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 Nm^(-2),` what is the maximum load the cable can support?

Explanation

Maximum stress `= ("maximum force")/("cross sectional area")`
`therefore` Maximum force
`F_(max) =` Maximum stress `xxA`
`= 10^(8) xx pi r ^(2)`
`= 10^(8) xx 3.14 xx (1.5 xx 10 ^(-2)) ^(2)`
`= 3.14 xx 2.25 xx 10 ^(8) xx 10 ^(-4)`
`=7.-065 xx 10 ^(4) N`
`~~7.07 xx 10 ^(4) N`