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Updated: Apr 15, 2026

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Published on: October 3, 2025
Force-velocity Relationship of Muscles Performing Multi-joint Maximum Performance Tasks
1Department of Kinesiology and Applied Physiology & Biomechanics and Movement Science Graduate Program, University of Delaware, Newark, United States.
The force-velocity relationship in multi-joint movements is often linear, simplifying muscle mechanical modeling. This linear model offers practical applications for assessing neuromuscular system capacity.
Area of Science:
- Biomechanics
- Human Physiology
- Sports Science
Background:
- Muscle mechanical characteristics are typically modeled using force, velocity, and power data from external load manipulation.
- The force-velocity relationship in isolated muscle groups is commonly described by a hyperbolic equation.
Purpose of the Study:
- To review evidence on the nature of the force-velocity relationship in maximum-performance multi-joint movements.
- To explore the implications of this relationship for modeling the human muscular system and its practical applications.
Main Methods:
- Review of existing scientific literature on force-velocity relationships in human movement.
- Analysis of data from studies involving maximum-performance multi-joint tasks.
Main Results:
- The force-velocity relationship in multi-joint movements is approximately linear, unlike the hyperbolic relationship in isolated muscles.
- This linearity simplifies the power-velocity relationship, making it parabolic.
- Parameters derived from the linear model (maximum force, velocity, power) are reliable and sensitive for differentiating physical abilities.
Conclusions:
- A linear force-velocity relationship and parabolic power-velocity relationship offer a simplified approach to studying and modeling the human muscular system.
- Loaded multi-joint movements can serve as routine tests for evaluating neuromuscular force-, velocity-, and power-generating capacity.
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