Mode # Frequency (Hz) Distance between Nodes (meters) Wavelength (meters) 1 / Wavelength (meters)
2
42
0.7
1.4
0.7143
3
62
0.45
0.9
1.1111
4
83.6
0.36
0.72
1.3889
5
103.5
0.27
0.54
1.8519
6
125.3
0.23
0.46
2.1739
1 / Wavelength vs Frequency
140
Frequency (Hz)
120
100
80
60
40
20
0
0.7143
1.1111
1.3889
1.8519
2.1739
1 / Wavelength (meters)
2. v = 57.41 ± 0.76 m/s
3. mass = 0.0033 kilograms
4. mass per unit length = 3.3 grams / 1.94 meters = 0.0017 kilograms / meter
5. T = mg = 0.5 * 9.8 = 4.9 Newtons
6. v = sqrt(T / mass per unit length) = 53.7 m/s
7. The velocity that we calculated in the lab was 57.41 m/s and the expected velocity was 53.7
m/s. Our results were 6% off from the expected value and agree within reason of the expected
value. A possible source of uncertainty is human error when measuring the distance between
nodes. This was because it was difficult to see where exactly the center of the node was and
the string was vibrating which further increased the difficulty of measuring the length of the
distance between nodes.