Standing Waves

Content type

User Generated

Subject

Physics

School

Montana State University Billings

Type

Homework

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OryyOregvr

Pages

2

Rating

Data Table

Speed of Sound in Air

Temperature of room (

o

C): 21

Length of tube (inches & meters): 1 m

Theoretical speed of sound in air 



in m/s (show calculation below):

331.4 m/s + 0.61 m/s- deg C * 21 deg C = 344.21 m/s

Predicted value of fundamental (n = 1) frequency (Hz) (show calculation below):

Click or tap here to enter text.

Harmonic

Wavelength  (m)

Wavenumber

k = 1/ (1/m)

Predicted

Resonance

Frequency (Hz)

Actual

Resonance

Frequency f

(Hz)

n = 1

2

0.5

172.10

175

n = 2

1

1

344.21

340

n = 3

0.66

1.52

523.2

520

n = 4

0.5

2

688.42

685

n = 5

0.4

2.5

860.5

868

Show sample calculations below for the n = 3 row:

n = 3 Wavelength:

0.66 m

n = 3 Predicted Resonance Frequency:

523.20 Hz

n = 3 Wavenumber:

1.52

Average experimental speed of sound (show calculation of slope below):

Velocity= Frequency * Wavelength= 523.20 * 0.66 = 345.31 m/s

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Data Table Speed of Sound in Air Temperature of room (oC): 21 Length of tube (inches & meters): 1 m Theoretical speed of sound in air 𝑣𝑎𝑖𝑟 in m/s (show calculation below): 331.4 m/s + 0.61 m/s- deg C * 21 deg C = 344.21 m/s Predicted value of fundamental (n = 1) frequency (Hz) (show calculation below): Click or tap here to enter text. Harmonic Wavelength  (m) Wavenumber k = 1/ (1/m) Predicted Resonance Frequency (Hz) Actual Resonance Frequency f (Hz) n=1 2 0.5 172.10 175 n=2 1 1 344.21 340 n=3 0.66 1.52 523.2 520 n=4 0.5 2 688.42 685 n=5 0.4 2.5 860 ...
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