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The paper presents the mathematical analysis for the design of a new tennis ball launcher in order to assess the possibilities for its technical implementation. First, traditional launchers are described. Next, several new requirements improving training possibilities of such machines are suggested. The motion equation of the flying tennis ball is formulated and numerically solved. This makes it possible to analyze the trajectories of the ball for different initial conditions: elevation and heading angles, as well as the rollers angle. Then, the mathematical analysis of the launcher with two counter rotating rollers is presented. Stiffness (Young's) modulus and friction coefficients for the typical tennis ball have been determined ex-perimentally. Based on these, initial conditions for the throw have been found: rotating speeds of the rollers and powers of the driving motors.
Czasopismo
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Tom
Strony
110--119
Opis fizyczny
Bibliogr. 9 poz., Wykr..
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autor
autor
- Bialystok University of Technology, Faculty of Mechanical Engineering, Bialystok, Poland, z.kulesza@pb.edu.pl
Bibliografia
- 1. Alam F., Tio W., Watkins S., Subic A., Naser J. (2007), Effects of Spin on Tennis Ball Aerodynamics: An Experimental and Computational Study, 16th Australasian Fluid Mechanics Conference, 2-7 December 2007, Crown Plaza, Gold Coast, Australia.
- 2. Goodwill S. R., Chin S.B., Haake S.J . (2004), Aerodynamics of spinning and non-spinning tennis balls, Journal of Wind Engineering and Industrial Aerodynamics, 92, 935-958.
- 3. Mehta R. D. (1985), Aerodynamics of sports balls, Annual Reviews of Fluid Mechanics, 1, 151-189.
- 4. Mehta R. D., Pallis J. M. (2001), Sports ball aerodynamics: effects of velocity, spin and surface roughness, In: Materials and Science In Sports, Edited by Sam F.H. Froes and Haake S.J., Warrendale, 184 Thorn Hill Road, 185-197.
- 5. Naumov V. A., Solomenko A. D., Yatsenko V. P. (1993), Influence of the Magnus force on the motion of the spherical solid with a large angular velocity, Journal of Engineering Physics and Thermoplastic, 65, No. 3, 852-855.
- 6. Prosnak W. J. (1970), Mechanika płynów, Tom 1: Statyka płynów i dynamika cieczy, PWN, Warszawa.
- 7. Romer A. (2005), Tenis, Wiedza i Życie Wydawnictwo, Warszawa.
- 8. Sayers A. T., Hill A. (1999), Aerodynamics of a cricket Ball, Journal of Wind Engineering and Industrial Aerodynamics, 79, pp. 169-182.
- 9. Wusatowski Z. (1960), Podstawy walcowania, Wydawnictwo Górniczo-Hutnicze, Katowice.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB2-0062-0016