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

Q9  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?

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Let the maximum Load the Cable Can support be T

Maximum Stress Allowed, P = 108 N m-2

Radius of Cable, r = 1.5 cm

\\T=P\pi r^{2}\\ T=10^{8}\times \pi \times (1.5\times 10^{-2})^{2}\\ T=7.068\times 10^{4}N

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