Sound Level Workset Name Sdverstone PH105 Spring 2018 Show all math stops and wr

Question

Sound Level Workset Name Sdverstone PH105 Spring 2018 Show all math stops and write wnis wi The sound level in decibels is given by Sound Level Exercise ?-10 where / is the intensity in W/mi and A 10 w I. If a sound level is 0 dB, does this mean tut there is no sound? Explain. 2. Does negative dB have meaning? Explain 3. The intensity of a sound from a motorcycle is twice that of a certain car in W/m2. What is the difference in the sound levels in decibels? 4. If you double your distance from a spherical source of sound, by how much do you reduce the sound level in dB? (Assume that /varies as ii)

Explanation / Answer

1) If I is the intensity of sound,

then,

sound intensity level, beta = 10*log(I/Io)

0 = 10*log(I/10^-12)

0 = log(I/10^-12)

10^0 = I/10^-12

1 = I/10^-12

I = 10^-12

so, o dB means Intensity of sound is 10^-12 W/m^2

2) Yes. negative decible means the sound intensity is less than 10^-12 W/m^2 which can not be heard by human year.

3) given I2 = 2*I1

difference between sound intensity levels,
beta2 - beta1 = 10*log(I2/Io) - 10*log*(I1/Io)

= 10*log(I2/I1)

= 10*log(2*I1/I1)

= 10*log(2)

= 3.01 dB

4) if distance is doubled intensity becomes 1/4 times

I2 = I1/4

beta1 - beta2 = 10*log(I1/Io) - 10*log*(I2/Io)

= 10*log(I1/I2)

= 10*log(I1/(I1/4))

= 10*log(4)

= 6.02 dB

so, the sound intensity level reduces by 6.02 dB

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