Question

Keeping the angle of banking of the road constant, the maximum speed of the vehicles is to be increased by 10%. The radius of curvature of the road will have to be changed from 20 m to-

• A. 22 m
• B. 40 m
• C. 24.2 m
• D. 14.4 m

Answer 1

Answer: (C)

24.2 m

Answer 2

tanq = $\frac{v^{2}}{rg}$ ̃ r a v²

$\frac{r_{2}}{r_{1}}$ = $\left( \frac{v_{2}}{v_{1}} \right)^{2}$

or $\frac{r_{2}}{20}$ = $\left( \frac{1.1v}{v} \right)^{2}$

̃ r₂ = 24.2 m