The old record players used wheels and belts to achieve the lower rpms. the motors turned much faster.

Motors in the rpm range you want are fairly easy to come by. I've bought from a John Fleisher who sells complete rod turners for under $30 and motors for a lot less he can be reached at (714) 957-6138. He's a good guy to do business with.

You can find a lot of motors at surplus places on the Internet but but buying from someone like John means you are getting something that will work for the purpose you want. He's a rod builder.

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Joe