Investigating Waves in a Solid: A Tutorial
This tutorial will guide you through an investigation of wave properties using a stretched string. You will learn how to measure wave frequency, speed, and wavelength, and explore the relationship between these properties and the medium (string tension).
Materials:
- Vibration Generator
- Stretched String (e.g., fishing line)
- Ruler
- Stopwatch
- Weights (for adjusting tension)
Procedure:
- Set Up: Attach one end of the string to the vibration generator and the other end to a fixed point. Ensure the string is taut.
- Adjust Tension: Use weights to adjust the tension in the string. Record the tension applied.
- Generate Waves: Turn on the vibration generator. Observe the waves travelling along the string.
- Measure Wavelength:
- Identify two consecutive crests or troughs in the wave pattern.
- Measure the distance between these points using a ruler. This is the wavelength (?).
- Measure Frequency:
- Use a stopwatch to time the number of waves passing a fixed point in a given time period.
- Divide the number of waves by the time to obtain the frequency (f).
- Calculate Wave Speed: Use the formula:
- v = f * ?
- Where:
- v = wave speed
- f = frequency
- ? = wavelength
Experimentation:
- Varying Tension: Repeat steps 2-6 with different tensions applied to the string. Record the values for frequency, wavelength, and wave speed for each tension.
- Analyzing Results:
- Plot a graph of wave speed against tension. What is the relationship between the two?
- Compare the frequencies and wavelengths for different tensions. What observations can you make?
Conclusion:
- Summarize your findings about the relationship between wave speed, frequency, wavelength, and tension.
- Discuss the implications of these findings for the transmission of waves through different mediums.
Further Exploration:
- Investigate the effects of different string materials (e.g., different thicknesses, densities) on wave properties.
- Explore the concept of resonance and how it relates to wave properties.
Safety Precautions:
- Ensure that the vibration generator is switched off when not in use.
- Handle the weights carefully and avoid dropping them on your feet.
- Be cautious of the vibrating string, as it may be moving at a high speed.