You need a motor with gear reduction. Search for "DC gear motor". Look for one that's around 50 rpm.
diyelectronics
Might actually go for 25 RPM after seeing a visual representation of what that looks like, otherwise even at this speed the cats just kind of sat there getting whacked in the face. If I get a 25RPM motor is it a guarantee that's the speed it'll be or is there some variables with the load?
The motor should run pretty close to its rated speed if it's not hitting anything.
I'm sorry, but I giggled at the thought of a poor cat just getting smacked in the face with a feathery toy at high speed and it just being all "whuh???"
You're right to giggle, they stand there all confused until it gets to like 4 bops and finally decide to get out of there.
They're dumb but we love them.
The torque of turning the toy and the speed in that video mean you probably need a gear reduction or a motor/motor kit with lower rpm and higher torque.
Something close to 3-5+ Kg.cm (higher is better) is probably going to work better and keep in mind rpm or rotations per minute should be a lot lower than 12,000 for your use.
I actually do like the speed it's going at but yeah, when there's no load its crazy fast, I'll see what kind of motors I can get my hands on