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

Question

Quizplus · Accepted Answer

The stress in the rod can be calculated using the formula:

stress = force/area

The area of the rod can be calculated using the formula for the area of a circle:

area = pi * (diameter/2)^2

Substituting the given values, we get:

area = 3.14 * (6.00/2)^2 = 28.27E-06 m^2

Substituting the given force, we get:

stress = 100/28.27E-06 = 3.54E+09 N/m^2

Converting to scientific notation, we get:

stress = 3.54 x 10^9 N/m^2

Therefore, the best choice is C.

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