If the length of the second's hand in a stop clock is $3 \,cm$ the angular velocity and linear velocity of the tip is

A particle is moving on a circular path of radius $r$ with uniform velocity $v$. The change in velocity when the particle moves from $P$ to $Q$ is $(\angle POQ = 40^\circ )$

A particle is tied to $20\, cm$ long string. It performs circular motion in vertical plane. What is the angular velocity of string when the tension in the string at the top is zero  ........ $rad/sec$

Shown here are the velocities and acceleration vectors for a man in several different types of motion. In which case is the man slowing down and turning to the right

Two spheres $P$ and $Q$ of equal masses are attached to a string of length $2\,\, m$ as shown in figure. The string and the spheres are then whirled in a horizontal circle about $O$ at a constant rate. What is the value of the ratio
$\left( {\frac{{{\text{Tension in the string between P and Q}}}}{{{\text{Tension in the string between P and O}}}}} \right)?$

In circular motion, the centripetal acceleration is given by