Angular velocity is perpendicular to the plane of motion
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angular velocity: A vector quantity describing an object in circular motion; its magnitude is equal to the speed of the particle and the direction isperpendicular to the plane of its circular motion.
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The right hand rule can be used to find the direction of both the angular momentum and the angular velocity. From a spinning disc, for example, let’s again imagine a pole through the center of the disc, at the axis of rotation. Using the right hand rule, your right hand would be grasping the pole so that your four fingers (index, middle, ring, and pinky) are following the direction of rotation. That is, an imaginary arrow from your wrist to your fingertips points in the same direction as the disc is rotating. In addition, your thumb is pointing straight out in the axis, perpendicular to your other fingers (or parallel to the ‘pole’ at the axis of rotation). Using this right hand rule, the direction of angular velocity ω and angular momentum L are defined as the direction in which the thumb of your right hand points when you curl your fingers in the direction of the disc’s rotation.
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