For circular motion, if ${\vec a_t},\,{\vec a_c},\,\vec r$ and $\vec v$ are tangential acceleration, centripetal acceleration, radius vector and velocitym respectively, then find the wrong relation
${\vec a_t}.{\vec a_c} = 0$
${\vec a_t}.\vec v$ may be positive or negative
${\vec a_c}.\vec v$ may be positive or negative
${\vec a_c}.\vec v = 0$
A wheel is rotating at $900\, r.p.m.$ about its axis. When the power is cut-off, it comes to rest in $1\,minute$ . The angular retardation in $radian/s^2$ is:-
When a body moves with a constant speed along a circle
If a body moving in circular path maintains constant speed of $10\,ms^{-1},$ then which of the following correctly describes relation between acceleration and radius ?
A particle revolves round a circular path. The acceleration of the particle is
Two cars $S_1$ and $S_2$ are moving in coplanar concentric circular tracks in the opposite sense with the periods of revolution $3 \,min$ and $24 \,min$, respectively. At time $t=0$, the cars are farthest apart. Then, the two cars will be