SUMMARY
The calculation of Young's modulus for a wire with a length of 4.97 m and a cross-sectional area of 0.104 cm², which stretches by 6.52 mm under a load of 0.92 kN, is determined using the formula Y = (F/A) * (ΔL/L). The correct values are F = 920 N and A = 0.0000104 m². The final calculation yields Young's modulus as 1.76 x 10^9 Pa, confirming the importance of accurate unit conversions in the process.
PREREQUISITES
- Understanding of Young's modulus and its significance in material science.
- Familiarity with basic physics equations involving force, area, and elongation.
- Knowledge of unit conversions, particularly between metric and SI units.
- Ability to perform calculations involving algebraic manipulation of formulas.
NEXT STEPS
- Study the derivation of Young's modulus and its applications in engineering materials.
- Learn about different methods for measuring material properties, including tensile testing.
- Explore the effects of temperature and material composition on Young's modulus.
- Investigate the relationship between Young's modulus and other mechanical properties like tensile strength.
USEFUL FOR
Students in physics or engineering courses, material scientists, and professionals involved in mechanical testing and material selection will benefit from this discussion.