摆角、摆长及周期数对测重力加速度的影响分析

摘要

用单摆法测量重力加速度是普通物理实验中常用的方法,但在实验中,摆角、摆长和周期数常常对重力加速度的测量误差产生一定的影响.文章主要分析不同摆角、摆长及周期数三个条件对测重力加速度的影响,最终由处理分析结果可知,在普通物理实验室里,取摆角、摆长=47或55cm、周期数次,处理得到的重力加速度与本地的理论计算值很接近.%It is an ordinary method to measure acceleration of gravity with a pendulum in physical experiments.But in the experiment,the pendulum angle,pendulum length and periodicity often have some influences on measurement errors of acceleration of gravity.This paper mainly analyzes the influences of pendulum angle,pendulum length and periodicity on the acceleration of gravity.It can be seen from the processing and analysis results that the value of acceleration of gravity by experiments is very close to the local acceleration theoretical value when the swing angle is 3.8 degrees,pendulum length is 47 cm or 55 cm and periodicity is 37 times.