The schematic diagram of the circular motion of a car on a banked road is shown in the figure.
The optimum speed of a car on a banked road to avoid wear and tear on its tyres is given by _______
i)`sqrt(Rg tantheta)`
ii) `sqrt(RgCottheta)`
iii) `sqrt(RgSintheta)`
iv) `sqrt(RgCostheta)`

The schematic diagram of the circular motion of a car on a banked road is shown in the figure. If the centripetal force is provided by the horizontal components of 'N' and 'f' arrived at expression for maximum safe speed.

We are familiar with Newton's laws of motion. A circular race track of radius 300m is banked at an angle of 15° .The coefficient of friction between the wheels of a race car and the road is 0.2 ,find : (i)The optimum speed of the race car to avoid wear and tear on its tyres. (ii)Maximum permissible speed to avoid slipping.

A circular track of radius 400m is kept with outer side of track raised to make 5° with the horizontal.(coefficient of friction 0.2 ). Name such track. What is the (i) optimum speed of the race car to aviod wear and tear on its tyres . (ii) maximum permissible speed to aviod slipping ?