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Pressure

A steel cable...

Question

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 10⁸N m^–2, what is the maximum load the cable can support?

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Solution

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

Maximum allowable stress = 10⁸ N m^–2

Maximum stress =

∴Maximum force = Maximum stress × Area of cross-section

= 10⁸ × π (0.015)²

= 7.065 × 10⁴ N

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

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