Overview
This lecture covers the basics of waves, including wave parts, wave speed calculations, and the difference between transverse and longitudinal waves.
Wave Basics
- Waves transfer energy from one place to another without transferring matter.
- Light and sound waves carry information that our brains interpret as images or sounds.
Parts of a Wave
- Displacement-distance graphs show how far a wave has traveled (distance) and how far it has oscillated from equilibrium (displacement).
- Amplitude is the maximum displacement from equilibrium.
- Wavelength is the distance of one complete oscillation.
- Crest is the top point of the wave; trough is the bottom point.
Displacement-Time Graph
- Displacement-time graphs have time on the x-axis; one complete oscillation corresponds to the time period.
- Time period is the time taken for one full oscillation.
Frequency and Time Period
- Frequency (in hertz, Hz) is the number of oscillations per second.
- Frequency = 1 / time period; time period = 1 / frequency.
- For example, a time period of 0.5 s gives a frequency of 2 Hz; a frequency of 4 Hz gives a time period of 0.25 s.
Wave Speed Calculation
- Wave speed = wavelength × frequency.
- Wavelength should be in meters.
- Example: A wave with a 0.7 m wavelength and 400 Hz frequency has a speed of 280 m/s.
Types of Waves
- Transverse waves oscillate perpendicular to the direction of energy transfer; examples include light and water waves.
- Longitudinal waves oscillate parallel to energy transfer and create compressions and rarefactions; examples include sound and seismic P waves.
Key Terms & Definitions
- Amplitude — Maximum displacement from the equilibrium position.
- Wavelength — Distance of one complete wave cycle.
- Crest — Highest point of a wave.
- Trough — Lowest point of a wave.
- Frequency (Hz) — Number of wave cycles per second.
- Time period — Time taken for one complete oscillation.
- Wave speed — Distance a wave travels per second (wavelength × frequency).
- Transverse wave — A wave with oscillations perpendicular to energy transfer.
- Longitudinal wave — A wave with oscillations parallel to energy transfer.
Action Items / Next Steps
- Practice labeling wave diagrams and identifying wave parts.
- Solve problems using the wave speed, frequency, and time period formulas.
- Review examples of transverse and longitudinal waves.