stone is tied to one end of a string $50\, cm$ long is whirled in a horizontal circle with a constant speed. If the stone makes $10$ revolutions in $20\, s$, what is the magnitude of acceleration of the stone ......... $cm/s^2$
$493$
$720$
$860$
$990$
A particle is moving with a constant speed $v$ in a circle. What is the magnitude of average velocity after half rotation
A stone of mass $0.3\,kg$ attached to a $1.5\,m$ long string is whirled around in a horizontal circle at a speed of $6\,m s ^{-1}$. The tension in the string is $............\,N$
Three point particles $P, Q, R$ move in circle of radius $‘r’$ with different but constant speeds. They start moving at $t = 0$ from their initial positions as shown in the figure. The angular velocities (in rad/ sec) of $P, Q$ and $R$ are $5\pi , 2\pi$ & $3\pi$ respectively, in the same sense. the number of times $P$ and $Q$ meet in that time interval is:
A smooth wire of length $2\pi r$ is bent into a circle and kept in a vertical plane. A bead can slide smoothly on the wire. When the circle is rotating with angular speed $\omega$ about the vertical diameter $AB$, as shown in figure, the bead is at rest with respect to the circular ring at position $P$ as shown. Then the value of $\omega^2$ is equal to
A conical pendulum of length $1\,m$ makes an angle $\theta \, = 45^o$ w.r.t. $Z-$ axis and moves in a circle in the $XY$ plane.The radius of the circle is $0.4\, m$ and its centre is vertically below $O$. The speed of the pendulum, in its circular path, will be ..... $m/s$ (Take $g\, = 10\, ms^{-2}$)