What’s that rough calculation based on?
Is it dBA, dBC, peak, or average levels?
Let's assume it's dBA average then, since you referred to it as similar to a "LIVE ROCK concert!"
Let's also assume 15 dB headroom for peaks, which is conservative.
- Sensitivity of the Speaker
Let’s assume the speaker sensitivity is 85 dB at 1 watt, 1 meter. This means:
- At 1 watt of power, the speaker outputs 85 dBA at 1 meter.
- With every 3 dB increase in SPL, we need to double the power.
- Calculating the Average Power for 95 dBA at 1 Meter
Starting from 85 dBA at 1 watt, let’s calculate the power needed to reach 95 dBA:
- 85 to 88 dBA: 2 watts (doubling from 1 watt).
- 88 to 91 dBA: 4 watts.
- 91 to 94 dBA: 8 watts.
- 94 to 95 dBA: approximately 10 watts.
- So, reaching 95 dBA average SPL at 1 meter requires approximately 10 watts of amplifier power. All is well so far.
- Calculating the Power Needed for Peaks 15 dB Higher (110 dBA)
To achieve peaks 15 dB above this 95 dBA average level (i.e., 110 dBA), we need to add 15 dB, which translates to an increase of approximately 32 times the powerof the average level:
- 95 to 98 dBA: 20 watts.
- 98 to 101 dBA: 40 watts.
- 101 to 104 dBA: 80 watts.
- 104 to 107 dBA: 160 watts.
- 107 to 110 dBA: 320 watts.
- Therefore, an amplifier would need to be capable of delivering about 320 watts to hit those 110 dBA peaks cleanly without distortion. (Whoopsy!)
- Adjusting for Listening Distance (e.g., 3 Meters)
Sound level decreases by about 6 dB when you double the distance. If the listener is 3 meters away, we would experience a drop of around 9-10 dB compared to the 1-meter level:
- To achieve 95 dBA average at 3 meters, you’d need approximately 10 dB more power than calculated for 1 meter, or around 100 watts.
- To allow for 110 dBA peaks at 3 meters, the amplifier would need to deliver roughly 1,000 watts. (Double whoopsy!)
*I didn’t address the impact of using two speakers in the previous explanation. However, to keep things balanced, I also used a conservative estimate for dynamic headroom.
*I also didn't address what the need would be with bass-heavy program material as this is kept in dBA. dBC values might see additional 10-15 dB for the transients.
So, what can we conclude? I think it's fair to say that the true loudness and demands of a 95 dBA average level can be surprising, and it’s easy to underestimate. No offense intended -most people aren’t fully aware of just how intense that level actually is.
Oh, and naturally, we can conclude that the amplifier in question is unlikely to handle most of the demands described above.