大学物理 ›› 2026, Vol. 45 ›› Issue (08): 59-.doi: 10.16854/j.cnki.1000-0712.250326

• 物理实验 • 上一篇    下一篇

斜面法测重力加速度:轨道水平量化与测量误差修正

张红雨,甘径宇,朱云霞,吕昭月   

  1. 华东理工大学 物理学院,上海200237
  • 收稿日期:2025-06-18 接受日期:2025-07-09 出版日期:2026-10-10 发布日期:2026-10-17
  • 作者简介:张红雨(1979—),女,山东临沂人,华东理工大学物理学院副教授,博士,主要从事力学和大学物理实验教学和研究. 

  • 基金资助:
    华东理工大学“大学生创新创业训练计划”项目(X202310251255)资助

Measurement of gravitational acceleration using the inclined plane method:  track levelness quantification and measurement errors correction

ZHANG Hongyu, GAN Jingyu, ZHU Yunxia, L Zhaoyue   

  1. School of Physics, East China University of Science and Technology Shanghai 200237, China
  • Received:2025-06-18 Accepted:2025-07-09 Online:2026-10-10 Published:2026-10-17

摘要: 斜面法是测量重力加速度的常用方法,轨道初始水平状态对测量误差影响显著.本文通过引入加速度折合系数直观量化轨道初始水平状态:系数为0.5时,轨道处于严格水平状态;其值偏离0.5越多,轨道水平偏差越大.研究表明,轨道偏离严格水平越多,重力加速度测量误差越大.针对此系统误差,提出了基于折合系数的误差修正方案.不同水平状态和斜面倾角的多组实验结果表明,该修正方案呈现良好的可靠性和普适性,在不同测量条件下,均能有效降低重力加速度的测量误差.本研究为提升斜面法测量重力加速度的精确度提供了新思路和有效方案.


关键词: 斜面法, 重力加速度, 轨道水平状态, 误差修正

Abstract: The inclined plane method is a commonly used approach for measuring gravitational acceleration, and the initial horizontal state of the track significantly affects measurement errors. This paper introduces two acceleration conversion coefficients to intuitively quantify the initial horizontal state of the track. When the coefficients are 0.5, the track is in a strictly horizontal state. The greater the deviation from 0.5, the larger the horizontal deviation of the track. The study reveals that the greater the deviation of the track from perfect horizontality, the larger the measurement error of gravitational acceleration. To address this systematic error, a correction scheme based on conversion coefficients was proposed. The experimental results under different horizontal states and inclined plane angles demonstrate that this strategy exhibits good reliability and universality. Under various measurement conditions, it can effectively reduce the measurement errors of gravitational acceleration. This research provides new insights and an effective solution for improving the accuracy of gravitational acceleration measurement using the inclined plane method.


Key words:  the inclined plane method, gravitational acceleration, the horizontal state of the track, error correction