Powering non-speaker appliances with an amp

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I just have a hypothetical I was thinking about. Say you have a high powered amp in the range 2000-3000 watts. If you fed the amp with the appropriate 50Hz/60Hz signal could you power an appliance, like a drill, by connecting it to the speaker output? Is there something fundamentally different about speakers that this wouldn't work?

If this is too extreme then scale it down to something that just requires a 15VAC power source, like a fan.
 
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