Question

Two cars going round curve with speeds one at 90 km/h and other at 15 km/h. Each car experiences same acceleration. The radii of curves are in the ratio of

• A. 4 : 1
• B. 2 : 1
• C. 16 : 1
• D. 36 : 1

Answer 1

Answer: (D)

36 : 1

Answer 2

Centripetal acceleration = $\frac{v_{1}^{2}}{r_{1}} = \frac{v_{2}^{2}}{r_{2}}$ (given)

∴ $\frac{r_{1}}{r_{2}} = \left( \frac{v_{1}}{v_{2}} \right)^{2} = \left( \frac{90}{15} \right)^{2} = \frac{36}{1}$