Lab 14: Resonance Objective: To observe the properties of resonance tubes Materi

Question

Lab 14: Resonance Objective: To observe the properties of resonance tubes Materials: Variable Length Resonance Tube . Water 1024 Hz Tuning Fork 2048 Hz Tuning Fork .Rubber Mallet Tuning Fork Activator Procedure: In this lab, you will send a sound wave down a tube and vary the length of the tube until you create a standing wave that amplifies the sound. Each frequency will create a standing wave that amplifies the sound. Each frequency will create an the tube opening for four lengths. Each length corresponds to a different harmonic. antinode at Before starting the experiment, you should compute the theoretical values of the tube lengths. Using a sound speed estimated at 345 m/s, compute the expected tube lengths using the equation: 1. n=1,3,5. 4L Compute the tube lengths required for the first, third, fifth, and seventh harmonics at each of the two frequencies. (These lengths will give you approximate points where you should get resonance.) Record these values in Table 1. Fill the resonance tube with water. Practice varying the height of the tube by moving the water tub up and down. The water level in the tube will rise when the tub is above the water line, and it will fall when the tub is below the water line. 2.

Explanation / Answer

Table 1

fn = n*v/4L
n is the harmonic number, L is the tube length, v is the velocity of sound
L = nv/4fn

For the first tabole, fn is fixed to 1024 Hz
n =1 ,3 , 5, 7 as they are the harmonics , v = 345 m/s

For n=1
L = 0.084

n =3
L = 0.25

n =5
L = 0.42

n =7
L = 0.58

For fn = 2048 Hz
n =1 n =3 n =5 n=7
L = 0.042 L = 0.12 L = 0.21 L = 0.29


Table 2

v = f*4L/n

We use the L values we calculated above and substitute them for each of the harmonics 1 3 5 7 and calculate v

For fn = 1024 Hz

n =1
v = 344.064 m/s

n=3
v= 341.33 m/s

n =5
v = 344.064 m/s

n =7
v = 339.38 m/s


For fn = 2048 Hz

n =1
v = 344.06

n =3
v =  327.68

n =5
v = 344.064

n =7
v = 339.38

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