A particle $P$ is moving in a circle of radius $'a'$ with a uniform speed $v$. $C$ is the centre of the circle and $AB$ is a diameter. When passing through $B$ the angular velocity of $P$ about $A$ and $C$ are in the ratio
$1:1$
$1:2$
$2:1$
$4:1$
A particle revolves round a circular path. The acceleration of the particle is
A particle moves so that its position vector is given by $\overrightarrow {\;r} = cos\omega t\,\hat x + sin\omega t\,\hat y$ , where $\omega$ is a constant. Which of the following is true?
The net applied force on a body in uniform circular motion should always be
The length of second's hand in a watch is $1 \,cm.$ The change in velocity of its tip in $15\, seconds$ is
A car changes speed from $18\,km/h$ to $36\,km/h$ in $5\,s$. The diameter of its wheel is $0.8\,m$ . The angular acceleration of the wheel is ........ $rad/s^2$