Dave, awesome post. Like others, i took all day to get through this but you're bang on. I haven't studies sound engineering but have spent many years installing audio, including car stereo (Morley Hi-Fi and Micro Electronics), home theatre (electrical contractor with a West Coast Hi-Fi contract) and finally commercial sound systems in bars and clubs etc.
The keys to power are exactly as you said and i have always been told to work our the needs of a venue then double it so the amp racks are essentially idling when in use. A couple of notes i would add include checking out the given Total Harmonic Distortion (THD) specification vs RMS power and also remember the power supply is critical to the peak performance requirements we are seeking.
Have a look at the specs on this Alpine Mono Block amp as an example-
Specifications
CEA-2006 Power Rating (40hm @ 14.4V = 1%THD+N), S/N 80dBA (Ref. 1W into 4Ohm): 1000W x 1
RMS Power (at 14.4V THD+N,20Hz-200Hz)
Per channel into 2 ohms : 1000W x 1 (<=1%THD+N)
Per channel into 4 ohms : 1000W x 1 (<=1%THD+N)
Dimensions
Heat Sink (WxHxD) in: 10-1/8" x 7-9/16" x 2-7/16"
Heat Sink (WxHxD) mm: 257mm x 192mm x 62mm
Bass Engine®
Crossover Frequency : 50Hz-200Hz, -24dB oct (LP)
General
Input Sensitivity (For Rated Power): 0.1 V to 8.0V
Input Impedance: 10k Ohm
Power Requirements: 14.4V DC (11V to 16V)
Speaker Impedance: 4 or 2 ohm
Frequency Response: 20Hz-200Hz (20Hz/-3dB)
Signal to Noise (S/N): 110dBA (Reference to Rated Power)
- See more at: http://www.alpine.com.au/showItem.ph....HZlb9G1U.dpuf
A couple of the keys here are that the RMS rating is given for a consistent 14.4VDC supply with a 1% THD (plus noise) and the frequency response is only quoted at 200hZ maximum so i take it there is some fudge factor in this amps performance. Even so, i bet this amp does very well connected to a sub woofer!
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