Sound_Speed(2)
xlsx
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School
CUNY College of Staten Island *
*We aren’t endorsed by this school
Course
PHY-116
Subject
Aerospace Engineering
Date
Jan 9, 2024
Type
xlsx
Pages
5
Uploaded by youstena2004
Your name:
Youstina Khalil
Lab partner name:
Mutlu Erkin
Date:
12/1/2023
Table 1 Measurments for sound speed
Diamter of the tube [m ]
0.03417
Room temperature [ c ]
25.0
Sound speed at room temperature [ m/a]
346.5
384
0.003
0.230
0.961
369.0
440
0.002
0.192
0.809
356.0
512
0.002
0.160
0.681
348.7
1024
0.001
0.084
0.377
386.1
Figure 1
Sound speed at room temperature=331.5+(0.6*F9)
1/freequency=1/B12
Wavelength=4*(D12+(0.3*F$8))
Sound speed=B12*E12
Freequency
[ Hz]
1/freequency
[ 1/s]
Length of
air column
[ m]
Wavelength
[ m ]
Sound speed
[ m/s ]
0.000
0.200
0.400
0.600
0.800
1.000
1.200
f(x) = 361.315545239563 x
R² = 0.999201273557152
Wavelenght [ m ]
Figure 2 Wavelength vs 1/freequency Table 2 Analysis of speed of sound
Method
PE
364.928
5.318
361.32
4.277
Calculated average=AVERAGE(F12:F16)
From graph=read the vaue of slope of the graph
PE=abs(F$10-C44)/F$10*100
Post lab Questions
Discussion and conclussion
Sound
speed
[ m/s ]
Calculated
average
From
graph
Q1: How could you use the method and the results of this experiment to determine whether the speed of sound in air depends upon its frequency? What do your results indicate about such a relationship?
Q2: If we assume that the speed of sound at any temperature is known from Eq. 3, how can this experiment be used to measure the frequency of an unmarked tuning fork?
The experiment investigates the relationship between the speed of sound in air and frequency by measuring frequency, wavelength, and air column length at various frequencies. Analyzing the calculated speeds reveals whether there is a consistent speed across frequencies or a discernible pattern, indicating frequency-dependent behavior. The results provide valuable insights into the frequency dependence of the speed of sound, with implications for studies in acoustics and wave propagation.
Assuming the speed of sound at a given temperature is known according to Eq. 3, this experiment can be employed to gauge the frequency of an unmarked tuning fork by measuring the air column length and the associated wavelength, followed by calculating the frequency using the formula speed equals frequency multiplied by wavelength.
0.001
0.001
0.001
0.001
0.002
0.002
0.002
0.002
0.002
0.003
0.003
0.000
1/freequency [ 1/Hz ]
The Sound Speed Lab aimed to explore the variations in the speed of sound in air by manipulating frequencies and measuring associated parameters like wavelength and air column length. Through these investigations, the experiment aimed to unveil potential correlations and dependencies between frequency and sound speed, offering valuable insights into acoustic wave behavior. In summary, the experiment provided crucial data to assess the speed of sound across different frequencies, laying the groundwork for understanding potential frequency-dependent trends in sound propagation. Further analysis and comparison with established speed values contribute to refining our comprehension of acoustics and predicting sound behavior under diverse conditions.
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1 Setup for sound seepd experiment