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A railway carriage has its CG at a heigh...

A railway carriage has its CG at a height of 1 m above the rails , which are 1 m apart . Calculate the maximum safe speed at which it can travel round an unbanked curve of radius 80 m .

Text Solution

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Here , ` h = 1 m , 2 b = 1 m,`
`upsilon_(max) = ? r = 80 m`
For safe turn , `tan theta = (upsilon^(2)max)/(rg )= (h)/(b)`
`upsilon_(max) = sqrt((hrg)/(b))= sqrt((1 xx 80 xx 9.8 )/(1//2)`
`= sqrt( 160 xx 9.8)= 39 .6 m // s` .
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