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 ] [2023]

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Solution

Q.
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 $g = 10$ ${ms}^{- 2}$ ] [2023]

1 3.4 ${ms}^{- 1}$

2 22.4 ${ms}^{- 1}$

3 13 ${ms}^{- 1}$

4 17 ${ms}^{- 1}$

Ans.
(3)

$f_{s} = \frac{m v^{2}}{r}$

For maximum speed in safe turning.

$f_{s} = f_{s} max = μ m g$

$v_{max} (for safe turning) = \sqrt{μ r g}$

$\Rightarrow v_{max} = \sqrt{0.34 \times 50 \times 10} = 13 m/s$

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