Question

An automobile makes a turn whose radius 18 m. The road is banked at an angle of

10^o when the friction between the tires and the road is zero. At what speed should the driver take the curve to avoid sliding off the road?

Answer 1

$N\sin10°=m\frac{v^2}{r}$

$N\cos10°-mg=0$

So, we have

$\tan10°=\frac{v^2}{gr}$

$v=\sqrt{9.8\cdot\tan10°\cdot 18}=5.58(m/s)$ . Answer