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In car handling, slip angle is the angle between a rolling wheel’s actual direction of travel and the direction towards which it is pointing (i.e., the angle of the vector sum of wheel translational velocity vx and sideslip velocity vy). This slip angle results in a force perpendicular to the wheel’s direction of travel — the cornering force. This cornering force increases approximately linearly for the first few degrees of slip angle, then increases non-linearly to a maximum before beginning to decrease. (This is directly analogous to the coefficient of lift in aerodynamics.)

The slip angle, α is defined as

\alpha \triangleq -\arctan\left(\frac{v_w}{|u_w|}\right)