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

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 ef...

Full description

Bibliographic Details
Main Authors: Takeshi Asai, Kaoru Kimachi, Richong Liu, Masaaki Koido, Masao Nakayama, John Eric Goff, Sungchan Hong
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Proceedings
Subjects:
Online Access:https://www.mdpi.com/2504-3900/49/1/88
_version_ 1797565370437992448
author Takeshi Asai
Kaoru Kimachi
Richong Liu
Masaaki Koido
Masao Nakayama
John Eric Goff
Sungchan Hong
author_facet Takeshi Asai
Kaoru Kimachi
Richong Liu
Masaaki Koido
Masao Nakayama
John Eric Goff
Sungchan Hong
author_sort Takeshi Asai
collection DOAJ
description 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.
first_indexed 2024-03-10T19:11:11Z
format Article
id doaj.art-7fb6c9ea6a0449d7a9671386d90058bc
institution Directory Open Access Journal
issn 2504-3900
language English
last_indexed 2024-03-10T19:11:11Z
publishDate 2020-06-01
publisher MDPI AG
record_format Article
series Proceedings
spelling doaj.art-7fb6c9ea6a0449d7a9671386d90058bc2023-11-20T03:48:19ZengMDPI AGProceedings2504-39002020-06-014918810.3390/proceedings2020049088Measurements of the Flight Trajectory of a Spinning Soccer Ball and the Magnus Force Acting on ItTakeshi Asai0Kaoru Kimachi1Richong Liu2Masaaki Koido3Masao Nakayama4John Eric Goff5Sungchan Hong6Faculty of Health and Sports Sciences, University of Tsukuba, Tsukuba City, Ibaraki 305-8574, JapanDoctoral Program of Coaching Science, University of Tsukuba, Tsukuba City, Ibaraki 305-8574, JapanGraduate school of Coaching Science, University of Tsukuba, Tsukuba City, Ibaraki 305-8574, JapanFaculty of Health and Sports Sciences, University of Tsukuba, Tsukuba City, Ibaraki 305-8574, JapanFaculty of Health and Sports Sciences, University of Tsukuba, Tsukuba City, Ibaraki 305-8574, JapanDepartment of Physics, University of Lynchburg, 1501 Lakeside Drive, Lynchburg, VA 24501-3113, USAFaculty of Health and Sports Sciences, University of Tsukuba, Tsukuba City, Ibaraki 305-8574, JapanThe 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.https://www.mdpi.com/2504-3900/49/1/88soccerballtrajectoryspinMagnus force
spellingShingle Takeshi Asai
Kaoru Kimachi
Richong Liu
Masaaki Koido
Masao Nakayama
John Eric Goff
Sungchan Hong
Measurements of the Flight Trajectory of a Spinning Soccer Ball and the Magnus Force Acting on It
Proceedings
soccer
ball
trajectory
spin
Magnus force
title Measurements of the Flight Trajectory of a Spinning Soccer Ball and the Magnus Force Acting on It
title_full Measurements of the Flight Trajectory of a Spinning Soccer Ball and the Magnus Force Acting on It
title_fullStr Measurements of the Flight Trajectory of a Spinning Soccer Ball and the Magnus Force Acting on It
title_full_unstemmed Measurements of the Flight Trajectory of a Spinning Soccer Ball and the Magnus Force Acting on It
title_short Measurements of the Flight Trajectory of a Spinning Soccer Ball and the Magnus Force Acting on It
title_sort measurements of the flight trajectory of a spinning soccer ball and the magnus force acting on it
topic soccer
ball
trajectory
spin
Magnus force
url https://www.mdpi.com/2504-3900/49/1/88
work_keys_str_mv AT takeshiasai measurementsoftheflighttrajectoryofaspinningsoccerballandthemagnusforceactingonit
AT kaorukimachi measurementsoftheflighttrajectoryofaspinningsoccerballandthemagnusforceactingonit
AT richongliu measurementsoftheflighttrajectoryofaspinningsoccerballandthemagnusforceactingonit
AT masaakikoido measurementsoftheflighttrajectoryofaspinningsoccerballandthemagnusforceactingonit
AT masaonakayama measurementsoftheflighttrajectoryofaspinningsoccerballandthemagnusforceactingonit
AT johnericgoff measurementsoftheflighttrajectoryofaspinningsoccerballandthemagnusforceactingonit
AT sungchanhong measurementsoftheflighttrajectoryofaspinningsoccerballandthemagnusforceactingonit