Should I have my speaker at max volume?
TL;DR If it is clipping, it is too loud
As long as the amplifier is not distorting, and is matched to the wattage of the speaker it should be fine. The two main things that kill speakers is heat, and over-extension of the diaphragm (bottoming out). If you turn it up high enough that you hear clipping or distorting, it means the the sound signal is more closely resembling a square wave rather than a sine wave, which damages the speaker in two ways: 1) the speaker voice coil needs to dissipate more heat, as the square wave typically carries about 1.4x the amount of power for the same amount of movement (sound output) in the speaker. This power is dissipated as heat in the coil, and 2) the voice coil does not cool down as effectively, since for the majority of the time for a square wave (especially in bass sounds) the diaphragm isn't moving which in turn limits the movement of the air behind the diaphragm to cool the coil. This melts the glue holding the coil together and "blows" your speaker.
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