As the angle of bank "θ" approaches 90°, the tangent function approaches infinity, allowing larger values for |v|2/"r". In words, this equation states that for greater speeds (bigger |v|) the road must be banked more steeply (a larger value for "θ"), and for sharper turns (smaller "r") the road also must be banked more steeply, which accords with intuition. When the angle "θ" does not satisfy the above condition, the horizontal component of force exerted by the road does not provide the correct centripetal force, and an additional frictional force tangential to the road surface is called upon to provide the difference. If friction cannot do this (that is, the coefficient of friction is exceeded), the ball slides to a different radius where the balance can be realized.