The figure shows a body of mass $m$ moving with a uniform speed $v$ along a circle of radius $r$. The change in velocity in going from $A$ to $B$ is

$A$ 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:

$A$ particle moves in the $x-y$ plane according to the rules $x = a \sin \omega t$ and $y = a \cos \omega t$. The particle follows:

What is the linear velocity of a particle in uniform circular motion of radius $A$ and angular velocity $\omega$?

If the kinetic energy $(KE)$ of a particle of mass $m$ performing uniform circular motion $(UCM)$ in a circle of radius $r$ is $E$,find the acceleration of the particle.

An aeroplane is flying with a uniform speed of $100\, m/s$ along a circular path of radius $100\, m$. The angular speed of the aeroplane will be ......... $rad/s$.