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Introduction
The YGP-6219 string vibration experimental device establishes a standing wave mode in the stretched string by using a sine wave generator to drive the oscillator. A weight is suspended through a pulley at the other end of the string, and the characteristics of the string vibration are studied by varying the driving frequency in the oscillator, the length, linear density, and tension of the string.
Experiments
Observe the standing wave phenomenon formed on a string with its two ends fixed, and understand the conditions for the string to resonate and form a standing wave.
Measure the propagation speed of transverse waves on a string.
Use experimental methods to determine the relationship between the resonance frequency of a string when it vibrates in a forced manner, the wavelength of the standing wave, the tension, and the density of the string.
Features
The experimental device is designed to be intuitive and easy for students to understand the principles of standing waves.
The oscillator is used to drive the string, and the wave antinodes and knots can be observed very intuitively.
The string vibrates with variable linear density, length, and tension.
Experimental Data
Resonance frequency measurement data sheet (L= 1.200m; white nylon thread μ= 0.543 g/m)
m=50g | m=100g | |||||
n | ft. （Hz） | fm. （Hz） | Ef （%） | ft. （Hz） | fm. （Hz） | Ef （%） |
1 | 13.17 | 13.24 | 0.46% | 18.63 | 18.84 | 1.11% |
2 | 26.35 | 26.82 | 1.78% | 37.27 | 37.86 | 1.60% |
3 | 39.52 | 39.38 | -0.37% | 55.90 | 56.76 | 1.54% |
4 | 52.70 | 52.66 | -0.08% | 74.53 | 75.82 | 1.73% |
Resonance frequency measurement data sheet (L= 1.200m; yellow cotton thread μ= 0.176 g/m)
m=50g | m=100g | |||||
n | ft.（Hz） | fm. （Hz） | Ef （%） | ft. （Hz） | fm. （Hz） | Ef （%） |
1 | 22.12 | 22.32 | 0.90 | 31.28 | 31.38 | 0.32 |
2 | 44.24 | 44.30 | 0.14 | 62.56 | 62.60 | 0.06 |
3 | 66.36 | 66.44 | 0.12 | 93.84 | 92.4 | -1.53 |
4 | 88.48 | 88.56 | 0.09 | / | / | / |
Wave speed measurement data sheet (L= 1.200m, white nylon thread μ= 0.543 g/m, m=100g)
Antinode number n | wavelength λ（m） | The vibration frequency of the string f（Hz） | V = f λ （m/s） | V = √(f / μ) （m/s） | Ev（%） |
1 | 2.4 | 17.72 | 42.528 | 42.48 | -0.11 |
2 | 1.2 | 35.94 | 43.128 | 42.48 | -1.53 |
3 | 0.8 | 53.98 | 43.184 | 42.48 | -1.66 |
4 | 0.6 | 72.00 | 43.20 | 42.48 | -1.69 |
5 | 0.48 | 89.34 | 42.88 | 42.48 | -0.95 |