Question

A steel cable with a radius 2 cm supports a chairlift at a ski area. If the maximum stress is not to exceed `108 N m^(-2)`, the maximam load the cable can support
A. `4pi xx 10^(5)N`
B. `4pi xx 10^(4) N`
C. `2pi xx 10^(5) N`
D. `2pi xx 10^(4)`

Answer 1

Correct Answer - B
Here, `r = 2 cm = 2xx 10^(-2) m`
Maximum load = Maximum stress`xx`Area of the cross-section
`= 10^(8) N m^(-2) xx pixx(2xx 10^(-2)m)^(2)`
`= 4 pi xx 10^(4)N`