when first learning about the angular velocity/acceleration, the right hand rule is mentioned. According to it, the direction of angular velocity/acceleration is along the axis perpendicular to the plane of rotation. However at first glance this is not so intuitive. This got me to wonder if such direction of such vector is mathematical construct people made to make things convenient, or if it is a description of something intrinsic in workings of the universe. In other words, in certain situations, could the direction of angular velocity/acceleration affect physical system along that direction? Thanks
When rotational properties are defined as vectors, those vectors represent the axis we are rotating about. But the vector direction is a mathematical invention without much physical meaning. It gives us consistent rules for eg the cross product (another mathematical invention), but has no intuitive meaning.