• 物理实验 •

### 单摆周期的系统误差分析

1. 南京晓庄学院 电子工程学院，江苏 南京 211171
• 收稿日期:2021-05-19 修回日期:2021-08-14 出版日期:2022-01-20 发布日期:2022-01-13
• 作者简介:邵云( 1973—) ，男，江苏镇江人，南京晓庄学院电子工程学院讲师，主要从事理论物理教学和研究工作.
• 基金资助:
江苏省教育科学“十三五”规划课题( D /2020 /01 /55)

### Systematic error analysis of period of simple pendulum

SHAO Yun

1. School of Electronic Engineering，Nanjing Xiaozhuang College，Nanjing，Jiangsu 211171，China
• Received:2021-05-19 Revised:2021-08-14 Online:2022-01-20 Published:2022-01-13

Abstract:

This paper analyzes and calculates the influence of the pendulum angle，the rotation of

the ball，the mass of the suspension line，the air buoyancy and the air resistance on the period of

the pendulum one by one. Tak- ing a 1 m length and 5° swing angle small amplitude pendulum as an

example，the relative errors of the five factors are

+0.45‰，+0.02‰，-0.45‰，+0.07‰，-0.14‰，respectively，and the total is only -0.05‰，which means that the

five error factors almost cancel each other，and the systematic error of the small

pendulum experiment is very small in theory. This paper gives a more detailed

reasoning，calculation and analysis process，especially the reasoning process of air resistance

moment，as well as charts and tables，for providing a more complete and accu- rate

understanding. Finally，some necessary explanations are given in view of some possible deficiencies

in people's understanding of air resistance.