Stress Calculation on a Wire Under Tension

Understanding Stress on a Wire:

Stress Calculation: Stress on a wire is a crucial factor in understanding its mechanical properties. When a wire is under tension, it experiences stress, which is defined as the force acting on the wire per unit area. The formula to calculate stress is σ = F/A, where σ is the stress, F is the force (in this case, the tension in the wire), and A is the cross-sectional area of the wire.

Calculating Stress on the Wire:

Given Data: Diameter of the wire = 3.0 cm = 0.03 m, Tension = 2.5 x 10⁶ N

Calculating Area: Using the formula for the area of a circle (A = π(d/2)²), the area of the wire can be found. Substituting the diameter into the formula, we get A = 7.07 x 10^-4 m².

Final Stress Calculation:

Substituting the values of force (F) and area (A) into the stress formula, we get σ = 3.53 x 10^9 Pascals. Therefore, the stress on the wire under a tension of 2.5 x 10⁶ N and a diameter of 3.0 cm is 3.53 x 10^9 Pascals.

Understanding how stress is calculated on a wire under tension is essential for various applications in engineering and physics. By knowing the stress, engineers can determine the wire's strength and design structures that can withstand the applied force.