calculating sound energy?

Question

i know dat sound is a meagre source of energy & its conversion cant be useful for commercial purposes but still i want to know that 1 decibel is equal to how many joules or ergs. i mean i jus wanna measure sound in joules

Answer 1

1db=1.26E-11 Watts/Meter^2
Here is why;

The sound wave generates a pressure analogously to ambient pressure accept as you know it is generated by air disturbance. This pressure is obviously called sound pressure.
The decibels are logarithmic ration between a measured root-mean-square (RMS) value of sound pressure (p) and a reference sound pressure (p0)

DB=20 log (p/p0)

p0= 2×10−5 Pascal (or newtons/meter^2)

The sound intensity is the amount of energy propagating with a particular velocity (v)

Then the sound intensity is

I = p v (Watts/Meter^2)
I0=(10^(-10 ))Watts/meter^2

And I0= p0 v then

DB=10 Log (I/I0)

1db=10 Log (I/I0)
I/I0=10^(.1)= 1.26
I=1.26 (I0)= 1.26 * (10)^-12=
=0.0000000000126=
=1.26E-11 Watts/Meter^2

Answer 2

Sound Energy Formula