SUMMARY
The Young's modulus of a nylon rope used for climbing can be calculated using the formula E = (F * L) / (A * ΔL), where F is the force applied, L is the original length, A is the cross-sectional area, and ΔL is the elongation. For a nylon rope that is 41m long, with a diameter of 0.4 cm, supporting a 97kg climber, the calculated Young's modulus is approximately 82.46 x 108 Pa. This value is derived from the force exerted by the climber, which is 950.6 N (97 kg * 9.8 m/s2), and the rope's cross-sectional area of 0.0001256 m2.
PREREQUISITES
- Understanding of Young's modulus and its significance in material science
- Basic knowledge of physics, specifically force and elongation
- Ability to calculate cross-sectional area of a cylinder
- Familiarity with units of pressure (Pascals)
NEXT STEPS
- Research the properties of nylon and its applications in climbing gear
- Learn about the calculation of stress and strain in materials
- Explore the significance of Young's modulus in engineering and material selection
- Investigate safety standards for climbing equipment and their testing methods
USEFUL FOR
Climbers, material scientists, physics students, and engineers interested in the mechanical properties of climbing gear and safety standards.