Skip to main content
Log in

Measurements of drag and lift on tennis balls in flight

  • Original Article
  • Published:
Sports Engineering Aims and scope Submit manuscript

Abstract

Measurements are presented of drag and lift on new tennis balls in flight. Two video cameras were used to measure the velocity and height of the balls at two positions separated horizontally by 6.4 m. The balls were fired from a ball launcher at speeds between 15 and 30 m/s and with topspin or backspin at rates up to 2,500 rpm. Significant shot-to-shot variations were found in both the drag and lift coefficients. The average drag coefficient was 0.507 ± 0.024, independent of ball speed or spin, and lower than the value usually observed in wind tunnel experiments. The lift coefficient increased with ball spin, on average, but significant lift was observed even at very low spin. The latter effect can be attributed to a side force arising from asymmetries in the ball surface, analogous to the side force responsible for the erratic path of a knuckleball in baseball.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  1. Stepanek A (1988) The aerodynamics of tennis balls—the topspin lob. Am J Phys 56(2):138–142

    Article  Google Scholar 

  2. Chadwick S, Haake S (2000) The drag coefficient of tennis balls. In: Subic A, Haake S (eds) Engineering of sport, research, development and innovation: Proceedings of the 3rd international conference on the engineering of sport; Sydney, Australia. Blackwell Science, Oxford, pp 169–176

  3. Mehta R, Pallis J (2001) The aerodynamics of a tennis ball. Sports Eng 4(4):1–13

    Google Scholar 

  4. Sayers A (2003) Aerodynamics of a tennis ball—stationary and spinning. In: Miller S (ed) Tennis Science and Technology 2, International Tennis Federation, pp 123–132

  5. Alam F, Subic A, Watkins S (2003) An experimental study on the aerodynamic drag of a series of tennis balls. In: Proceedings of the sports dynamics-discovery and application: the International Congress on Sports Dynamics, Melbourne, 1–3 Sept 2003, p 22

  6. Alam F, Watkins S, Subic A (2004) Effects of spin on aerodynamic properties of tennis balls. In: Proceedings of the ISEA 5th International Conference on Sports Engineering, Davis, 13–16 Sept 2004

  7. Goodwill S, Chin S, Haake S (2004) Aerodynamics of spinning and non-spinning tennis balls. J Wind Eng Ind Aerodyn 92:935–958

    Article  Google Scholar 

  8. Goodwill S, Haake S (2004) Aerodynamics of tennis balls—effect of wear. In: Hubbard M, Mehta RD, Pallis JM (eds) The engineering of sport 5: Proceedings of the 5th International Sports Engineering Association Conference. Springer: Hoboken, pp 35–41

    Google Scholar 

  9. Djamovski V, Pateras J, Chowdhury H, Alam F, Steiner T (2012) Effects of seam and surface texture on tennis balls aerodynamics. Procedia Eng 34:140–145

    Article  Google Scholar 

  10. Cooke AJ (2000) An overview of tennis ball aerodynamics. Sports Eng 3(2):123–129

    Article  Google Scholar 

  11. Mehta R, Alam F, Subic A (2008) Review of tennis ball aerodynamics. Sports Technol 1:7–16

    Article  Google Scholar 

  12. Zayas J (1986) Experimental determination of the coefficient of drag of a tennis ball. Am J Phys 54(7):622–625

    Article  Google Scholar 

  13. Nathan A (2008) The effect of spin on the flight of a baseball. Am J Phys 76(2):119–124

    Article  Google Scholar 

  14. Goff J, Carre M (2009) Trajectory analysis of a soccer ball. Am J Phys 77(11):1020–1027

    Article  Google Scholar 

  15. Cross R (2012) Aerodynamics in the classroom and at the ball park. Am J Phys 80(4):289–297

    Article  Google Scholar 

  16. Lieberman B, Smits A, Quintavalla S, Thomas F, Winfield D (2001) Method for determining coefficients of lift and drag of a golf ball. US Patent Number 6,186,002.

  17. Kensrud J, Smith L (2010) In situ drag measurements of sports balls. Procedia Eng 2:2437–2442

    Article  Google Scholar 

  18. Kensrud J, Smith L (2011) In situ lift measurement of sports balls. Procedia Eng 13:278–283

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Rod Cross.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cross, R., Lindsey, C. Measurements of drag and lift on tennis balls in flight. Sports Eng 17, 89–96 (2014). https://doi.org/10.1007/s12283-013-0144-9

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12283-013-0144-9

Keywords

Navigation