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The period T of a pendulum ( in seconds) is related to its length L ( in metres)
by the popular formula T = 2₁₂
g
(in metres per seconds²).
where g is acceleration due to gravity
Use differentials to determine by approximately
what percentage the length of the pendulum changes if the acceleration due
gravity is increased by 1% and the period is changed from 5 to 5.2 seconds
due to error in measurements.

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