一种新的精确方法求单摆的周期  

A NEW ACCURATE METHOD FOR CALCULATING THE PERIOD OF A SIMPLE PENDULUM

作　　者：吴晓明[1] 王珍 WU Xiaoming;WANG Zhen(Hefei No.1 High School,Hefei,Anhui 230000)

机构地区：[1]合肥市第一中学,安徽合肥230000

出　　处：《物理与工程》2024年第4期217-220,224,共5页Physics and Engineering

摘　　要：本文以单摆为例,使用高斯AGM函数和级数展开方法分别近似求解单摆周期,并和理论值进行了对比。本文最后对一道有关纯滚动的球在圆轨道内周期问题作了巧妙求解。Taking a simple pendulum as an example,this paper uses Gaussian AGM function and series expansion method to approximate the period of the pendulum,and compares it with theoretical values.It also cleverly solves the period problem of a pure rolling ball in a circular orbit.

关 键 词：纯滚动 类简谐振动 周期 高斯AGM函数 级数展开 

分 类 号：O314[理学—一般力学与力学基础]