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 10^8Nm^−2, what is the maximum load the cable can support ?

Given,

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

Maximum allowable stress = 10N m−2

As we know,

Maximum stress = Maximum force/Area of cross section

Thus,

Maximum force = Maximum stress x Area of cross section

= 108 ×π (0.015)2

= 7.065×104 N

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