单摆周期T_0的理论分析与应用研究

Simple pendulum period T qualitative analysis and experiment research

理想单摆模型的周期与摆角无关,本文首先给出任意摆角条件下周期公式的精确解,同时用不同方法得出周期公式的近似解。通过T0-Tπ2lg与不同周期公式的比较,结果表明在误差允许的范围内,仍可用T0来代替T计算周期。

Ideal model of the pendulum swinging angle has nothing to do with the cycle.This thesis gives an exact solution of period formula of a simple pendulum,and provides approximate solution of period formula using different methods.Through the comparison between and other different formulas,the results show that T can still be replaced by to calculate the period in the permission of errors.