Join Date: Jul 2004
Location: the tunnels
Bikes: Soma DoubleCross, Surly Steamroller, various others
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Sounds like you have an ordinary coaster brake hub, no?
Take the wheel off, take a small screwdriver and put it inside of that ring with a break in it, in one of the three slots (you'll see when you do it). Pop that ring off. Pull the sprocket straight off. Install a new one by doing the reverse. Getting the ring back on can be tricky, but use the same small screwdriver and torque it just right, and it will go right back on.
It's a no-brainer once you do it.