Question

Consider a steel cable with a diameter of 8.0 mm. Calculatethe stress in the cable when it holds a person weighing 850 N.Report your answer in MPa (106 Pa = 1 MPa).

Answer 1

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:

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