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
吴晓明 1王珍1
作者信息
- 1. 合肥市第一中学 安徽 合肥 230000
- 折叠
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.
Abstract
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Key words
pure rolling/quasi harmonic vibration/cycle/Gaussian AGM function/series ex-pansion引用本文复制引用
出版年
2024