A particle is revolving in a circle of radius $2\ m$ with angular velocity $\omega = t^2 -4t + 8\ rad/s$ . The time when speed of the particle becomes $8\ m/s$ is ......... $\sec$
$1$
$2$
$3$
$4$
When a body moves with a constant speed along a circle
The ratio of angular speeds of minute hand and hour hand of a watch is
What is the value of linear velocity if $\overrightarrow r = 3\widehat i + 4\widehat j + 6\widehat k$ and $\overrightarrow \omega = -5\widehat i + 3\widehat j + 5\widehat k$ ?
A particle at a distance of $1 m$ from the origin starts moving, such that $d r / d \theta=r$, where $r$ and $\theta$ are polar co-ordinates. Then, the angle between resultant velocity and tangential velocity is
A ball is moving uniformly in a circular path of radius $1 m$ with a time period of $1.5 \,s$. If the ball is suddenly stopped at $t=8.3 \,s$, the magnitude of the displacement of the ball with respect to its position at $t=0 \,s$ is closest to .......... $m$