The road can be ideally banked only for one speed.
For speed v m/s, in the absence of any friction, the ideal banking angle a is given by:
tan(a) = v^2 / (119 * 9.81)
tan(a) = v^2 / 1167.4.
See example 2:
http://batesville.k12.in.us/physics/...
If the coefficient of friction is u, then in the case of limiting friction, the angle a can be increased by an amount equal to the angle f of friction which satisfies:
tan(f) = u.
See example 1:
http://batesville.k12.in.us/physics/...
