Question

a particle is moving with constant speed v along x axis in positive direction find the angular velocity of a particle about the point (0,b), when position of the particle is (a,0). Please show me the diagrammatic representation of this question.

Answer 1

Answer:

$v = \omega \times r = \omega \: r \sin( \alpha ) = \frac{b}{r} \times r \times \omega \\ \omega \: b =v \\ \omega = \frac{v}{b}$

For fast calculation you can remember velocity is angular velocity in to perpendicular distance from axis