The length of a simple pendulum is measured as with an uncertainty of

PHYSICS · Multi-part · A Level · Physics · Measurements and their errors · Measurements and their errors

Problem

The length of a simple pendulum is measured as

0.750\,\text{m}

with an uncertainty of

\pm0.002\,\text{m}

. The time taken for

50

oscillations is

82.0\,\text{s}

with an uncertainty of

\pm0.2\,\text{s}

. (i) Calculate the value of

g

obtained from the experiment (take

\pi^2 = 9.87

). (ii) Estimate the percentage uncertainty in the calculated value of

g

. State your answer to two significant figures.