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Measurements of the Flight Trajectory of a Spinning Soccer Ball and the Magnus Force Acting on It

机译:旋转足球的飞行轨迹的测量和作用于其上的马格努力

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The trajectory of a soccer ball, kicked with a spin to curve it into the goal, is strongly influenced by aerodynamic factors such as the Magnus force. Several studies using a wind-tunnel and high-speed cameras have investigated the Magnus force acting on a spinning soccer ball. However, the exact effect of the Magnus force on the trajectory of a spinning soccer ball in free flight remains unclear. This study set out to use an optical three-dimensional motion-capture system to record the details of the flight of such a spinning soccer ball. The maximum curvature of the ball’s trajectory occurred in the middle of its flight. The sideways-directed Magnus force acting on the ball decreased as the ball’s speed decreased during the entire flight. Thus, it was concluded that the deflection of the trajectory of the ball decreases as the sideways-acting force decreases throughout the flight.
机译:足球的轨迹踢到旋转以将其曲线弯曲成目标,受到气动因素的强烈影响,如马格多斯力量。使用风洞和高速相机的几项研究已经调查了在旋转足球上作用的马格努力。然而,马格努力对自由飞行中旋转足球轨迹轨迹的确切效果尚不清楚。本研究开始使用光学三维运动捕获系统来记录这种旋转足球飞行的细节。球的最大曲率和rsquo; s轨迹发生在其飞行中。作用在球上的侧向导向的马力力随着球和rsquo而减少了整个飞行期间的速度。因此,得出结论是,随着侧向作用力在整个飞行中降低,球的轨迹的偏转减小。

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