Question

In a pig caller can produce a sound intensity level of 107 dB. How many pig callers would be needed to generate an intensity level of 120 dB, assuming each caller can individually produce a sound intensity level of 107 dB

Answer 1

Answer:

20 pig callers

Explanation:

Given that:

A pig caller produced intensity level of  a sound = 107 dB

To find how many pig callers required to generate an intensity level of 120 dB;

we have:

120 dB - 107 dB = 13 dB

Taking the logarithm function;

$10 \ log \bigg(\dfrac{I}{I_o} \bigg) = 13 \ dB$

where;

$I_o$ = initial intensity

$log \bigg(\dfrac{I}{I_o} \bigg) = 1.3$

$\dfrac{I}{I_o}= 10^{1.3 }$

I = 19.95$I_o$

I ≅ 20 pig callers