A railway carriager has its centre pf gravity at a height of 0.75m above the rails, which are 1m apart. The maximum safe speed at which it could travel round on unbanked curve of radius 100 m is

Options

A. `12ms^(-1)`
B. `18ms^(-1)`
C. `22ms^(-1)`
D. `27ms^(-1)`

Answer

C

Explanation

Given , h =0.75m, r=100m,b=1m For no skidding
`(mv^2)/(r)xxb=mgh`
`v=sqrt((grh)/(b))=sqrt((9.8xx100xx0.75)/(1))`
`=27.1ms^(-1)`