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    ......... $\sec$

  • A

    $1$

  • B

    $2$

  • C

    $3$

  • D

    $4$

Similar Questions

When a body moves with a constant speed along a circle

  • [AIIMS 1994]

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

  • [KVPY 2016]

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 .......... $m$

  • [KVPY 2019]