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A circular road of radius 50 m has the a...

A circular road of radius 50 m has the angel of banking equal to `30^0`. At what speed should a vehicle go on this road so that the friction is not used?

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The correct Answer is:
A
Angle ofbanking`=theta=30^0`
`Radius =r=50 m`
` tantheta=(v^2/rg)tan30^0`
`gt (1/sqrt3)=(v^2/(rg)`
`rarr v^2=(rg)/sqrt3=(50x10)/sqrt3`
`rarr v=sqrt(500/sqrt3)=17 m/sec`
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