SUMMARY
The spring constant of the Achilles tendon can be calculated using the formula k = ΔF/Δx, where ΔF is the change in force and Δx is the change in length. In this case, the tendon stretches 0.51 cm (0.0051 m) under a force increase from 3400 N to 5800 N, resulting in a spring constant of k = (5800 N - 3400 N) / 0.0051 m, which equals approximately 470,588 N/m. Additionally, the work done by the muscle in stretching the tendon can be calculated using the work formula W = (1/2) * k * Δx², which requires the correct spring constant value for accurate results.
PREREQUISITES
- Understanding of Hooke's Law (Fx = -kx)
- Familiarity with basic physics concepts such as force and work
- Knowledge of unit conversions (e.g., cm to m)
- Ability to perform calculations involving linear relationships
NEXT STEPS
- Calculate the spring constant of other biological tendons using similar methods
- Explore the implications of tendon elasticity on athletic performance
- Learn about the biomechanics of muscle-tendon interactions
- Investigate advanced applications of Hooke's Law in engineering
USEFUL FOR
Students studying biomechanics, physiotherapists analyzing tendon properties, and sports scientists researching muscle performance and injury prevention.