Question

Keeping banking angle same to increase the max speed with which a vehicle can travel on a curved road by 10% , the radius of curvature of road has to be changed from 20 m to -

Answer 1

Answer:

Explanation:On the curved road,

Fnet​=Fcen​

mgtanθ=rmv2​

where m is the mass, v is the speed,  is the banking angle and r is the radius of the curvature.

⟹tanθ=rgv2​

It is the given that banking angle would be kept same. we want to increase the speed by 10%. It means new speed, v2​=1.1v1​

The radius of curvature is r1​=20m

we want to find the new radius of curvature, r2​

⟹r1​v1​2​=r2​v2​2​

on solving above equation with given values we get

r2​=24.2m

The radius of curvature of the road will have to be changed from 20m to-24.2 m.