单摆法测量重力加速度实验方法的改进与实现
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作者单位:

湖北民族大学 智能科学与工程学院

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中图分类号:

O433

基金项目:

湖北民族大学校内青年科研基金项目(MY2018Q020).


Improved design of single-pendulum experimental apparatus for measuring gravitational acceleration
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Affiliation:

College of Intelligent Systems Science and Engineering,Hubei Minzu University,Enshi

Fund Project:

Youth Scientific Research Fund Project of Hubei Minzu University

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    摘要:

    为了减小单摆法测量重力加速度的系统误差和随机误差,本文对传统单摆实验装置的结构进行改进设计,结合单片机进行自动控制和数据处理,最终实现了重力加速度的自动化准确测量。采用双线摆代替单摆结构,借助“V”型摆的稳定性来规避摆球做圆锥摆运动产生的系统误差,并创新性地提出利用夹板固定双线,以确保两根摆线的长度和张开角度固定不变。与此同时,通过单片机和电磁铁控制摆球在指定位置释放,以减小传统单摆实验装置中手动释放小球带来的误差。实验结果表明,改进后的实验装置可有效提高重力加速度的测量精度。

    Abstract:

    With expect to reduce the systematic error and random error of gravity acceleration measurement by single-pendulum method, the structure of traditional single-pendulum experimental apparatus is improved in this paper. Combined with the automatic control and data processing of single-chip microcomputer, the automatic and accurate measurement of gravity acceleration is finally realized. The double-pendulum is applied to replace the single-pendulum structure, and the systematic error caused by the conical pendulum movement of the pendulum ball can be avoided benefiting from the stability of the "V" pendulum. Notably, we innovatively propose to use a splint to fix the double line, so as to ensure that the length of the two cycloids and the opening angle between them are fixed. In addition, the single-chip and electromagnet are used to control the release of the pendulum ball at the specified position, so as to reduce the error caused by the manual release of the ball in the traditional single-pendulum experimental apparatus. The results suggest that the improved experimental apparatus can effectively improve the measurement accuracy of gravity acceleration.

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  • 收稿日期:2022-08-09
  • 最后修改日期:2022-08-09
  • 录用日期:2022-09-26
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