 The particle has linear velocity splitting as formula_14, with the radial component formula_15 parallel to the radius, and the cross-radial (or tangential) component formula_16 perpendicular to the radius.When there is no radial component, the particle moves around the origin in a circle; but when there is no cross-radial component, it moves in a straight line from the origin.Since radial motion leaves the angle unchanged, only the cross-radial component of linear velocity contributes to angular velocity.