投掷运动中的最佳抛射角的讨论

• 作 者: 廖红 杨丽芝 索瑾 刘树青 赵永刚
• 机 构: 太原工业大学,太原十五中学,
• 出 处: 山西体育科技
• 发表日期: 1996年04期
• 关键词: 射角 抛体运动 微分方程组 铅球运动员 出手速度 初速度 出手角度 生物运动 体育科技 最小速度

本方通过抛体运动方程组,导出射程与抛射角和出手高度之间的关系式,优化后,得出最佳抛射角表达式,在进一步增加了空气阻力的计算项之后,给出通用的抛体运动微分方程组。该方程组适用铅球运动。对铁饼的抛射角还必须再考虑空气的升力表达项。本文也给出铁饼的抛体微分方程组。根据上述方程组得出在不同抛射角初速度、出手高度等参数与射程之间的结果。

Based on the equation of projectile motion, this equation derives the relation between the range and the angle of projectile and the shot height. After optimizing, the formula of the best projectile angle is obtained. After the calculation term of air resistance is further increased, Projectile motion differential equations. The equation is suitable for shot put. The throwing angle to the discus must also be reconsidered for the lift expression of air. This paper also gives the thruster differential equations of discus. According to the above equations, we obtain the results between the initial velocity and shot height of different projectile angles and the range.