Given that the angle of banking is equal to `30^(@)` and radius of the circular path 50m , calculate the maximum velocity with which a vehicle has to negotiate the turn so that the inner wheels do not take off the road `(g=9.8ms^(-2))`

Explanation

Given, `r=50m,theta=30^(@),tan30^(@)=1/sqrt3=0.5773`
We know that for banking
`v_("max")=sqrt(rgtantheta)=sqrt(50xx9.8xx0.5773)`
`v_("max")=16.8ms^(-1)`