Question

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

Solution

Radius of the steel cable, r = 1.5 cm = 0.015 m
Maximum allowable stress = 10⁸ N m^–2
Maximum stress =

fraction numerator Maximum space force over denominator Area space of space cross minus section end fraction

10 to the power of 8 space cross times space straight pi space left parenthesis 0.015 right parenthesis squared

= 7.065 × 10⁴ N
Hence, the cable can support the maximum load of 7.065 × 10⁴ N.

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