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
$3 : 2$
$5 : 4$
$3 : 5$
$3 : 7$
A cylindrical vessel partially filled with water is rotated about its vertical central axis. It’s surface will
A body is moving with constant speed, in a circle of radius $10 m$. The body completes one revolution in $4 s$. At the end of $3 rd$ second, the displacement of body (in $m$ ) from its starting point is:
The acceleration of a train travelling with speed of $400 \,m/s$ as it goes round a curve of radius $160\,m$, is
A wheel is of diameter $1\ m.$ If it makes $30$ revolution per second, then the linear speed of a point on its circumference will be
A particle moves with constant angular velocity in a circle. During the motion its