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Sports Engineering

, 22:5 | Cite as

Effect of topspin on the apparent speed of a tennis court

  • Rod CrossEmail author
Original Article

Abstract

Experimental results are presented concerning the impact of a tennis ball incident obliquely with topspin on a rigid, horizontal surface. The ball was launched at speeds between 12 and 17 m/s onto P800 emery paper attached to a heavy block of granite. The angle of incidence to the surface was varied from \(14^{\circ }\) to \(65^{\circ }\) and the spin of the ball was varied from 0 to 360 rad/s to examine the effects on the horizontal rebound speed. The ratio of the rebound to the incident horizontal speed increased from 0.5 to 0.95 as the incident spin was increased. The classification or perception of a tennis court as being fast or slow is therefore of limited value, given that most players strike the ball with topspin.

Notes

References

  1. 1.
    Garwin R (1969) Kinematics of an ultraelastic rough ball. Am J Phys 37:88–89CrossRefGoogle Scholar
  2. 2.
    Maw N, Barber JR, Fawcett JN (1976) The oblique impact of elastic spheres. Wear 38:101–114CrossRefGoogle Scholar
  3. 3.
    Maw N, Barber JR, Fawcett JN (1981) The role of elastic tangential compliance in oblique impact. Jnl Lubr Technol 103:74–80Google Scholar
  4. 4.
    Brody H (1984) That’s how the ball bounces. Phys Teach 22:494–497CrossRefGoogle Scholar
  5. 5.
    Hubbard M, Stronge WJ (2001) Bounce of hollow balls on flat surfaces. Sports Eng 4:49–61CrossRefGoogle Scholar
  6. 6.
    Cross R (2002) Grip-slip behavior of a bouncing ball. Am J Phys 70(11):1094–1102CrossRefGoogle Scholar
  7. 7.
    Cross R (2002) Measurements of the horizontal coefficient of restitution for a superball and a tennis ball. Am J Phys 70(5):482–489CrossRefGoogle Scholar
  8. 8.
    Cross R (2003) Measurements of the horizontal and vertical speeds of tennis courts. Sports Eng 6:93–109Google Scholar
  9. 9.
    Cross R (2005) Bounce of a spinning ball near normal incidence. Am J Phys 73:914–920CrossRefGoogle Scholar
  10. 10.
    Haake SJ, Carre MJ, Kirk R, Goodwill S (2005) Oblique impact of a thick-walled pressurized spheres as used in tennis. Proc Inst Mech Eng Part C J Mech Eng Sci 219:1179–1189CrossRefGoogle Scholar
  11. 11.
    Goodwill SR, Kirk R, Haake SJ (2005) Experimental and finite element analysis of a tennis ball impact on a rigid surface. Sports Eng 8:145–158CrossRefGoogle Scholar
  12. 12.
    Dong H, Moys MH (2006) Experimental study of oblique impacts with initial spin. Powder Technol 161:22–31CrossRefGoogle Scholar
  13. 13.
    Garland PP, Rogers RJ (2009) An experimental study of contact forces during oblique elastic impact. J Appl Mech 76:031015CrossRefGoogle Scholar
  14. 14.
    Allen T, Haake S, Goodwill S (2010) Effect of friction on tennis ball impacts. Proc Inst Mec Eng Part P J Sports Eng and Tech 224:229–236Google Scholar
  15. 15.
    Allen T, Ibbitson J, Haake S (2012) Spin generation during an oblique impact of a compliant ball on a non-compliant surface. Proc Inst Mec Eng Part P J Sports Eng and Tech 226:86–95Google Scholar
  16. 16.
    Cross R (2014) Oblique bounce of a rubber ball. Exp Mech 54:1523–1536CrossRefGoogle Scholar
  17. 17.
    Cross R (2019) Oblique impact of a spinning rubber ball. Eur J Phys 40:025002CrossRefGoogle Scholar
  18. 18.
    Goodwill S, Haake S, Spurr J, Capel-Davies J (2008) Development of a new system for measuring tennis court pace. In: Estivalet M, Brisson P (eds) The engineering of sport, vol 7. Springer, Paris, pp 649–657Google Scholar
  19. 19.
    Spurr J, Capel-Davies J, Miller S (2007) Player perception of surface pace rating in tennis. In: Miller S, Capel-Davies J (eds) Tennis science and technology, vol 3. International Tennis Federation, London, pp 73–88Google Scholar
  20. 20.
    Stepanek A (1987) The aerodynamics of tennis balls–the topspin lob. Am J Phys 56:138–142CrossRefGoogle Scholar
  21. 21.
    Lane B, Sherratt P, Xiao H, Harland A (2015) Characterisation of ball impact conditions in professional tennis: matches played on hard court. Proc Inst Mec Eng Part P J Sports Eng Technol 230:236–245Google Scholar
  22. 22.
    Goodwill S, Capel-Davies J, Haake S, Miller S (2007) Ball spin generation by elite players during match play. In: Miller S, Capel-Davies J (eds) Tennis science and technology, vol 3. International Tennis Federation, London, pp 349–356Google Scholar
  23. 23.
    Sakurai S, Reid M, Elliott B (2013) Ball spin in the tennis serve: spin rate and axis of rotation. Sports Biomech. 12(1):23–29CrossRefGoogle Scholar
  24. 24.
    Kwon S, Pfister R, Hager R, Hunter I, Seeley M (2017) Influence of tennis racquet kinematics on ball topspin angular velocity and accuracy during the forehand groundstroke. J Sports Sci Med 16:505–513Google Scholar

Copyright information

© International Sports Engineering Association 2019

Authors and Affiliations

  1. 1.Physics DepartmentUniversity of SydneySydneyAustralia

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