A force of 100 N is applied to a rod with a diameter of 6.00 mm. The stress on the rod is A) 5.47 × 10⁶ N/m². B) 4.15 × 10⁶ N/m². C) 3.54 × 10⁶ N/m². D) 2.64 × 10⁶ N/m². E) 2.03 × 10⁶ N/m².

Question

Quizplus · Accepted Answer

The stress on the rod can be calculated using the formula: stress = force/area.

First, we need to find the area of the rod. Since the rod has a diameter of 6.00 mm, its radius is 3.00 mm (or 0.003 m). The area of a circle is given by the formula A = πr^2, so the area of the rod is:

A = π(0.003)^2 = 2.83 × 10^-5 m^2

Now we can calculate the stress:

stress = force/area = 100 N / (2.83 × 10^-5 m^2) = 3.54 × 10^10 N/m^2

Therefore, the answer is C, 3.54 × 10^10 N/m^2.

A Force of 100 N Is Applied to a Rod