The angle between velocity and acceleration of a particle describing uniform circular motion is (in $^{\circ}$)

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:

$A$ particle moving with uniform speed in a circular path maintains:

If a particle is moving on a circular path with constant speed,then the angle between the direction of acceleration and its position vector w.r.t. the centre of the circle will be ............

$A$ particle is moving in a circle with uniform speed. Its motion is

Write the equation for centripetal acceleration in uniform circular motion. Obtain these equations in terms of angular velocity $(\omega)$ and frequency $(\nu)$.