Assertion: In circular motion, dot product of velocity vector ( v) and acceleration vector (a) may be positive, negative or zero. Reason: Dot product of angular velocity vector and linear velocity vec

Question

Assertion: In circular motion, dot product of velocity vector ( v) and acceleration vector (a) may be positive, negative or zero. Reason: Dot product of angular velocity vector and linear velocity vector is always zero.

TestHub · Accepted Answer

v ⋅ a = v a t ​ : it is zero in uniform circular motion, positive when the speed increases and negative when the speed decreases (Assertion true). The Reason is also true: ω is along the axis of rotation, perpendicular to the plane containing v , so ω ⋅ v = 0 always. But this does not explain the Assertion.

Physics - Circular Motion Question with Solution | TestHub

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