大学物理 ›› 2022, Vol. 41 ›› Issue (4): 52-.doi: 10.16854 /j.cnki.1000-0712.210248

• 大学生园地 • 上一篇    下一篇

Magnus力对球类空中运动的影响

黄明煊,陆爱江   

  1. 1. 东华大学 物理1801班,上海201620;2. 东华大学 应用物理系,上海201620
  • 收稿日期:2021-05-20 修回日期:2021-08-18 出版日期:2022-04-20 发布日期:2022-04-21
  • 通讯作者: 陆爱江,E-mail:ajlu@dhu.edu.cn
  • 作者简介:黄明煊(2000—),女,东华大学理学院应用物理系2018级本科生.
  • 基金资助:
    国家自然科学基金(11474131)资助

Influence of Magnus force on the trajectory of balls

HUANG Ming-xuan1,LU Ai-jiang2   

  1. 1. Class Physics1802,Science College of Donghua University,Shanghai 201620,China;
    2. Science College of Donghua University,Shanghai 201620,China
  • Received:2021-05-20 Revised:2021-08-18 Online:2022-04-20 Published:2022-04-21

摘要: Magnus效应描述了黏性流体中物体的旋转造成的附近区域流体流速不同,在与旋转角速度矢量和平动速度矢量组成的平面相垂直方向上产生一个横向Magnus力的现象.Magnus力是影响球体运动轨迹很重要的因素,在球类运动中往往是形成各种“曲线球”的原因.本文以足球和乒乓球为例,分析其受力情况,数值求解其运动方程,比较了不同角速度ω下球的运动轨迹和运动特征,系统研究了不同方向角速度ω产生的Magnus力对球体运动轨迹的影响,并据此分析了足球和乒乓球运动中几种技术动作的物理原理.

关键词: Magnus效应, Magnus力, 曲线球

Abstract: Magnus effect describes that,the difference of fluid velocity in the vicinity caused by the rotation of objects in viscous fluid,leads to a transverse Magnus force.It is in the vertical direction of plane composed of angular velocity vector and translational velocity vector.Magnus force is an important factor to influence the trajectory of projectile,and it is often the reason for forming various “curve ball” in ball games.Taking football and table tennis as examples,this paper analyzes their forces,numerically solves their motion equations,compares the trajectory and motion characteristics of small balls under different angular velocities.It systematically studies the influence of Magnus force produced by different angular velocities on the trajectory of small balls,and analyzes the physical principles of several skilled movements in football and table tennis.

Key words: Magnus effect, Magnus force, curve ball