Question

What is the pressure ratio for a sound that is 90 dB SPL?

Answer 1

Solution:

To calculate the pressure ratio for a sound for measuring sound, we use the following logarithmic formula of Sound Pressure Level  (SPL):

SPL = $20\log_{10}\frac{p}{p_{ref}} dB$

where,

p = pressure to be measured

$p_{ref}$ = reference pressure

$\frac{90}{20}$ =  $\log_{10}\frac{p}{p_{ref}} dB$

$10^{4.5}$ =  $\frac{p}{p_{ref}}$

pressure ratio is :

$\frac{p}{p_{ref}}$ = $3.16\times 10^{5}$