# Can you drive your car in such a way that your tangential acceleration is zero while at the same time your centripetal acceleration is nonzero? Give example or state why not.

Apr 26, 2016

No, not possible.

#### Explanation:

For Circular Motion, Centripetal Force ${F}_{c} = - m r {\omega}^{2}$

Where $m$ is the mass of the body assuming it to be a point mass.

$r$ is the radius of the circle and $\omega$ is angular velocity.
$-$ sign means that the force is opposite to the radius vector and is directed towards the center.

We also know that centripetal force and centrifugal force, action-reaction force pair are associated with circular motion.

What the problem is posed that one is zero and other non-zero this is not physically possible as action and reaction are equal and opposite.