The ratio of angular speeds of minute hand and hour hand of a watch is
$1:12$
$6:1$
$12:1$
$1:6$
A particle moves in a circle of radius $25\,cm$ at two revolutions per sec. The acceleration of the particle in $m/s^2$ is
If the body is moving in a circle of radius $ r$ with a constant speed $v$, its angular velocity is
An aeroplane is flying with a uniform speed of $100\, m/s$ along a circular path of radius $100 m$. the angular speed of the aeroplane will be ......... $rad/sec$
The acceleration of a train travelling with speed of $400 \,m/s$ as it goes round a curve of radius $160\,m$, is
A string of length $L$ is fixed at one end and carries a mass $M$ at the other end. The string makes $2/\pi$ revolutions per second around the vertical axis through the fixed end as shown in the figure, then tension in the string is