The purpose of this experiment is to gain understanding of
standing waves and resonant conditions..
The procedure:
We measured the frequency of a standing wave up to 10
harmonics between an oscillator and two different masses. Case 1 had a 200g weight and case 2 had a 50g
weight.
Data
|
|
|
Case 1
|
Case 2
|
|
|
Harmoic
|
Nodes
|
f(Hz)
|
f(Hz)
|
Wavelegth(m)
|
|
1
|
2
|
11.2
|
5.2
|
4.00
|
|
2
|
3
|
22.5
|
10.7
|
2.00
|
|
3
|
4
|
30.7
|
16.1
|
1.33
|
|
4
|
5
|
42.1
|
21.3
|
1.00
|
|
5
|
6
|
52.1
|
26.5
|
0.80
|
|
6
|
7
|
63.1
|
31.1
|
0.67
|
|
7
|
8
|
73.5
|
|
0.57
|
|
8
|
9
|
83.7
|
|
0.50
|
|
9
|
10
|
94.3
|
|
0.44
|
|
10
|
11
|
104.9
|
|
0.40
|
Analysis:
Velocity
|
mass(g)
|
3.24
|
|
Length(m)
|
2.731
|
The slope of case 1 is 41.60 which is close to the
calculated velocity of 41.06m/s
The slope of case 2 is 20.81 which is close to the
calculated velocity of 20.53m/s
The ratio of the speeds is 2.00.
The frequencies of the cases is close to nf1
The ratio of
frequency of case 1 and case 2 is 2
Results
The speed of the wave is equal to the wavelength divided by
the frequency. The frequency of the wave
is nf1, where n is the harmonic and the frequency is the frequency
at the first harmonic. The ratio of the
frequency equals the ratio of the velocity.
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