I would for interests sake like to do what the question title says.
Consider a curve with a constant radius (r) and a motorcycle traveling at constant linear velocity (v) approaching the curve. There coefficient of friction between the tyre and the road is sufficient that the tyre will not slip (at any reasonable speed round the curve - ie no drifting to be considered).
I would like to know what is the angle the motorcycle will be from vertical for it to navigate the curve.
What is the equation to calculate the angle?