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?

A steel cable with a radius of 1.5 cm supports a chairlift at a ski ar

1.	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?
Answer» Solution :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`