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e2m2a
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I understand that angular velocity is technically not a vector so does that mean the cross product of the radius vector and the angular velocity vector, the tangential vector, is also not a vector?
If you are working in the two dimensional plane then angular velocity has only one dimension. It is a scalar.e2m2a said:I am told that angular velocity is not a vector so does that mean the cross product between the radius vector and angular velocity vector, the tangential velocity vector, is also not a vector?
Ok. Thanks for the explanation.jbriggs444 said:If you are working in the two dimensional plane then angular velocity has only one dimension. It is a scalar.
If you are working in three dimensions then angular velocity is a pseudovector. It has magnitude and direction, but if you do a mirror reflection on your coordinate system so that all of your vectors change signs, the pseudovectors remain unchanged. So picky mathematical types do not want to call them vectors.
Taking the cross product of the angular momentum [pseudo]vector and the radius vector will do just fine to get you a velocity vector.
All right. Thanks. That clears things up.Dale said:In three dimensions, the cross product of two (polar) vectors gives a pseudovector. The cross product of a pseudovector and a vector gives a vector. The cross product of two pseudovectors gives a pseudovector.
Angular velocity is a vector quantity, meaning it has both magnitude and direction.
Angular velocity measures the rate of change of an object's angular position, while linear velocity measures the rate of change of an object's linear position.
Yes, angular velocity can be negative. A negative angular velocity indicates that the object is rotating in the opposite direction of its positive angular velocity.
Angular velocity is calculated by dividing the change in angular position by the change in time. It is typically measured in radians per second (rad/s) or degrees per second (deg/s).
Angular velocity and angular acceleration are related by the equation: angular acceleration = change in angular velocity / change in time. In other words, angular acceleration measures the rate of change of angular velocity.