Did you know?
Did you know that the stress and strain in a wire can be calculated using the force applied, the length of the wire, and the diameter of the wire? In this example, a force of 40N is applied at the end of a wire 4m long, resulting in an extension of 0.24mm. By dividing the force by the cross-sectional area of the wire, we can determine the stress on the wire. In this case, the stress is calculated as the force (40N) divided by the cross-sectional area (πr², with r being the radius of the wire (0.001m)). This yields a stress of approximately 1.27 x 10¹⁰ Pa. Additionally, the strain in the wire can be found by dividing the extension (0.24mm) by the original length (4m). The strain for this wire is approximately 6 x 10⁻⁵. Remember, stress and strain are important measurements in understanding how a material responds to external forces.
Solution:
(i) Stress on the wire = Force / Area
Area = π * (diameter / 2)² = π * (0.002m / 2)²
Stress = 40N / [π * (0.002m / 2)²]
(ii) Strain in the wire = Extension / Original length
Strain = 0.24mm / 4m
