NEET Physics Question - Circular Motion - Kinematics of Circular Motion

Assertion (A): Average angular velocity is a scalar quantity.

Reason (R): Large angular displacements \( (\Delta \theta) \) is a scalar.

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:

Instantaneous angular velocity \( \vec{\omega} \) is a vector. However, finite angular displacement \( \Delta \theta \) is not a vector, but a scalar, as stated in Reason (R). Therefore, if average angular velocity is defined as the scalar \( \Delta \theta / \Delta t \), then Assertion (A) is considered true. In this context, both (A) and (R) are true, and (R) provides the explanation for (A).

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Angular Velocity and Displacement Nature

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