Respuesta :
Answer is Energy = 0.00144J .
You can use the relationship:
I(dB)=10log(i1/i2)
Where i2 = 10 ^ -12 w/[tex]m^{2}[/tex] represents the intensity just audible (corresponding to 0dB) So:
90=10log([tex]I/10^{-12[/tex])
; power 10 both sides and rearrange:
I=0.001 W/[tex]m^{2}[/tex]
But Watts=(Joules)/(seconds) and 8hours = 28800 sec
and Area =πr2 =5×[tex]10^{-5[/tex][tex]m^{2[/tex]
Finally: Energy=0.001⋅28800⋅5×[tex]10^{-5[/tex]=0.00144J
What exactly is sound intensity?
The power carried by sound waves per unit area in a direction perpendicular to that region is known as sound intensity or acoustic intensity. The watt per square meter (W/m2) is the SI unit of intensity, which also covers sound intensity. One use for this technology is to measure the amount of sound energy present in the air near a listener.
Sound pressure and sound intensity are two different physical quantities. Sound pressure, which is correlated with sound intensity, is sensitive to human hearing. While level disparities are referred to as "intensity" differences in consumer audio electronics, sound intensity is a precisely defined quantity that cannot be detected by a straightforward microphone.
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The Energy in joules , fall on 0.975cm diameter eardrum = 0.00144J .
Evaluating :
I(dB)=10log(i1/i2)
Where i2 = [tex]10^{-12}[/tex] w/ m² represents the intensity just audible (corresponding to 0dB) So:
90=10log([tex]I /10^{-12}[/tex])
power 10 both sides and rearrange:
I=0.001 W/m²
But Watts=(Joules)/(seconds) and 8hours = 28800 sec
and Area =πr² = 5×[tex]10^{-5}m^{2}[/tex]
Finally:
Energy=0.001⋅28800⋅5× [tex]10^{-5}[/tex] =0.00144J
What is a time period in sound?
The time taken to complete one vibration in the density of the medium is called the time period of the sound wave. It is represented by the symbol T. Its SI unit is second (s).
What is intensity of sound energy?
Sound intensity is defined as the proportion of energy that flows per unit time across a unit area perpendicular to the direction of travel of such sound waves. Sound intensity is denoted by “I”. The SI unit of sound intensity is W / m² .
Formula: I = P A
How can sound intensity be increased?
As distance from the sound source increases, the area covered by the sound waves increases. The same amount of energy is spread over a greater area, so the intensity and loudness of the sound is less
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