Answer:
P = 188.496 N.
Explanation:
The axial elongation of the wire is modelled by this equation:
[tex]\delta = \frac{P \cdot L}{(\frac{\pi}{4}\cdot D^{2})\cdot E_{steel}}[/tex]
The force can be calculated by isolating it within the expression:
[tex]P=\frac{\delta \cdot (\frac{\pi}{4}\cdot D^{2})\cdot E_{steel}}{L}[/tex]
Let assume that [tex]L = 1 m[/tex]. Then:
[tex]P =\frac{(0.3 mm)\cdot (\frac{1 m}{1000 mm} )\cdot (\frac{\pi}{4}\cdot [(2 mm)\cdot(\frac{1 m}{1000 mm} )]^{2} )\cdot (200 \times 10^{9} Pa)}{1 m} \\P \approx 188.496 N[/tex]
