An electric fan has blades of length $30 \,cm$ as measured from the axis of rotation. If the fan is rotating at $1200\,$ r.p.m. , the acceleration of a point on the tip of the blade is about .......... $m/sec^2$
$1600$
$4740$
$2370$
$5055$
The linear speed of the tip of seconds hand of a wall clock is $1.05\,cm\,s^{-1}.$ The length of the seconds hand is nearly ........ $cm$
A particle moves in $x-y$ plane according to rule $x = {\rm{asin}}\omega t$ and $\;y = {\rm{acos}}\omega t$. The particle follows
A particle moves in a circular path with decreasing speed. Choose the correct statement.
A ball of mass $( m )=0.5 \ kg$ is attached to the end of a string having length $(L)$ $=0.5 m$. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is $324 \ N$. The maximum possible value of angular velocity of ball (in radian/s) is
What is uniform circular motion ? By using proper figure, obtain equation of acceleration ${a_c}\, = \,\frac{{{v^2}}}{r}$ for uniform circular motion. Show that its direction is towards centre.