What angle should the curve be banked at?

[TheConfewsd]

Homework Statement

A 162kg car rounds a curve with a radius of 267 m at 43 m/s. The acceleration of gravity is 9.8 m/s2

a. (already solved) - What force must the road exert on the road to keep the car on the curve.

1121.864 Newtons

b. - At what angle must the curve be banked to give a passenger the most comfortable ride?

Homework Equations

Centripetal force = mass x velocity2/radius
Centripetal acceleration = velocity2/radius

The Attempt at a Solution

I have no attempt. I do not understand what part "b" of the problem is asking or how to solve for it.

I don't even really want a solution, I just need someone to explain to me how to solve what angle the curve should be banked at, and I'll solve it myself.

 

[rock.freak667]

The centripetal force should be the same as the component of the weight for a comfortable ride.

 

[rl.bhat]

If R is the normal reaction of the road on the car, for comfortable driving, R*cosθ must balance the weight of the car mg, and R*sinθ must provide necessary centripetal force m*v^2/r. Using these hints solve for θ.