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In an experiment with a simple pendulum, the largest possible error in measuring its length is 2%, while the largest possible error in measuring its time period is 3%. What is the maximum percentage error in the calculated value of acceleration due to gravity, g?
- 5%
- 6%
- 1%
- 8%
Correct answer: 8%
Solution
From g = 4*pi^2 L / T^2, the fractional errors add as (dg/g) = (dL/L) + 2(dT/T). So maximum % error in g = 2% + 2(3%) = 8%.
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