The length of a simple pendulum is about 100 cm known to have an accuracy of 1 mm . Its period of oscillation is 2 s determined by measuring the time for 100 oscillations using a clock of 0.1 s resolu

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The length of a simple pendulum is about 100 cm known to have an accuracy of 1 mm . Its period of oscillation is 2 s determined by measuring the time for 100 oscillations using a clock of 0.1 s resolution. What is the accuracy in the determined value of g ?

TestHub · Accepted Answer

T = t n Δ T = Δ t n Δ T T = 0.1 2 × 100 = 0.05 % Δ l l = 0.1 100 = 0.1 % g ∝ l T 2 % error in g = 0.1 + 2 ( 0.05 ) = 0.2 %

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