1.

Write vector relation between angular velocity tangential velocity and position vector

Answer»

Let a particle moves with CONSTANT speed v m/s in TANGENTIAL direction of circular path of radius r. if ANGULAR velocity of particle is \omega
then RELATION between v, r and \omega
is given by \boxed{\bf{v=\omega\times r}}
hence, tangential velocity of particle is the cross product of angular velocity and position vector of it.

magnitude of tangential velocity is given by
|v|=\omega rsin\theta
where \theta is angle between \omega and r.



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