If speed of a particle moving in a circle of radius $2\,m$ is given as $v = 2t + 2$, then its centripetal acceleration after $1\, s$ will be ......... $m/s^2$
$8$
$4$
$2$
$\sqrt {68}$
A particle is revolving in a circular path of radius $25 \,m$ with constant angular speed $12 \,rev/min$. Then the angular acceleration of particle is .......... $rad / s ^2$
If the length of the second's hand in a stop clock is $3 \,cm$ the angular velocity and linear velocity of the tip is
The angular velocity of a wheel is $70\, rad/sec$. If the radius of the wheel is $0.5\, m$, then linear velocity of the wheel is ....... $m/sec$
An object moving in a circular path at constant speed has constant
Two cars of masses $m_1$ and $m_2$ are moving in circles of radii $r_1$ and $r_2$, respectively. Their speeds are such that they make complete circles in the same time $t$. The ratio of their centripetal acceleration is