smrtby123
100+ Head-Fier
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- Jan 4, 2009
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This is little note that I thought sci/eng nerds/majors like me might be into.
We were going over pressure measurements in my ME measurements class and the prof was defining dB's in terms of pressure. Calculating dB's follows this equation:
dB = 20log(10)(Pressure/2e-5 Pa)
Converting common dB's to Pascals/psi
60 dB = 0.02 Pa = 3e-6 psi (micropsi)
(Atmospheric pressure is 101kPa/14 psi, so it shows you just how sensitive your ears really are)
85 dB = 0.36 Pa = 5e-5 psi
100 dB = 2 Pa = 3e-4 psi
140 dB = 200 Pa = 0.03 psi
If you take the eardrum area to be about 0.55 cm^2 (0.09 in^2)
the force on your ear is only about 0.04 ounces but we're talking about a membrane that is most likely only a few micrometers thick (couldn't find any data online) so its quite a bit for it.
You can see how fast the pressure ramps up quickly, even a difference of 5 dB's makes a big difference on a log scale.
So watch your volume knob!!
We were going over pressure measurements in my ME measurements class and the prof was defining dB's in terms of pressure. Calculating dB's follows this equation:
dB = 20log(10)(Pressure/2e-5 Pa)
Converting common dB's to Pascals/psi
60 dB = 0.02 Pa = 3e-6 psi (micropsi)
(Atmospheric pressure is 101kPa/14 psi, so it shows you just how sensitive your ears really are)
85 dB = 0.36 Pa = 5e-5 psi
100 dB = 2 Pa = 3e-4 psi
140 dB = 200 Pa = 0.03 psi
If you take the eardrum area to be about 0.55 cm^2 (0.09 in^2)
the force on your ear is only about 0.04 ounces but we're talking about a membrane that is most likely only a few micrometers thick (couldn't find any data online) so its quite a bit for it.
You can see how fast the pressure ramps up quickly, even a difference of 5 dB's makes a big difference on a log scale.
So watch your volume knob!!