Question

A vehicle is moving with a speed $v$ on a curved smooth road of width $b$ and radius $R$. For counteracting the centrifugal force on the vehicle, the difference in elevation required in between the outer and inner edges of the road is

• A. $\frac{v^{2}b}{Rg}$
• B. $\frac{vb}{Rg}$
• C. $\frac{v{b}^2}{Rg}$
• D. $\frac{vb}{R^{2}g}$

Answer 1

Answer: (A)

$\frac{v^{2}b}{Rg}$

tan $\theta$ $=\frac{v^2}{Rg}\Rightarrow \frac{h}{b}=\frac{v^2}{Rg}\Rightarrow h=\frac{v^{2}b}{Rg}$.