Improvements in the approximate formulae for the period of the simple pendulum

M. Turkyilmazoglu

doi:10.1088/0143-0807/31/5/002

Improvements in the approximate formulae for the period of the simple pendulum

M. Turkyilmazoglu

Division of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

This paper is concerned with improvements in some exact formulae for the period of the simple pendulum problem. Two recently presented formulae are re-examined and refined rationally, yielding more accurate approximate periods. Based on the improved expressions here, a particular new formula is proposed for the period. It is shown that the derived formula has considerably high accuracy for all amplitudes of the pendulum, resulting in a maximum percentage relative error of only 0.035.

Original language	English
Pages (from-to)	1007-1011
Number of pages	5
Journal	European Journal of Physics
Volume	31
Issue number	5
DOIs	https://doi.org/10.1088/0143-0807/31/5/002
Publication status	Published - Sept 2010

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abstract = "This paper is concerned with improvements in some exact formulae for the period of the simple pendulum problem. Two recently presented formulae are re-examined and refined rationally, yielding more accurate approximate periods. Based on the improved expressions here, a particular new formula is proposed for the period. It is shown that the derived formula has considerably high accuracy for all amplitudes of the pendulum, resulting in a maximum percentage relative error of only 0.035.",

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AB - This paper is concerned with improvements in some exact formulae for the period of the simple pendulum problem. Two recently presented formulae are re-examined and refined rationally, yielding more accurate approximate periods. Based on the improved expressions here, a particular new formula is proposed for the period. It is shown that the derived formula has considerably high accuracy for all amplitudes of the pendulum, resulting in a maximum percentage relative error of only 0.035.

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JO - European Journal of Physics

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Improvements in the approximate formulae for the period of the simple pendulum

Abstract

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