The length of a simple pendulum is about 50 cm known to an accuracy of 1 mm. Its period of oscillation is 1.4 s, determined by measuring the time for 100 oscillations using a clock of 0.1 s resolution

Question

The length of a simple pendulum is about 50 cm known to an accuracy of 1 mm. Its period of oscillation is 1.4 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

Δ l l = 0.1 50 = 0.2 % Δ T T = 0.1 140 ≈ 0.071 % % error in g = 0.2 + 2 × 0.071 ≈ 0.34 % ≈ 0.3 %

Physics - Unit & Dimension Question with Solution | TestHub

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