A car taken a turn along a curved road of radius $40$ m and the angle of banking of the road is $45^{o}$ . At what maximum speed can the car be driven so that it may not skid. $(g = {10 m s}^{- 2}$ ).

{20 m s}^{- 1}

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{10 m s}^{- 1}

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{5 m s}^{- 1}

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{1 m s}^{- 1}

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Solution

The correct option is A ${20 m s}^{- 1}$
For banking of road:
$V^{2} \leq r g tan θ$
$⟹ V \leq \sqrt{r g tan θ}$
$⟹ V \leq \sqrt{40 \times 10 \times tan 45^{o}}$
$⟹ V \leq 20$
$⟹ V_{m a x} = 20$ $m / s$

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A car taken a turn along a curved road of radius 40 m and the angle of banking of the road is 45o. At what maximum speed can the car be driven so that it may not skid. (g =10 ms−2).

The correct option is A 20 ms−1For banking of road:V2≤rgtanθ⟹V≤√rgtanθ⟹V≤√40×10×tan45o⟹V≤20⟹Vmax=20 m/s

A car taken a turn along a curved road of radius $40$ m and the angle of banking of the road is $45^{o}$ . At what maximum speed can the car be driven so that it may not skid. $(g = {10 m s}^{- 2}$ ).

The correct option is A ${20 m s}^{- 1}$
For banking of road:
$V^{2} \leq r g tan θ$
$⟹ V \leq \sqrt{r g tan θ}$
$⟹ V \leq \sqrt{40 \times 10 \times tan 45^{o}}$
$⟹ V \leq 20$
$⟹ V_{m a x} = 20$ $m / s$