Introduction to Properties of Waves Wave Properties Basic Waves Figure 1: Series of four diagram sets over time. Activity There are basically two kinds of waves. The first is the type with which you are already familiar, when oscillations are perpendicular to the direction of wave motion. These are called transverse waves. Wave motion from a pebble dropped in still water or light are examples of waves that oscillate perpendicularly to the direction of the wave. Perpendicular oscillation does not have to be up and down, it can be side to side or at any angle. However, amplitude from equilibrium always forms a right angle when compared to the direction of transverse waves. Transverse Direction of wave Direction of Oscillations The second type of wave has oscillations that are in the same direction, or parallel, to wave direction. They are called longitudinal, or “compression”, waves. The oscillations of longitudinal waves are always forwards/backwards and cause “compression”. Sound waves and some seismic waves are examples of waves that have back-and-forth oscillations, by compressions, paralleling wave direction. Longitudinal Direction of wave Direction of Oscillations Waves are oscillations that travel, having properties of wavelengths, amplitude, and frequencies, and transfer energy. When waves move through matter, the matter remains in place (other than movement due to oscillation). The series of four diagrams in Figure 1 (to the right) demonstrates one single oscillation pulse in a transverse wave in comparison to a longitudinal wave as the waves move from left to right at the same rate of speed. The vertical lines on the diagrams are present to compare the oscillation of each wave type as they travel through matter. The particles of matter (represented by the dots) return to their original positions after the oscillation of the wave passes. Again, waves transfer energy, not matter. Both wave types, transverse and longitudinal, have identifiable wavelengths, amplitude, and frequencies. 1 Introduction to Properties of Waves Wave Properties Basic Waves Activity, continued Part 1 Transverse Waves 1. Open the simulation for Wave on a String to the image of the wrench and rope in the still position. 2. Take a few minutes to try out various settings. 3. Reset the system: a. Set to “oscillate;” do not change from oscillate during the activity. b. Click “Show Help”. c. Set “Amplitude” to 0, “Frequency” to 0, and “Damping” to 50, and slide the tension bar to high. d. Check “Rulers” (make the rulers visible). Uncheck “Timer”. e. Set to “Loose End;” do not change from loose end during the activity. f. Set the pause/play to “Paused” and you are ready to start. Amplitude vs. Energy Transfer Investigate Amplitude and Energy Transfer by controlling Frequency and Damping 1. Set “Amplitude” to 0, “Frequency” to 50, and “Damping” to 50 2. Click the “play button”. 3. Do not change “Frequency” or “Damping”. Observe what happens as you move the slider bar to increase and decrease “Amplitude”. 4. Copy the following data table into your lab journal. For each Amplitude Setting on the simulator: a. You will need to click “Pause” to collect data for each setting (note: clicking the step button moves the simulator one step at a time allowing for accurate data collection.) b. Use the vertical ruler to measure amplitude, at the beginning, equilibrium line to crest. c. Use the vertical ruler to measure the total distance of ring motion on the stationary pole. d. Use the horizontal ruler to measure the wavelength from crest to crest. e. Count and record the total number of visible wave cycles when paused. f. Complete the data table. Amplitude setting Amplitude (in cm) Ring Movement (in cm) Wavelength (cm) Number of observable wave cycles 25 50 100 5. 6. 7. 8. How do we know the wave transferred energy to the ring on the pole? As amplitude increased, did the energy of the wave (shown by ring movement) change? As amplitude increased, what happened to wavelength? As amplitude increased, what happened to the number of wave cycles observable when pausing the simulator? 2 Introduction to Properties of Waves Wave Properties Basic Waves Activity, continued Frequency vs. Energy Transfer Investigate Frequency and Energy Transfer by controlling Amplitude and Damping 9. Set “Amplitude” to 50, “Frequency” to 0, and “Damping” to 50 10. Click the “play button”. 11. Do not change “Amplitude” or “Damping”. Observe what happens as you move the slider bar to increase and decrease “Frequency”. 12. Copy the following data table into your lab journal. For each Frequency Setting on the simulator: a. You will need to click pause to collect data for each setting (note: clicking the step button moves the simulator one step at a time allowing for accurate data collection.) b. Use the vertical ruler to measure amplitude, at the beginning, equilibrium line to crest. c. Use the vertical ruler to measure the total distance of ring motion on the stationary pole. d. Use the horizontal ruler to measure the wavelength from crest to crest. e. Count and record the total number of visible wave cycles when paused. f. Complete the data table. Frequency setting Amplitude (in cm) Ring Movement (in cm) Wavelength (in cm) Number of observable wave cycles 25 50 100 13. How do we know the wave transferred energy to the ring on the pole? 14. As frequency increased, did the energy of the wave (shown by ring movement) change? 