A simple and practical approximate formula for the period of simple pendulum

YANG Tianhu, YUE Zhiming, LI Yuhong,

doi:10.16854 / j.cnki.10000712.200071

College Physics >

2020 , Vol. 39 >Issue 10: 18 - 21

DOI: https://doi.org/10.16854 / j.cnki.10000712.200071

A simple and practical approximate formula for the period of simple pendulum

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1. Department of New Energy Engineering，Jiuquan Vocational and Technical College，Jiuquan，Gansu 735000，China; 2. Key Laboratory of Solar Power System Engineering Project，Gansu Province，Jiuquan New Energy Research Institute，Jiuquan，Gansu 735000，China

Received date: 2020-03-05

Revised date: 2020-04-17

Online published: 2020-10-16

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Abstract

Through the analysis and derivation of the power series of the accurate solution of the simple pendulum period，a simple，convenient and practical approximate formula of the simple pendulum period is given，and the relative error is less than 0.05% in the range of amplitude nearly 180°.

Key words： simple pendulum period; elliptic integral; approximate formula

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YANG Tianhu, YUE Zhiming, LI Yuhong, . A simple and practical approximate formula for the period of simple pendulum[J]. College Physics, 2020 , 39(10) : 18 -21 . DOI: 10.16854 / j.cnki.10000712.200071

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