Question

A steel cable with a radius of 2 cm supports a chairlift. If the maximum stress is not to exceed $8\times {10}^{7}N/m^2$, what is the maximum load the cable can support?

• A. ${10}^{5}N$
• B. ${10}^{7}N$
• C. ${10}^{6}N$
• D. ${10}^{9}N$

Answer 1

The correct option is A ${10}^{5}N$

$F_{max}={\delta }_{max}A$
$=8\times {10}^7\times \pi \times (2\times {10}^{-2}{)}^2$
$=8\times {10}^7\times \pi \times 4\times {10}^{-4}={10}^7\times {10}^{-4}\times 100$
$={10}^{5}N$