Problem #3 (42 points) Show your work! Mary is at a gathering where there is a clarinet player in the background. The clarinets is a pipe open on one end, and has a length L = 35 cm. The clarinet emits sound waves with the oscillation pattern shown in the figure. The speed of sound in air is v₁ = 343 m/s, and the density of air is p= 1.293 kg/m³. L (a) (5 pts) What is the frequency of this pattern in Hertz? What is the angular frequency? (b) (5 pts) When Mary is at a distance of r = 3 m, as shown in the figure, the sound level she hears is 67 dB, what is the intensity of the sound at that distance? (c) (5 pts) What is the displacement amplitude of the wave at 5 m, where Mary is standing in part (b)? (d) (3 pts) What is the pressure amplitude of the wave at 5 m?

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Problem #3 (42 points) Show your work!
Mary is at a gathering where there is a clarinet player
in the background. The clarinets is a pipe open on one
end, and has a length L = 35 cm. The clarinet emits
sound waves with the oscillation pattern shown in the
figure.
The speed of sound in air is v₁ = 343 m/s, and the
density of air is p= 1.293 kg/m³.
L
(a) (5 pts) What is the frequency of this pattern in Hertz? What is the angular frequency?
(b) (5 pts) When Mary is at a distance of r = 3 m, as shown in the
figure, the sound level she hears is 67 dB, what is the intensity of
the sound at that distance?
(c) (5 pts) What is the displacement amplitude of the wave at 5 m, where Mary is standing in part (b)?
(d) (3 pts) What is the pressure amplitude of the wave at 5 m?
Transcribed Image Text:Problem #3 (42 points) Show your work! Mary is at a gathering where there is a clarinet player in the background. The clarinets is a pipe open on one end, and has a length L = 35 cm. The clarinet emits sound waves with the oscillation pattern shown in the figure. The speed of sound in air is v₁ = 343 m/s, and the density of air is p= 1.293 kg/m³. L (a) (5 pts) What is the frequency of this pattern in Hertz? What is the angular frequency? (b) (5 pts) When Mary is at a distance of r = 3 m, as shown in the figure, the sound level she hears is 67 dB, what is the intensity of the sound at that distance? (c) (5 pts) What is the displacement amplitude of the wave at 5 m, where Mary is standing in part (b)? (d) (3 pts) What is the pressure amplitude of the wave at 5 m?
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