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JEE Main 2022 (25 Jun, Shift 2) · Level Road & Rotating Platform

Level Road & Rotating Platform question from JEE Main 2022 (25 Jun, Shift 2)

Q10JEE Main 2022 · 25 JUN · SHIFT 2Medium

Level Road & Rotating Platform

A curve in a level road has a radius 75 m. 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 48 m and the coefficient of friction between the tyres and the road remains same, then maximum allowed speed would be ___________ m/s.

Numerical answer type. Work it out, then open the answer.

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Answer: 24

$v_{max} = \sqrt{\mu r g}$ , so $v \propto \sqrt{r}$ for the same $\mu$ .
$v' = 30\sqrt{\frac{48}{75}} = 30\sqrt{0.64} = 30 \times 0.8$
$v' = 24$ m/s

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