A curved in a level road has aradius 75m. The maximum speed of a car turning this curved road can be 30 m/s without skidding.; If radius of curved road is changed to 48m and the coefficient of friction between the tyres and the road remains same, then maximum allowed speed would be…….m/s.

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Alok Kumar Singh | Contributor-Level 10

7 months ago

$f = \frac{m v^{2}}{R}$

\Rightarrow \frac{m v^{2}}{R} = μ N

$\frac{m v^{2}}{R} = μ m g$

$\Rightarrow 30 = \sqrt[]{μ * 75 * 10}$

$μ = \frac{30 * 30}{750} = 1.2$

Now, R = 48 m (new Radius of curvature)

$μ = 1.2$

$V_{m a x} = \sqrt[]{μ R g}$

$= \sqrt[]{1.2 * 48 * 10}$

$= 24 m / s e c$

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