In the discussion regarding uniform circular motion, it is established that angular velocity is a vector quantity, similar to linear velocity. The confusion arises from the nature of angular displacement; while finite angular displacement does not adhere to the associative and commutative laws of vector addition, it does not negate the vector nature of angular velocity. Infinitesimal angular displacement is confirmed to be a vector, reinforcing the concept that angular velocity remains a vector quantity regardless of the displacement's finiteness.
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I'm not sure I understand your question. How can angular displacement NOT be finite? Angular velocity, just like velocity is, by definition, a vector quantity.abhijitlohiya said:A particle is performing uniform circular motion.If the angular displacement is finite then whether angular velocity is a vector quantity or not?abhijitlohiya@gmail.com