0.783 radians/second, sorry about that type.
Pardon me, I got that backwards, the tangential velocity would be lower at smaller radii, but the anguler velocity gets much higher. And there is a "comfort zone" for rotational gravity. At the 16 metre radius that mounting it inside the hull would bring, that would give an angular velocity of 0.283 radians/second, which is well outside the human comfort zone.
But having the ring too close or mounted inside the hull would be impractical also, because the cetripetal acceleration can be expressed as a=V^2/r Which means that, to simulate the gravity of earth, an acceleration of 9.81 m/s^2 is required, thus as you decrease the radius of rotation, the velocity has to increase as well, with a very short radius the habitation ring would be spinning at insane speeds
what you could do is add a cover to the ring. it would manifest as a large bulge in the hull and would provide the same targeting benefits as the origonal ring.. also a ring that elongated would be impratical.
good luck firing acuratly from the edge of a spinning ring. also, the ring could easily be shot off or jammed by enemy fire.
But it provides a place to mount turrets that is elevated from the hull to provide better field of fire.
on a warship, a habatation ring is highly impratical. i suggest making it smaller and moving it inside the ship.