1722 Words7 Pages

Speed of Sound
A. Objective
The objective of this laboratory was to measure the speed at which sound was traveling through the air, using the resonance of longitudical waves. B. Equipment Used * Tall glass of water * PVC Pipe, 10 in. * Tape measure, 3 m * Mercury thermometer * Tuning fork, 384 Hz * Marker pencil * Block of wood C. Data
Table 1: Tuning fork frequency (Hz) | Length, L Water level to top of the tube (m) | D= diameter of tube (m) | Wavelength=4(L+0.3d)(m) | Room temperature (degrees C) | 384 | 0.218 | 0.020 | 0.896 | 24 | D. Calculations
A. In order to find the wavelength:
Wavelength=4(L+0.3d)
Next, plug in the values from Data Table 1 in to find the sound wavelength:
Wavelength=4(0.218m +0.3*0.020m)
Wavelength=4(0.218m+0.006m)
Wavelength=4(0.224m)
Wavelength=0.896 m
In order to find the experimental value of v (speed of sound):
V=f*wavelength
(The value of f [frequency of the tuning fork] was found written on the side of the tuning fork.) v=384 Hz*.896m v=344.064 m/s In order to find actual speed of sound: (where Tc=room temperature in degrees Celsius)
V speed of sound=331.4+0.6Tc m/s
V speed of sound=331.4+0.6(24) m/s
V speed of sound=345.8 m/s
B. % error was found by using the following calculations: % error=(experimental value-theoretical value*100)/theoretical value % error= (344.064 m/s-345.8 m/s*100)/345.8 m/s % error=+-0.502%
C. Consider the length of your resonance tube, what is the lowest frequency tuning fork you could use for this exercise? Show your calculations.
The lowest frequency tuning fork I could have used in this exercise was 332.108 Hz. f=v/4L f=344.064/4*0.259 f=344.064/1.036 f=332.108 Hz E. Error Analysis
The error analysis for this lab was a percent difference calculation between the theoretical value of the speed of sound

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