Question

write the formula of the speed of the car on a banked circular road when friction force acting on the tires is zero​

Answer 1

Answer:

when friction is zero then the max speed a car should move with is equal to

$\sqrt{rgtan(theta)}$

Answer 2

Speed = √rg tanƟ

Because friction is zero therefore $\mu_{\mathrm{s}}=0$

Vmax = √rg (tanƟ + 0) / (1 – (0) tanƟ)  

= √rg tanƟ/(1-0)

= √rg tanƟ

Where tanƟ will be $v^{2} / \mathrm{rg}$

Here maximum speed of car depends on curved road and their banking angle which does not depends on mass of car. Therefore, angle for heavy or light car will be same. Speed of car will  maximum when angle will be 1ᵒ or 45ᵒ.