If a ship is capable of continuous 1g acceleration then it shouldn't be designed with rotating centrifugal rings for gravity. Instead, design the ship with the floor towards the engine and travel at a constant 1g to wherever it is that you're going. Decelerate at the same speed.
Is this 9.8m/s2? So after 1 year at this is 3.156e7*9.8/1000*3600km/h ? Assuming it's just moving in space away from any massive objects in a straight line...1 billion km/h. Isn't it too fast?
EDIT:
I echo the comment that it's useful to play around with the relativistic rocket calculators available online. TLDR: If you could actually make an engine that accelerated your spaceship at 1G continuously, that's really all you need. It's good enough for human life scale trips pretty much anywhere. You could travel the diameter of the milky way (approx. 100K light years) in 22.5 years of ship time, including deceleration to stop at the other end. Want to get to the Andromeda galaxy? 28.6 years of ship time. Of course, everything you know back home will be millions of years gone by the time you get to your destination.