European Journal of Applied Physiology

, Volume 94, Issue 1–2, pp 134–144 | Cite as

An energy balance of front crawl

  • P. ZamparoEmail author
  • D. R. Pendergast
  • J. Mollendorf
  • A. Termin
  • A. E. Minetti
Original Article


With the aim of computing a complete energy balance of front crawl, the energy cost per unit distance (C= Ėv−1, where Ė is the metabolic power and v is the speed) and the overall efficiency (ηo=Wtot/C, where Wtot is the mechanical work per unit distance) were calculated for subjects swimming with and without fins. In aquatic locomotion Wtot is given by the sum of: (1) Wint, the internal work, which was calculated from video analysis, (2) Wd, the work to overcome hydrodynamic resistance, which was calculated from measures of active drag, and (3) Wk, calculated from measures of Froude efficiency (ηF). In turn, ηF=Wd/(Wd+Wk) and was calculated by modelling the arm movement as that of a paddle wheel. When swimming at speeds from 1.0 to 1.4 m s−1, ηF is about 0.5, power to overcome water resistance (active body drag × v) and power to give water kinetic energy increase from 50 to 100 W, and internal mechanical power from 10 to 30 W. In the same range of speeds Ė increases from 600 to 1,200 W and C from 600 to 800 J m−1. The use of fins decreases total mechanical power and C by the same amount (10–15%) so that ηo (overall efficiency) is the same when swimming with or without fins [0.20 (0.03)]. The values of ηo are higher than previously reported for the front crawl, essentially because of the larger values of Wtot calculated in this study. This is so because the contribution of Wint to Wtot was taken into account, and because ηF was computed by also taking into account the contribution of the legs to forward propulsion.


Swimming Biomechanics Energetics Propelling efficiency Fins 



The technical assistance of Dean Marky, Frank Modlich and Chris Eisenhardt is gratefully acknowledged, as well as the patience and kind co-operation of the swimmers. This research has been partially supported by the US Navy, NAVSEA, Navy Experimental Unit, contract N61 33199C0028.


  1. Adrian MJ, Singh M, Karpovich PV (1966) Energy cost of leg kick, arm stroke and whole crawl stroke. J Appl Physiol 21:1763–1766Google Scholar
  2. Alexander RM (1983) Motion in fluids. In: Animal mechanics. Blackwell, Oxford, pp 183–233Google Scholar
  3. Bucher GW (1975) An analysis of arm propulsion in swimming. In: Lewillie L, Clarys JP (eds) Swimming II. University Park Press, London, pp 180–187Google Scholar
  4. Craig AB, Pendergast DR (1979) Relationship of stroke rate, distance per stroke and velocity in competitive swimming. Med Sci Sports Exerc 11:278–283Google Scholar
  5. Craig AB, Skehan PL, Pawelczyk JA, Boomer WL (1985) Velocity, stroke rate and distance per stroke during elite swimming competition. Med Sci Sports Exerc 17:625–634Google Scholar
  6. Daniel T, Jordan C, Grunbaum D (1992) Hydromechanics of swimming. In: Alexander RM (ed) Advances in comparative and environmental physiology 11, Mechanics of animal locomotion. Springer-Verlag, Berlin, pp 17–49Google Scholar
  7. Deschodt VJ, Arsac LM, Rouard AH (1999) Relative contribution of arms and legs in humans to propulsion in 25 m sprint front-crawl swimming. Eur J Appl Physiol 80:192–199CrossRefGoogle Scholar
  8. di Prampero PE, Pendergast DR, Wilson D, Rennie DW (1974) Energetics of swimming in man. J Appl Physiol 37:1–5Google Scholar
  9. di Prampero PE (1986) The energy cost of human locomotion on land and in water. Int J Sports Med 7:55–72PubMedGoogle Scholar
  10. Fox RW, McDonald AT (1992) Fluid machines. In: Introduction to fluid mechanics. John Wiley, New York, pp 544–625Google Scholar
  11. Hollander AP, De Groot G, Van Ingen Schenau GJ, Kahman R, Toussaint HM (1988) Contribution of the legs to propulsion in front crawl swimming. In: Ungherects BE, Wilke K, Reischle K (eds) Swimming science V. Human Kinetics, Champaign, Ill., pp 39–43Google Scholar
  12. Lighthill MJ (1975) Hydrodynamics of aquatic animal propulsion: In: Mathematical biofluidodynamics. Society for Industrial and Applied Mathematics, Philadelphia, pp 65–101Google Scholar
  13. Maglischo EW (2003) Swimming fastest. Human Kinetics, Champaign, Ill.Google Scholar
  14. Martin RB, Yeater RA, White MK (1981) A symple analytical model for the crawl stroke. J Biomech 14:539–548CrossRefGoogle Scholar
  15. Minetti AE (1998) A model equation for the prediction of mechanical internal work of terrestrial locomotion. J Biomech 31:463–468CrossRefPubMedGoogle Scholar
  16. Minetti AE, Pinkerton J, Zamparo P (2001) From bipedalism to bicyclism: evolution in energetics and biomechanics of historical bikes. Proc R Soc Lond B Biol Sci 268:1351–1360Google Scholar
  17. Payton CJ, Bartlett RM, Baltzopoulos V, Coombs R (1999) Upper extremity kinematics and body roll during preferred-side breathing and breath-holding front crawl swimming. J Sport Sci 17:689–696CrossRefGoogle Scholar
  18. Pendergast DR, Zamparo P, di Prampero PE, Capelli C, Cerretelli P, Termin A, Craig A Jr, Bushnell D, Paschke D, Mollendorf J (2003) Energy balance of human locomotion in water. Eur J Appl Physiol 90:377–386CrossRefGoogle Scholar
  19. Toussaint HM (1990) Differences in propelling efficiency between competitive and triathlon swimmers. Med Sci Sports Exerc 22:409–415PubMedGoogle Scholar
  20. Toussaint HM, Beek PJ (1992) Biomechanics of competitive front crawl swimming. Sports Med 13:8–24PubMedGoogle Scholar
  21. Toussaint HM, Knops W, De Groot G, Hollander AP (1990) The mechanical efficiency of front crawl swimming. Med Sci Sports Exerc 22:408–402Google Scholar
  22. Toussaint HM, Janssen T, Kluft M (1991) Effect of propelling surface size on the mechanics and energetics of front crawl swimming. J Biomech 24:205–211CrossRefPubMedGoogle Scholar
  23. Zamparo P, Pendergast DR, Termin A, Minetti AE (2002) how fins affect the economy and efficiency of swimming. J Exp Biol 205:2665–2676PubMedGoogle Scholar

Copyright information

© Springer-Verlag 2005

Authors and Affiliations

  • P. Zamparo
    • 1
    Email author
  • D. R. Pendergast
    • 2
  • J. Mollendorf
    • 3
  • A. Termin
    • 4
  • A. E. Minetti
    • 5
  1. 1.Dipartimento di Scienze e Tecnologie BiomedicheUniversità degli Studi di UdineUdineItaly
  2. 2.Department of PhysiologyUniversity at BuffaloBuffaloUSA
  3. 3.Department of Mechanical EngineeringUniversity at BuffaloBuffaloUSA
  4. 4.Department of AthleticsUniversity at BuffaloBuffaloUSA
  5. 5.Institute of Biophysical and Clinical Research into Human MovementManchester Metropolitan UniversityAlsagerUK

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