SUMMARY
The discussion centers on calculating the stretch of a cable under load, specifically for a 1.75 cm diameter cable supporting a 1.25 m diameter steel wrecking ball. The user applied the formula δ=(FL/AE) but initially miscalculated the stretch, arriving at an implausible value of 29779.68 m. The correct approach involves accurately determining the force (F) using the wrecking ball's volume and density, and ensuring the area (A) is calculated correctly based on the cable's radius. The Young's modulus (E) for the cable is given as 175 GPa.
PREREQUISITES
- Understanding of Young's modulus and its application in material science
- Familiarity with basic physics concepts such as force, volume, and density
- Knowledge of geometric calculations for area and volume
- Proficiency in unit conversions, particularly between metric units
NEXT STEPS
- Review calculations involving Young's modulus in engineering applications
- Learn about the properties of materials, focusing on tensile strength and elasticity
- Explore advanced physics concepts related to static equilibrium and forces
- Investigate the implications of cable diameter on load-bearing capacity
USEFUL FOR
Engineering students, physics enthusiasts, and professionals involved in structural analysis or materials science will benefit from this discussion.