Question

Acceleration due to gravity is measured on the surface of the earth by using simple pendulum.if alpha and beta are relative errors in measurements of length and time period respectively then percentage error in the measurement of acceleration due to gravity is

Answer 1

Relative Error in Length = α

Relative Error in Time = β

% Error in the Acceleration due to gravity = % Error in Length + % Error in Time.

= 100α + 100 × 2β

= 100(α + 2β) %

Hence, % Error in acceleration due to gravity is 100(α + 2β) %.

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