Question

A motor cyclist moving with a velocity of 72 km/hour on a flat road takes a turn on the road at a point where the radius of curvature of the road is 20 meters. The acceleration due to gravity is 10 $m/se{c}^2$. In order to avoid skidding, he must not bend with respect to the vertical plane by an angle greater than

• A. $\theta =ta{n}^{-1}6$
• B. $\theta =ta{n}^{-1}2$
• C. $\theta =ta{n}^{-1}25.92$
• D. $\theta =ta{n}^{-1}4$

Answer 1

The correct option is B

$\theta =ta{n}^{-1}2$

$v=72km/hour=20m/sec$
$\theta =ta{n}^{-1}\left(\frac{v^2}{rg}\right)=ta{n}^{-1}\left(\frac{20\times 20}{20\times 10}\right)=ta{n}^{-1}\left(2\right)$