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A rock concert is held outside. The slightly elevated stage holds a number of speakers that have a total power output of 400π Watts. Assume the sound travels outward in a spherical shell and that any sound that hits the crowd sitting on the ground is totally absorbed. Further we know that the density of air is 1.20 kg/m3, the speed of sound is 343 m/s and the area of observer 1's eardrum is 1.00 x 10-4 m2.

Determine the following:

1
The sound intensity (I) heard by listener 1 sitting 100 m away
2
The sound intensity level (β) heard by observer 1
3
The distance of observer 2 from the speakers in order for her to hear sound 1/16 the intensity of that heard by observer 1
4
The sound intensity level (β) heard by observer 2
5
The distance of observer 3 from the speakers in order for him to hear a sound intensity level 0.800 of that heard by observer 1
6
Distance an usher should seat a person with a 20.0 dB hearing impairment if that person wants to hear the concert at the 80.0 dB level
7
The pressure amplitude at the site of observer 1 when the frequency of the sound is 1000 Hz
8
The displacement amplitude at the site of observer 1 when the frequency of the sound is 1000 Hz
9
The maximum force of the eardrum of observer 1 when the frequency is 1000 Hz

An organ pipe open at both ends is 1.00 m long and is in a room where the temperature of the air is 23.0° C. The frequency of its third standing wave mode is 510 Hz.

Determine the following:

10
Speed of sound in the room
11
Wavelength of the standing longitudinal wave set up in the pipe when the air in it is vibrating in its third standing wave mode
12
Fundamental frequency for this pipe
13
Wavelength for the fifth standing wave mode
14
Length of a pipe closed at one end that has a fundamental frequency equal to the frequency of the third standing wave mode of the pipe open at both ends
15
Length of a pipe closed at both ends that has the frequency of its forth standing wave mode equal to the frequency of the third standing wave mode of the pipe open at both ends

A tuning fork of frequency 500 Hz is moved away from an observer and toward a flat wall with a speed of 2.00 m/s. Assume the speed of sound in air is 340 m/s.

Determine the following:

16
Apparent frequency of the sound waves coming directly to the observer from the tuning fork
17
Apparent frequency of the sound waves coming to the observer after being reflected off of the wall
18
The number of beats heard by the observer

If in addition to the movement of the sound source toward the wall, the observer now also walks toward the wall at a speed of 2.00 m/s.

Determine the following:

19
Apparent frequency of the sound waves coming directly to the observer from the tuning fork
20
Apparent frequency of the sound waves coming to the observer after being reflected off of the wall
21
The number of beats heard by the observer







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