The banking angle for a curved road of radius 490 m for a vehicle moving at 35 m s -1 is

Question

The banking angle for a curved road of radius 490 m for a vehicle moving at 35 m s -1 is (A)  tan -1(0.25) (B)  tan -1(0.35) (C)  tan -1(1) (D)  tan -1(0.65)

Tardigrade Admin · Accepted Answer

Here, v=35 ms -1, r=490 m ∴ tan θ=(v2/r g)=((35)2/490 × 9.8)=0.25 or θ= tan -1(0.25)

Q. The banking angle for a curved road of radius $490 m$ for a vehicle moving at $35 m s^{- 1}$ is

$tan^{- 1} (0.25)$

$tan^{- 1} (0.35)$

$tan^{- 1} (1)$

$tan^{- 1} (0.65)$

Here, $v = 35 m s^{- 1}, r = 490 m$
$∴ tan θ = \frac{v ^{2}}{r g} = \frac{( 35 ) ^{2}}{490 \times 9.8} = 0.25$
or $θ = tan^{- 1} (0.25)$

Q. The banking angle for a curved road of radius 490m for a vehicle moving at 35ms−1 is

tan−1(0.25)

tan−1(0.35)

tan−1(1)

tan−1(0.65)