A particle is moving with constant speed v along the line y = a in positive x -direction. Find magnitude of its angular velocity about orgine when its position makes an angle `theta` with x-axis.

Explanation

Consider the particle is at point P as shown in the figure . We will resolve its velocity into two components `V cos theta ` , which is radial and outward drom oint O and V sin `theta ` which is perpendicular component

Now , `omega = (V_(bot))/r = (V sin theta )/r `
where `a/r = sin theta `
` rArr r = a /(sin theta ) `
` :. omega = (V sin^(2) theta)/a `