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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 = 2 where g is acceleration due to gravity (in metres per seconds²). Use differentials to determine by approximately what percentage the length of the pendulum changes if the acceleration due

The period T of a pendulum ( in seconds) is related to its length L (in metres) by the popular formula T = 2 where g is acceleration due to gravity (in metres per seconds²). Use differentials to determine by approximately what percentage the length of the pendulum changes if the acceleration due

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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.
Transcribed Image Text: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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