Question

A scooter is going at a speed v at a turn having radius 20 m. If turn A is horizontal and slope of the road is 0.5, find the minimum time in which he can complete the turn, assuming the scooter follows uniform circular motion.

• A. $\pi$
• B. $3\pi$
• C. $4\pi$
• D. $5\pi$

Answer 1

The correct option is C $4\pi$

The maximum safe velocity of the scooter executing a turn of radius r on a road of slope angle $\theta$$v=\sqrt{rg\tan \theta }=\sqrt{20\times 10\times 0.5}=\sqrt{100}=10m{s}^{-1}$
$\therefore$ Minimum time taken to complete the turn $=\frac{2\pi r}{v}=\frac{2\pi \times 20}{10}=4\pi sec$