A special case of a mass is connected to a fixed piont and moves on a circular path problem

A point mass $m$ is connected by a massless rod of length $l$ to a fixed point of support, now consider the mass moves on a circular path, rod has constant angle $θ$ with $e$ vertical, what’s the angular velocity of motion around the circle.

If the $θ$ is constant, which is not change with time, should the angular velocity be zero? I think it should not be that simple!