| 考虑空气阻力时铅球最佳投掷角的参数方程和实用方程 |
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| 引用本文： | 蔡志东,陆建隆. 考虑空气阻力时铅球最佳投掷角的参数方程和实用方程[J]. 大学物理, 2006, 25(10): 16-22 |
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| 作者姓名： | 蔡志东 陆建隆 |
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| 作者单位： | 1. 镇江高等专科学校(丹阳校区)教师教育系,江苏,丹阳,212300
2. 南京师范大学,物理科学与技术学院,江苏,南京,210097 |
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| 摘 要： | 指出了一些文章在讨论有空气阻力作用时关于球类运动的微分方程中存在的问题,得出了空气阻力与速度平方成正比时的微分方程及近似解,计算了最佳投掷角的参数方程,还导出了空气阻力与速度成正比时铅球最佳投掷角的实用方程.
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| 关 键 词： | 变系数微分方程组 近似解 参数方程 最佳投掷角 实用方程 |
| 文章编号： | 1000-0712（2006）10-0016-07 |
| 收稿时间： | 2005-09-30 |
| 修稿时间： | 2006-04-13 |
Parameter equation and practical equation of optimum putting angle of a shot in considering air resistance |
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| CAI Zhi-dong,LU Jian-long. Parameter equation and practical equation of optimum putting angle of a shot in considering air resistance[J]. College Physics, 2006, 25(10): 16-22 |
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| Authors: | CAI Zhi-dong LU Jian-long |
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| Affiliation: | 1. Department of Teacher Education, Danyang School District of Zhenjiang College 2. College of Physical Science and Technology, Nanjing Normal University, Danyang,Jiangsu 212300, China Nanjing 210097, China |
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| Abstract: | The serious errors of differential equation about ball games considering air resistance in some magazines are pointed out;right differential equation on condition that the air resistance is directly proportional to square of velocity and its approximate solution and the parameter equation computing the optimum putting angle of a shot are given.Meanwhile the practical equation of optimum putting angle of a shot on condition that the air resistance is directly proportional to velocity are also deduced. |
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| Keywords: | changeable coefficient differential equation group approximate solution parameter equation optimum putting angle practical equation |
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