Question

A steel cable with a radius 1.5 cm supports a chairlift at a ski area. If the maximum stress is not to exceed 10⁸ Nm^-2, what is the maximum load the cable can support?

1. 7.07 × 10⁶ N
2. 7.07 × 10⁴ N
3. 3.14 × 10⁴ N
4. None

Answer 1

Correct Answer - Option 2 : 7.07 × 10⁴ N

\(Maximum\;stress\; = \;\frac{{Maximum\;load}}{{cross - sectional\;Area}}\)

∴ Maximum load = πr² × maximum stress

 = 3.14 × (1.5 × 10^-2)² × 10⁸ N

 = 7.07 × 10⁴ N