IF you want the rotational speed to be relatively constant, the drive torque available at the desired speed, must be much higher than the load torque due to the offset weight and radius otherwise the speed will cycle with the position of the center of mass.
You can compute the equivalent mass and radius from your dimensions to get kg-m of load torque.
Motor torque is increased by the gear ratio, but power is constant minus gear loss and torque is limited by current drive and limit of motor.
Gear ratio converts the motor RPM to your desired RPM. You can adjust speed by reducing applied voltage from 30~100% using a PWM for efficient voltage regulation and speed control, unless you are lucky enough to find the right match.
The limiting current is called the "Stall Current " which is the drive voltage, I_stall= V / ESR (ESR=effective series resistance of the coils & driver.)
Power = Torque * RPM/60.
Since you omitted the details of the hole radius and offset, you can work this out.