Optimal Banking Angle for a 730 kg Car at 90 km/h on a 170 m Curve

[ddawg923]

A 730 kg car travels at 90 km/h around a curve with a radius of 170 m. What should the banking angle of the curve be so that the only force between the pavement and tires of the car is the normal reaction force?

 

[rocomath]

FAQ: Why hasn't anybody answered my question? - https://www.physicsforums.com/showthread.php?t=94379

If you do a search on, banked curve, you will find a problem just like yours.