Suppose that the sound level of a conversation is initially at an angry 74 dB and then drops to a soothing 54 dB. Assuming that the frequency of the sound is 516 Hz, determine the (a) initial and (b) final sound intensities and the (c) initial and (d) final sound wave amplitudes. Assume the speed of sound is 344 m/s and the air density is 1.21 kg/m3. (a) Number Units (Ь) Number Units (c) Number Units

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Suppose that the sound level of a conversation is initially at an angry 74 dB and then drops to a soothing 54 dB. Assuming that the
frequency of the sound is 516 Hz, determine the (a) initial and (b) final sound intensities and the (c) initial and (d) final sound wave
amplitudes. Assume the speed of sound is 344 m/s and the air density is 1.21 kg/m.
(a) Number
Units
(b) Number
Units
(c) Number
Units
(d) Number
Units
Transcribed Image Text:Suppose that the sound level of a conversation is initially at an angry 74 dB and then drops to a soothing 54 dB. Assuming that the frequency of the sound is 516 Hz, determine the (a) initial and (b) final sound intensities and the (c) initial and (d) final sound wave amplitudes. Assume the speed of sound is 344 m/s and the air density is 1.21 kg/m. (a) Number Units (b) Number Units (c) Number Units (d) Number Units
Expert Solution
Step 1

Given data:

The initial sound level is,

I1 =74 dB

The final sound level is,

I2= 54 dB

The frequency of the sound is,

f= 516 Hz

The density of air is,

ρ= 1.21 kg/m3

The velocity of sound in air is,

v =344 m/s

Formula used:

Sound level is given as,

β= 10 dBlogII0

The intensity of the sound is given as,

I = 12ρvω2Sm2I = 2π2ρvf2Sm2

Where,

ρ- Density of air

f- frequency of sound

v- Velocity of sound in air

 

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