Angular Displacement and Velocity – Rankers Physics
Topic: Circular Motion
Subtopic: Kinematics of Circular Motion

Angular Displacement and Velocity

Assertion (A): Infinitesimally small angular displacement is a vector quantity.
Reason (R): Angular velocity doesn't depend upon reference frame.
 
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

Infinitesimally small angular displacement \( d\vec{\theta} \) is a vector because it obeys the commutative law of vector addition. Thus (A) is true.


Angular velocity \( \vec{\omega} \) is a vector quantity, and its value depends on the chosen reference frame. Hence (R) is false.

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