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

An annular ring with inner and outer radii $R_{1}$ and $R_{2}$ is rotating with a uniform angular speed $\omega$ about its central axis. The ratio of the centripetal forces experienced by two particles of equal mass $m$ situated on the inner and outer parts of the ring,$\frac{F_{1}}{F_{2}}$ is

Write the equations for centripetal acceleration and centripetal force for uniform circular motion.

Find the angular speed of the hour hand of a clock.

$A$ particle $P$ moves in a circle of radius $a$ with a constant speed $v$. $C$ is the center of the circle,and $AB$ is a diameter. When the particle passes through point $B$,what is the ratio of its angular velocity with respect to $A$ and $C$ respectively?

$A$ motor shaft rotates at a constant angular velocity of $3000$ revolutions per minute. Through what angle (in radians) will it rotate in $1$ second?