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I think the reason for that is that it's a pretty low number. I know you probably would rather have more than an educated guess, but I believe the power to be in the area of 20-25 Watts to the front Bose (they are amplified separately), and about 10 Watts to the back. I will search for some posts by 99HT - I thought he had the numbers.
The head unit internal power amp is about 15-18 watt rms/ch and drives the 4 front and rear Bose midrange/highs speakers called Twiddlers. The rear Twiddlers are 5.25" and the fronts are 3.5". The Bose system has no true tweeters.
The shop book rates the total power as 252 watts, each door power amp for the large speaker is rated at 100 watts. Both 100 watt amps are fed with a common 20 amp fuse so 12 volts x 20 amps max = 240 watts of feed power. 240 watts x 80% efficiency = 192 watts peak or close to the rating on the amps. Of course the total power output is only one aspect of the total system performance.
The real power depends on what distortion rating and frequency you want to use. An amp can put out more power when run at 10% distortion than at say .1%.
This is a rough estimate. The 4 channel internal AB power amp in the HU is about 14 -18 wrms/ch into a 4 ohm speaker. This amp drives the four Bose Twiddlers. The door class D sub amps are about 35 to 45 wrms each into a 2 ohm speaker. Each sub amp drives a 2 ohm Bose reverse cone sub woofer. Since the Bose system has no DC to DC converter like an aftermarket power amp would, the amps are running directly off the alternator's 14 volts.
Calculations:
Class AB balanced amp powered by 14 volts and driving a 4 ohm speaker
Assume voltage swing out of the + and - output of the amp to be roughly 11 volts peak to peak. Convert p-p to rms.
(11/2).707 = 3.9 vrms
A balanced amp design provides 2x the voltage swing to a speaker.
2(3.9) = 7.8 vrms
Power into a 4 ohm speaker
(Vrms*Vrms)/R
(7.8*7.8)/4 = 15 wrms
Class D balanced amp powered by 14 volts and driving a 2 ohm speaker
Assume voltage swing out of the + and - output of the amp to be roughly 13 volts peak to peak. Convert p-p to rms.
(13/2).707 = 4.6 vrms
A balanced amp design provides 2x the voltage swing to a speaker.