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Flight trajectories of the spinning and non-spinning table tennis balls.

Flight trajectories of the spinning and non-spinning table tennis balls.

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When a table tennis ball is hit by a racket, the ball spins and undergoes a complex trajectory in the air. In this article, a model of a spinning ball is proposed for simulating and predicting the ball flight trajectory including the topspin, backspin, rightward spin, leftward spin, and combined spin. The actual trajectory and rotational motion of...

Contexts in source publication

Context 1
... a ball is hit by a racket, it flies through the air and it may curve due to unbalanced air friction. Thus, the flight trajectory of a ball may be difficult to predict due to its complex movement 1 as shown in Figure 1. However, such a complex maneuver is extremely hard to observe by the naked eye during the games because of the ball's small size, fast flying speed, and long dis- tance from the spectators. ...
Context 2
... spinning trajectories of point P of all three spinning balls were obtained by the spinning and translation transformations, and the results are shown in Figure 10. ...
Context 3
... these steps until the entire flight path of the ball was calculated. The simulated and reconstructed flight trajectories of the table tennis ball are presented in Figure 11, wherein the magenta dotted line (the actual trajectory) denotes the flight trajectory of the backspin obtained by the method presented in this article and the magenta solid line (the simulated trajectory 1) denotes the flight trajec- tory of the backspin obtained by the kinetics model presented in this article. The deviation from the actual trajectory was 8:69%, which represents a relatively poor prediction result. ...
Context 4
... deviation from the actual trajectory was 8:69%, which represents a relatively poor prediction result. By adjusting the relevant para- meter Dt, a better simulated trajectory was obtained, which is shown as the black solid line (the simulated trajectory 2) in Figure 11. The simulated trajectory 2 was relatively close to the actual trajectory with a trajectory deviation of 2:42%, which showed that the method presented in this article could closely approxi- mate the actual trajectory of a table tennis ball more accurately. ...

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Article
Background: An optimal stroke is essential for winning table tennis competition. The main purpose of this study was to examine the correlations between the stroke characteristics and the stroke effect. Methods: Forty-two young table tennis players were randomly selected from China Table Tennis College (M age= 14.21; M height= 1.57m; M weight= 46.05 kg, right-hand racket, shake-hands grip, no injuries in each joint of the body). The high-speed infrared motion capture system was used to collect the data of stroke characteristics, and the high-speed camera was used to measure the spin speed of the stroke. The influence of stroke characteristics on stroke effect was analyzed. Results: The time duration of backswing and forward motion were significantly correlated with ball speed (r=-0.403, P<0.01; r=-0.390, P<0.01, respectively) and spin speed (r=-0.244, P=0.027; r=-0.369, P<0.01, respectively). The ball speed was positively correlated with the linear velocity of right wrist joint (r=0.298, P<0.01), and the angular velocity of right elbow joint (r=0.219, P=0.013), right hip joint (r=0.427, P<0.01) and right ankle joint (r=0.443, P<0.01). The spin speed was positively correlated with the linear velocity of right wrist joint (r=0.238, P=0.031), and the angular velocity of right elbow joint (r=0.172, P=0.048) and right hip joint (r=0.277, P=0.012). The placement had a negative correlation with the angular velocity of right knee joint (r=-0.246, P=0.026). Conclusions: The time allocation of the three phases of backspin forehand stroke had an important correlation with stroke effect, especially the ball speed and spin speed. The movement of the right wrist joint and right ankle joint were mainly correlated with the ball speed of the stroke. The spin speed of the stroke was mainly correlated with the movement of the right wrist joint. The placement of the stroke was mainly correlated with the rotation of the right knee joint.