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?

Explanation

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.