Question qbout uniform circular motion

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In uniform circular motion, angular velocity is defined as a vector quantity, regardless of whether the angular displacement is finite or infinitesimal. The confusion arises from the properties of vector addition, where finite angular displacements do not adhere to associative and commutative laws. However, infinitesimal angular displacements are considered true vectors. The discussion highlights the distinction between finite and infinitesimal angular displacements in relation to vector characteristics. Ultimately, angular velocity remains a vector quantity in both cases.
abhijitlohiya
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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
 
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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
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.
 
finite angular displacement do not obey the associative and commutative law of vector addition,so is not a true vector.is it so?infinitesimal angular displacement is a vector.is it correct?
 
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