1 Answer

Nandakumar V · Answer 1 · 2023-07-18T21:40:54+0000

Answer:

stress = 16.9 MPa

Step-by-step explanation:

The stress in the cable can be calculated as:

$\text{Stress = }(F)/(A)$

Where F is the force and A is the area. So, the area can be calculated as:

$A=\pi^{}\cdot r^2$

Where r is the radius. Since the radius is half the diameter, the radius is 4.0 mm and the area will be equal to:

$\begin{gathered} A=3.14(4\operatorname{mm})^2 \\ A=50.24\operatorname{mm}^2 \end{gathered}$

Then, replacing the force F by 850 N, and A by 50.24 mm², we get that the stress is equal to:

$\text{stress = }(850N)/(50.24mm^2)=16.9\text{MPa}$

Therefore, the answer is 16.9 MPa

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