a) X ε _a

After calculating, the values were:

ε _gT = 1.1 X 10^-3

ε _gl = 3.5 X 10^-4

ε _ga = 6.9 X 10^-5

Since the ε _gT has the biggest derivative, I think T's accuracy is the one that needs the most improvement. Am I right or wrong?

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# Accuracy and differentiation

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