Material Testing: A steel wire with a cross sectional area of 0.2 m2 is subjected to a tension loading force of 50N, calculate the stress applied to this wire.

1. Break Down the Problem

To calculate the stress applied to the steel wire, we need to identify the given values and the formula needed for the calculation. The stress ($\sigma$) in a material is defined as the force ($F$) applied per unit area ($A$):

$\sigma = \frac{F}{A}$

2. Relevant Concepts

• Force (F): 50 N (Newtons)
• Cross-Sectional Area (A): 0.2 m²

3. Analysis and Detail

Now, we will apply the values into the formula for stress:

$\sigma = \frac{F}{A} = \frac{50 \, \text{N}}{0.2 \, \text{m}^2}$

Calculating the stress:

$\sigma = 250 \, \text{N/m}^2$

4. Verify and Summarize

The calculated stress of 250 N/m² represents the amount of stress applied to the wire due to the tension force of 50 N acting on a cross-sectional area of 0.2 m².

Final Answer

The stress applied to the steel wire is $250 \, \text{N/m}^2$.