A car is moving on a horizontal curved road with radius $$50$$ m. The approximate maximum speed of car will be, if friction between tyres and road is $$0.34$$. [Take $$g = 10$$ m s$$^{-2}$$]

Find the maximum speed of a car on a horizontal curved road with radius 50 m and friction coefficient 0.34.

The friction provides the centripetal force:

$$\mu mg = \frac{mv^2}{R}$$

$$v_{max} = \sqrt{\mu R g}$$

$$v_{max} = \sqrt{0.34 \times 50 \times 10}$$

$$v_{max} = \sqrt{170}$$

$$\sqrt{170} \approx \sqrt{169} = 13$$ m/s (approximately)

The correct answer is Option C: $$13$$ m s$$^{-1}$$.

Create a FREE account and get:

Predict your JEE Main percentile, rank & performance in seconds

Check Your Score Now

Ask our AI anything

AI can make mistakes. Please verify important information.

Download resources