Question

the intensity of sound at a construction site is 0.10 W/m^2. If the area of the eardrum is 0.20 cm^2, how much sound energy is absorbed by one ear in an 8-h workday? Represent mathematically the intensity I of the sound, the area of the eardrum, and the time interval

Answer 1

0.058 J

Step-by-step explanation:

The power of the sound is given by

`P=AI`

where A is the area and I is the intensity.

Energy is given by

`E = P\cdot t`

where t is the time.

(All units are SI units)

Hence,

`E = AIt`

`E = (0.20* 10^(-4)\ \text{m}^2)(0.10\ \text{W/m}^2)(8*60*60\ \text{s}) = 0.058\ \text{J}`