Answer to Question #316234 in Physics for dlo

Question #316234

what is the calculation and errors of simple pendulum expriment ?


1
Expert's answer
2022-03-23T07:15:54-0400

The period of oscillation of a simple pendulum is given by

"T=2\\pi\\sqrt{\\frac{l}{g}}"

In experiment we use a simple pendulum to calculate the acceleration due gravity

"g=\\frac{4\\pi^2l}{T^2}"

The uncertainty of acceleration is given by

"\\frac{\\Delta g}{g}=\\sqrt{\\left(\\frac{\\Delta l}{l}\\right)^2+\\left(\\frac{2\\Delta T}{T}\\right)^2}"


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