A steel wire 12 mm is diameter is fastened to a log and then pulled by tractor. The length of steel wire between the log and the tractor is 11m. A force of 10,000 N is required to pull the log. What is the stress in the wire?

Explanation

To find the stress in the wire, we use the formula Stress = Force / Area. The force applied is 10,000 N. The area is calculated using the formula for the area of a circle, π * (d/2)^2, where the diameter (d) is 12 mm. First, convert the diameter to meters: 12 mm = 0.012 m. Then, calculate the area: Area = π * (0.012/2)^2 = π * 0.006^2 = 0.000113097 m^2. Finally, calculate the stress: Stress = 10,000 N / 0.000113097 m^2 ≈ 88,457,723.95 Pa. Convert Pa to MPa by dividing by 1,000,000: Stress ≈ 88.46 MPa. Therefore, the correct answer is 88.46 MPa. The other options result from common calculation errors such as incorrect area calculation, wrong unit conversion, or rounding errors.