SUMMARY
The elastic modulus of a wire with a diameter of 0.2 mm that stretches by 0.20% under a 6.28-N force is calculated using the formula Elastic Modulus = F/A/(ΔL/L). The correct calculation reveals that the elastic modulus is 1.0 x 1011 N/m2. Common errors included miscalculating the area and misunderstanding the ratio of change in length to original length.
PREREQUISITES
- Understanding of basic physics concepts, specifically stress and strain.
- Familiarity with the formula for elastic modulus: Elastic Modulus = F/A/(ΔL/L).
- Knowledge of geometric calculations for the area of a circle: A = πr².
- Ability to convert units, particularly from millimeters to meters.
NEXT STEPS
- Study the derivation and applications of the elastic modulus in materials science.
- Learn about stress-strain curves and their significance in material properties.
- Explore the differences between elastic and plastic deformation in materials.
- Investigate the impact of temperature and material composition on elastic modulus.
USEFUL FOR
Students in physics or engineering, particularly those studying material properties and mechanics, as well as educators looking for examples of elastic modulus calculations.