First slide

Circular motion

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 $\vec{ω}, \vec{v}, \vec{α}, and {\vec{a}}_{c}$ . Which of the following relations is not correct?

Easy

A

$\vec{ω} ⊥ \vec{v}$
B

$\vec{ω} ⊥ \vec{α}$
C

$\vec{ω} ⊥ {\vec{α}}_{c}$
D

$\vec{v} ⊥ {\vec{α}}_{c}$

Solution

Angular acceleration and angular velocity are along the axis of circular path. So they cannot be perpendicular to each other.

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