1. General Physics 2Induction1 Introduction to Waves A wave is a disturbance that moves through a medium while the medium remains essentially at rest Examples Water, sound, tension, seismic

2. General Physics 2Waves & Sound2 Wave Motion

3. General Physics 2Waves & Sound3 Wave Motion

4. General Physics 2Induction4 Sinusoidal Wave One-dimensional waves Symbols A amplitude, k wavenumber, λ wavelength, ω angular frequency, T period, f frequency

5. General Physics 2Waves & Sound5 Wave Characteristics

6. General Physics 2Waves & Sound6 Velocity of Waves For all waves: For a wave on a string or cord (string instruments): where: F T = tension in string m = mass of string L = length of string m/L may also be written as 

7. General Physics 2Induction7 Wave Equation

8. Solution to the wave equation Plugging into the wave equation, General Physics 2Induction8

9. General Physics2Simple Harmonic Motion9 Graphs The graphs show: (a) displacement as a function of time (b) velocity as a function of time (c ) acceleration as a function of time velocity is 90 o out of phase with the displacement acceleration is 180 o out of phase with the displacement

10. General Physics 2Waves & Sound10 Plug & Chug

11. General Physics 2Waves & Sound11 Types of waves Transverse displacement is perpendicular to velocity Ex - light Longitudinal displacement is parallel to velocity Ex - sound

12. General Physics 2Induction12 Group Problems (a) AM radio signals have frequencies between 550 kHz and 1600 kHz and travel with a speed of 3.00 x 10 8 m/s. What are the wavelengths of these signals? (b) On FM, the frequencies range from 88.0 MHz to 108 MHz and travel at the same speed. What are their wavelengths? E15B.1, E15B.7, E15S.1