高教学刊Issue(6):263-264,2.
用数学方法研究乒乓球上旋球的飞行轨迹
摘要
Abstract
Dynamical model is established via force analysis of table tennis and then mathematical model is es-tablished employing mathematical software Matlab in drawing, in order to reveal the influences of rotation speed on the flight path of tennis. Topspin tennis is a tennis technique most commonly used in the attack technology. Table Tennis is basically affected by four forces in the process of the flight, including gravity, drag, buoyancy and Magnus force. Flight path of topspin tennis is drawn and analyzed through the stress analysis and dynamical equation by using Matlab. The important relationship between the rotation rate of table tennis and table tennis ball flight trajec-tory is revealed through the comparative analysis: The stronger the rotation of topspin is, the more obvious in the degree of arc crook, the closer the first bounce point is, and the lower the vertical height of flight. It is founded that the reason of the above phenomenon lies in the different speed of rotation and magnus force corresponding to the different speed of rotation.关键词
上旋球/旋转速率/马格努斯力Key words
topspin/rotating speed/magnus分类
数理科学引用本文复制引用
薛社教..用数学方法研究乒乓球上旋球的飞行轨迹[J].高教学刊,2016,(6):263-264,2.基金项目
校内支持项目1.卓越教师数学教学技能培养的长效机制研究(JG201551)2.数学课程多媒体教学实践的现实性问题研究(2015JYKX017)。 (JG201551)