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A steel cable with a radius 2 cm support...

A steel cable with a radius 2 cm supports a chair lift at a ski area. If the maximum stress is not to exceed `'10^8 N m^(-2)`, the maximum 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)`

Text Solution

Verified by Experts

The correct Answer is:
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`
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