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Jobisdone [24]
2 years ago
10

The sound from a trumpet radiates uniformly in all directions in air with a temperature of 20∘C. At a distance of 5.18 m from th

e trumpet the sound intensity level is 54.0 dB . The frequency is 561 Hz .
What is the pressure amplitude at this distance?
Physics
1 answer:
My name is Ann [436]2 years ago
3 0

Answer:

P=1.44*10^{-2}Pa

Explanation:

The pressure amplitude is given by:

P=\sqrt{2I\rho v

Here, I is the sound intensity, \rho the density of the air and v the speed of air.

The sound intensity can be calculated from:

I=10^\beta I_0

Where \beta is the sound intensity level in bels and I_0 is the reference sound intensity. So, replacing (2) in (1):

P=\sqrt{2(10^\beta) I_o \rho v}\\P=\sqrt{2(10^{5.4})(10^{-14}\frac{W}{m^2})(1.2\frac{kg}{m^3})(344\frac{m}{s})}\\P=1.44*10^{-2}Pa

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