力学与实践 ›› 2019, Vol. 41 ›› Issue (3): 345-348.DOI: 10.6052/1000-0879-18-424

• 教育研究 • 上一篇    下一篇

落体法测刚体转动惯量的误差分析 1)

高峰2), 郭长立, 白冰   

  1. 西安科技大学应用物理系,西安710054
  • 收稿日期:2018-10-24 出版日期:2019-06-20 发布日期:2019-06-27
  • 通讯作者: 2)高峰,工程师,从事大学物理实验教学与管理工作。E-mail:fengg@xust.edu.cn
  • 基金资助:
    1)西安科技大学校培育基金资助项目(201707)

THE ERROR ANALYSIS IN MEASUREMENT OF RIGID BODY INERTIA BY THE FALLING BODY METHOD1)

GAO Feng2), GUO Changli, BAI Bing   

  1. Department of Applied Physics , Xi’an University of Science and Technology, Xi’an 710054, China
  • Received:2018-10-24 Online:2019-06-20 Published:2019-06-27

摘要: 为了分析刚体转动惯量实验测定中摩擦力矩变化对测量结果的影响,本文对采用落体法测角加速度方法进行了实测检验。结果表明,摩擦力矩随载物系统转速增大而显著增加,系统空载测量时,减速过程角加速度对应平均转速远大于加速过程平均转速,如果不进行修正,则导致计算结果偏低。而相同质量砝码拉动系统负载测量时,加速过程和减速过程对应平均转速相对接近,测量值主要受测量随机误差影响。上述结果有利于进一步开展转轴摩擦力矩随转速变化系统性的研究。

关键词: 转动惯量, 摩擦力矩, 角加速度, 相对误差

Abstract: In order to analyze the influence of the friction torque change on the measurement of rigid body inertia, the falling body method is used in the experimental analysis. It is indicated that the friction torque increases significantly with the increase of the system rotation speed, if the average rotation speed of the system in the deceleration process is much higher than that in the acceleration process, and if no correction is made, the calculation results are usually relatively small. At the same time, it is pointed out that the average rotation speed in the acceleration process and the deceleration process are relatively close to each other, the measuring value is mainly affected by the random error. The above results are helpful to further study the friction torque variations against the rotational speed.

Key words: rotational inertia, friction torque, angular acceleration, the relative error

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