Physics Two Dimensional Motion Question 70

Question: A particle is moving along a circular path. The angular velocity, linear velocity, angular acceleration, and centripetal acceleration of the particle at any instant, respectively, are $ \vec{w},,\vec{v},,\vec{\alpha },and,{{\vec{a}} _{c}} $ . Which of the following relations is not correct?

Options:

A) $ \vec{w}\bot \vec{v} $ B) $ \vec{w}\bot \vec{\alpha } $ C) $ \vec{w}\bot {{\vec{\alpha }} _{c}} $ D) $ \vec{v}\bot {{\vec{\alpha }} _{c}} $

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Answer:

Correct Answer: B

Solution:

[b] Angular acceleration and angular velocity are along the axis of circular path. So they can not be perpendicular to each other.