$A$ particle is acted upon by a force of constant magnitude such that its velocity and acceleration are always perpendicular to each other,then its

Two cars of masses $m_1$ and $m_2$ are moving along circular paths of radii $r_1$ and $r_2$ respectively. Their speeds are such that they complete one round in the same time. The ratio of the angular speeds of the two cars is:

The ratio of the angular velocity of the hour hand of a watch to the angular velocity of the rotation of the Earth is:

Motion of a particle in $x-y$ plane is described by a set of following equations $x=4 \sin \left(\frac{\pi}{2}-\omega t\right) \text{ m}$ and $y=4 \sin (\omega t) \text{ m}$. The path of the particle will be:

The figure shows a small wheel fixed coaxially on a bigger one of double the radius. The system rotates about the common axis. The strings supporting $A$ and $B$ do not slip on the wheels. If $x$ and $y$ are the distances travelled by $A$ and $B$ in the same time interval,then

$A$ body performing uniform circular motion completes $140$ revolutions in a second. Its angular speed is .......... $rad/s$.