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Re: Remote operation of motors
You could use a relay near the motor to control it and have the switch for the relay in your control booth. Relays are inexpensive, and you would only need 100ftX2 of thin-gauge wire. You could run the motor's power wire 100ft, but there would be a large amount of voltage loss, even in thick-gauge wire.
There are numerous AC-to-DC converters available fairly inexpensively, a quick search reveals many sub-$30 options on google products. I assume your stage lights are powered with AC electricity, perhaps if you connected the AC-DC converter to something already linked to lighting control you'd be done.
Bear in mind that if you used a CIM motor you would have vibrations in the 90hz range, which might be fine. You'll also need a good bit of eccentirc mass, relative to the table, to get it thrashing around and not just vibrating. The large side-loads could damage the motor.
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