An object is moving on a circular track of radius $450\, m$. At some instant, the object is moving at $30\, m/s$ and gaining speed at a uniform rate of $2 m/s^2$. Its acceleration at this instant is nearly  .......... $m/s^2$

Three particle $A, B$ and $C$ move in a circle of radius $r = \frac{1}{\pi }\,m$, in anticlockwise direction with speeds $1\, m/s$, $2. 5\, m/s$ and $2\, m/s$ respectively. The initial positions of $A, B$ and $C$ are as shown in figure. The ratio of distance travelled by $B$ and $C$ by the instant $A, B$ and $C$ meet for the first time is

A grinding wheel attained a velocity of $20\,rad/sec$ in $5\,sec$ starting from rest. Find the number of revolution made by the wheel

$Assertion$ : Centripetal and centrifugal forces cancel each other.
$Reason$ : Centrifugal force is a reaction of centripetal force

If a particle is moving on a circular path with constant speed, then the angle between the direction of acceleration and its position vector w.r.t. centre of circle will be ............ 

A car is moving with speed $30$ $m/\sec $ on a circular path of radius $500\, m$. Its speed is increasing at the rate of $2m/{\sec ^2},$ What is the acceleration of the car ........ $m/sec^2$