Abstract
Purpose
We sought to compare force–velocity relationships developed from unloaded sprinting acceleration to that compiled from multiple sled-resisted sprints.
Methods
Twenty-seven mixed-code athletes performed six to seven maximal sprints, unloaded and towing a sled (20–120% of body-mass), while measured using a sports radar. Two methods were used to draw force–velocity relationships for each athlete: A multiple trial method compiling kinetic data using pre-determined friction coefficients and aerodynamic drag at maximum velocity from each sprint; and a validated single trial method plotting external force due to acceleration and aerodynamic drag and velocity throughout an acceleration phase of an unloaded sprint (only). Maximal theoretical force, velocity and power were determined from each force–velocity relationship and compared using regression analysis and absolute bias (± 90% confidence intervals), Pearson correlations and typical error of the estimate (TEE).
Results
The average bias between the methods was between − 6.4 and − 0.4%. Power and maximal force showed strong correlations (r = 0.71 to 0.86), but large error (TEE = 0.53 to 0.71). Theoretical maximal velocity was nearly identical between the methods (r = 0.99), with little bias (− 0.04 to 0.00 m s−1) and error (TEE = 0.12).
Conclusions
When horizontal force or power output is considered for a given speed, resisted sprinting is similar to its associated phase during an unloaded sprint acceleration [e.g. first steps (~ 3 m s−1) = heavy resistance]. Error associated with increasing loading could be resultant of error, fatigue, or technique, and more research is needed. This research provides a basis for simplified assessment of optimal loading from a single unloaded sprint.
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Abbreviations
- α :
-
Acceleration
- BM:
-
Body mass
- ES:
-
Cohen’s effect size
- F :
-
Horizontal force
- F aero :
-
Aerodynamic friction force
- F f :
-
Friction force
- F n :
-
Normal force
- F opt :
-
Optimal horizontal force
- F peak :
-
Horizontal force at maximum velocity
- Fv:
-
Horizontal force–velocity relationship
- F 0 :
-
Maximum theoretical horizontal force
- h t :
-
Attachment height of tether to athlete
- L opt :
-
Optimal external normal loading
- m :
-
System mass
- P :
-
Horizontal power
- P max :
-
Maximum horizontal power
- Pv:
-
Horizontal power–velocity relationship
- S Fv :
-
Slope of the linear Fv relationship
- TEE:
-
Typical error of estimate
- v :
-
Horizontal velocity
- v max :
-
Maximum horizontal velocity
- v opt :
-
Optimal horizontal velocity
- v 0 :
-
Maximum theoretical horizontal velocity
- θ :
-
Angle of pull
- μ k :
-
Coefficient of friction
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Acknowledgements
The authors wish to thank Simon Rogers, Dr Michael McGuigan and Dr Matt Brughelli for their feedback during the development of this manuscript. Matt R. Cross is supported by the New Zealand-France Friendship Fund Excellence scholarship.
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MRC, JBM and PS conceived and designed research. MRC and SRB piloted, and conducted the experiments. MRC performed the analysis and statistical procedures. MRC wrote the manuscript, and all parties read, contributed to review, and gave final approval of the manuscript.
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Communicated by Jean-René Lacour.
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Cross, M.R., Samozino, P., Brown, S.R. et al. A comparison between the force–velocity relationships of unloaded and sled-resisted sprinting: single vs. multiple trial methods. Eur J Appl Physiol 118, 563–571 (2018). https://doi.org/10.1007/s00421-017-3796-5
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DOI: https://doi.org/10.1007/s00421-017-3796-5