15. As frequency increased, what happened to wavelength? 16. As frequency increased, what happened to the number of wave cycles observable when pausing the simulator? Calculating Frequency: The frequency of a “wave cycle” (one complete wavelength) is determined by choosing a point and counting the number of cycles that pass the point in a specific period of time (typically one second). Frequency is usually expressed in cycles per second. For example: a count of 20 cycles counted at a specific point during a 5-second time period results in a frequency of 4 cycles/sec. The SI unit for frequency is Hertz (Hz) and means one cycle per second. 20 cycles in 5 seconds is 4 Hz. 3 Introduction to Properties of Waves Wave Properties Basic Waves Activity, continued Calculating Frequency 17. Set “Amplitude” to 50, “Frequency” to 0, and “Damping” to 50 18. Click the “play button”. 19. Do not change “Amplitude” or “Damping”. 20. Copy the following data table into your lab journal. For each Frequency Setting on the simulator: a. Use the vertical ruler to choose a point near the beginning of the wave simulator and set the ruler in the middle of the crest of the wave. b. Work with a partner to count the number of waves that pass the ruler point in a 10-second time period, you may need to practice a few times to make accurate counts of how many crests pass within the start and stop time period. The partner calls out “start” and “stop” for the 10-second time period. Divide the number of cycles by 10 seconds to determine frequency. c. Complete the data table. Calculating Frequency Frequency Setting on the Simulator Wave Cycle Count Frequency (cycles/sec) Hz Time period (s) 25 50 100 Part 2 Longitudinal waves Modeling Longitudinal Waves 1. Observe the class demonstration of a longitudinal wave, also called a compression wave, as it is modeled using a Slinky®. 2. Longitudinal waves, like transverse waves, have amplitude, wavelengths, and frequencies. 3. Compare the class demonstration model of a longitudinal wave to the diagram below. Copy the labeled diagram and all associated information into your lab journal. Title your diagram Longitudinal Wave. Wavelength Compression Expansion Wavelength Compression Expansion Wavelength Compression Expansion Compression Direction of wave 4 Introduction to Properties of Waves Wave Properties Basic Waves Activity, continued Simulating Longitudinal Waves On diagrams of longitudinal waves, amplitude is represented as compressed or darker areas. The more compressed or darker the area, the higher the amplitude. Notice the direction of oscillation is çèback and forth. Direction of waves in the diagrams above 4. 5. 6. 7. Sound waves are longitudinal waves. Open the simulator for Sound. Use the “Listen to a Single Source” tab. Turn on “Audio Enabled” and “speaker”. Try out the controls before starting to collect data. You should be able to hear sound. Use a full page to copy and complete the following data table into your lab journal. Generating Sound with Longitudinal Waves Sound Description A Loud, High Pitched B Soft, High Pitched C Loud, Low Pitched D Soft, Low Pitched What I did to the simulator to make this kind of sound What the waves of the simulator looked like when generating the sound A real-life example of something that makes this kind of sound 8. Set the sliders for amplitude and frequency in the middle of the slider bars. Change from “speaker” to listener to allow you to grab and drag the listener from one place to another. 9. Place the listener in the high amplitude area near the speaker source, then move the listener to the low amplitude area, further away. Answer the remaining questions, using complete sentences in your lab journal. a. As frequency increased, what happened to the wavelength? b. What causes changes in pitch? What causes the sound to be loud or soft? c. How is amplitude represented on the diagrams for longitudinal waves on this handout? How was amplitude represented by graphics in the stimulation? d. What happened when the listener was placed closer then further away to the speaker source? e. Can you think of an example when you have been able to feel the oscillations of energy transfer due to longitudinal sound waves? f. Write a scientific explanation describing how energy of transverse and longitudinal waves is related to amplitude. 5 Introduction to Properties of Waves Wave Properties Basic Waves Rubric for writing a scientific explanation Points Awarded 2 1 0 Claim Not applicable. Answers the question and is accurate based on data. No claim or does not answer the question. Evidence Cites data and patterns within the data. Uses labels accurately. Cites data from the data source, but not within the context of the prompt. No evidence, or cites changes, but does not use data from data source. Reasoning Cites the scientifically accurate reason using correct vocabulary and connects this to the claim. Shows accurate understanding of the concept. Cites a reason, but it is inaccurate or does not support the claim. Reasoning does not use scientific terminology or uses it inaccurately. No reasoning or restates the claim, but offers no reasoning. Rebuttal Rebuttal provides reasons for different data or outliers in the data. Can also provide relevance to the real world or other uses for the findings. Rebuttal is not connected to the data or is not accurate. Does not offer a rebuttal. 6
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