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A steel cable with a radius of 1.5 cm support a chairlift at a ski area.if the maximum stress is not to exceed `10^(8) Nm^(-2)`, what is the maximum load the cable can support? |
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Answer» Radius of the steel cable, r = 1.5 cm = 0.015 m Maximum allowable stress = `10^(8)"N m"^(-2)` Maximun stress= `("Maximum force")/("Area of cross-section")` `therefore` Maximum force = Maximum stress `xx` Area of cross-section `=10^(8)xxpi(0.015)^(2)` `7.065xx10^(4)` N Hence, the cable can support the maximum load of `7.065xx10^(4)` N. |
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