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]

Question

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] (A) 3.4 ms -1 (B) 13 ms -1 (C) 17 ms -1 (D) 22.4 ms -1

Tardigrade Admin · Accepted Answer

f s =( mv2 / r ) For maximum speed in safe turning, f s = f s max =μ mg v max text (for safe turning =√μ rg =√0.34 × 50 × 10 ≈ 13 m / s

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 $g = 10 m s^{- 2}]$

$3.4 m s^{- 1}$

$13 m s^{- 1}$

$17 m s^{- 1}$

$22.4 m s^{- 1}$

$f_{s} = \frac{m v ^{2}}{r}$
For maximum speed in safe turning,
$f_{s} = f_{s} max = μ m g$
$v_{m a x} (for safe turning = μ r g$
$= 0.34 \times 50 \times 10 \approx 13 m / s$

Q. A car is moving on a horizontal curved road with radius 50m. The approximate maximum speed of car will be, if friction between tyres and road is 0.34. [take g=10ms−2]

3.4ms−1

13ms−1

17ms−1

22.4ms−1