Question

A steel cable with a radius of $1.5cm$ supports a chairlift at a ski area. If the maximum stress is not to exceed ${10}^{8}N/m^2$, what is the maximum load the cable can support?

Answer 1

Given,

Maximum stress the cable can take $={10}^{8}N/m^2$
Radius of the steel cable, $r=1.5cm=0.015m$
Area of cross section $\left(A\right)=\pi r^2$
$=3.14\times (0.015{)}^2$
$=7.065\times {10}^{-4}{m}^2$

$\text{Maximum load = Maximum stress}\times \text{Area of cross section}$

$={10}^8\times 7.065\times {10}^{-4}$
$=7.065\times {10}^{-4}N$