单摆周期的系统误差分析
收稿日期: 2021-05-19
修回日期: 2021-08-14
网络出版日期: 2022-01-13
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
Received date: 2021-05-19
Revised date: 2021-08-14
Online published: 2022-01-13
邵 云 . 单摆周期的系统误差分析[J]. 大学物理, 2022 , 41(1) : 32 . DOI: 10.16854 / j.cnki.1000-0712.210247
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.
Key words: period of simple pendulum; system error; swing angle; air resistance; factor
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