一个计算简单而实用的单摆周期近似公式  

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

作　　者：杨天虎[1,2] 岳志明 李玉宏[1,2] YANG Tian-hu;YUE Zhi-ming;LI Yu-hong(Department of New Energy Engineering,Jiuquan Vocational and Technical College,Jiuquan,Gansu 735000,China;Key Laboratory of Solar Power System Engineering Project,Gansu Province,Jiuquan New Energy Research Institute,Jiuquan,Gansu 735000,China)

机构地区：[1]酒泉职业技术学院新能源工程系,甘肃酒泉735000 [2]甘肃省太阳能发电系统工程重点实验室,酒泉新能源研究院,甘肃酒泉735000

出　　处：《大学物理》2020年第10期18-21,共4页College Physics

基　　金：甘肃省高等学校产业支撑引导项目(2019C-20)资助。

摘　　要：通过对单摆周期准确解的幂级数分析推导,给出了一个计算简单、方便实用的单摆周期近似公式,在振幅近180°的范围内,其相对误差均小于0.05%.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°.

关 键 词：单摆周期 椭圆积分 近似公式 

分 类 号：O313.1[理学—一般力学与力学基础]