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A steel cable with a radius of 1.5 cm su...

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 `10^8 N m ^-2`, what is the maximum load the cable can support ?

Text Solution

Verified by Experts

We are given:
Maximum stress = `10^8 N//m^2`
Radius of cable = 1.5 cm = `1.5xx10^(-2)` m
We are to calculate: Maximum load that can be supported by the cable.
Using Relation:
Maximum load = `"Maximum stress "xx" area of cross section" = 10^8 xx (22)/(7)xx(1.5xx10^(-2))^2`
Maximum load = `7.07xx10^4` N.
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