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Introduction to Waves

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. Wave Motion. Wave Motion. Sinusoidal Wave. One-dimensional waves Symbols

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Introduction to Waves

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  1. 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 Induction

  2. Wave Motion Waves & Sound

  3. Wave Motion Waves & Sound

  4. Sinusoidal Wave • One-dimensional waves • Symbols • A amplitude, k wavenumber, λ wavelength, ω angular frequency, T period, f frequency Induction

  5. Wave Characteristics Waves & Sound

  6. Velocity of Waves • For all waves: • For a wave on a string or cord (string instruments): • where: • FT = tension in string • m = mass of string • L = length of string • m/L may also be written as  Waves & Sound

  7. Wave Equation Induction

  8. Solution to the wave equation • Plugging into the wave equation, Induction

  9. 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 90o out of phase with the displacement • acceleration is 180o out of phase with the displacement Simple Harmonic Motion

  10. Plug & Chug Waves & Sound

  11. Types of waves • Transverse • displacement is perpendicular to velocity • Ex - light • Longitudinal • displacement is parallel to velocity • Ex - sound Waves & Sound

  12. Group Problems (a) AM radio signals have frequencies between 550 kHz and 1600 kHz and travel with a speed of 3.00 x 108 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 Induction

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