Question

The strength of standard wire rope is proportional to

• A. The diameter of the rope
• B. Square of the diameter of the rope
• C. Square root of the diameter of the rope
• D. Inverse of the diameter of the rope

Hint:

For a standard wire rope, \[ \boxed{ \text{Strength}\propto d^2. } \]

Answer 1

The Correct Option is B

Step 1: Recall the relation for wire rope strength. The breaking strength of a standard wire rope is proportional to its metallic cross-sectional area.

Step 2: Relate area to diameter. Since the cross-sectional area is \[ A=\frac{\pi d^{2}}{4}, \] the rope strength is proportional to \[ \boxed{d^{2}}. \] Hence, \[ \boxed{\text{Square of the diameter of the rope}} \] is the correct answer. Therefore, \[ \boxed{(B)} \] is the correct answer.