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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 108Nm-2, what is the maximum load the cable can support?


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Solution

Step 1: Given

Radius of the steel cable, r =1.5cm=0.015m

Maximum allowable stress =108Nm-2

Step 2: Formula used and calculation

Maximum stress = Maximum force/Area of cross-section

Thus,

Maximum force = Maximum stress x Area of cross-section

=108×π×r2=108×3.14×0.015×0.015N=7.065×104N

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


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