In: Physics
If 300 m away from an ambulance siren the sound intensity level is 65 dB, what is the sound intensity level 30 m away from that ambulance siren? Specify your answer in units of decibel (dB).
Initial distance from the ambulance siren = R1 = 300 m
Sound level intensity of the ambulance siren at a distance of 300 m = 1 = 65 dB
Sound intensity of the ambulance siren at a distance of 300 m = I1
I1 = 3.162 x 10-6 W/m2
New distance from the ambulance siren = R2 = 30 m
Sound intensity of the ambulance siren at a distance of 30 m = I2
The sound is distributed equally in a spherical manner therefore,
I2 = 3.162 x 10-4 W/m2
Sound level intensity of the ambulance siren at a distance of 30 m = 2
2 = 85 dB
Sound level intensity of the ambulance siren at a distance of 30 m = 85 dB