Question

A loudspeaker on a pole is radiating 600 W of sound energy in all directions. You are walking directly toward the speaker at 0.70 m/s. Assume you are 20 m away. What is the rate (dB/s) at which the sound intensity level is increasing? Hint: Use the chain rule and the relationship og 10 T=lnx/ln10

Answer 1

the rate (dB/s) at which the sound intensity level is increasing is 3.87 db/sec.

Calculation :

ρ = 600 W

v = 0.60 m/sec

β = 10db.log($\frac{I}{10^{-2} }$)

= 10db.log($\frac{600}{4\pi (20 )^{2}10^{-2} }$)

= 10db.log(0.11*10¹²)

= 110.7 db

Time = d/v = 20/0.70 = 28.57 sec

dB/dt = 110.7/28.57  = 3.87 dB/sec

Intensity is the amount of energy a wave transports over an area of ​​unit area per unit time and is also equal to the energy density multiplied by the wave velocity. Usually measured in watts per square meter. Intensity depends on wave strength and amplitude.

Intensity is the degree, volume, or size of something that: B. Fire, emotions, weather, work, or passion. Intensity is a word associated with passion, fire and violence. Used when talking about levels of love, fire, etc.

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