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PHY138 – Waves, Lecture 3 Today’s overview

Explore the Wave Model, Speed on a String, Sinusoidal & Spherical Waves. Concepts on Transverse vs. Longitudinal. Dive into Chapters 20 for a deeper understanding. Practice with set exercises & delve into the world of Medical Ultrasound.

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PHY138 – Waves, Lecture 3 Today’s overview

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  1. PHY138 – Waves, Lecture 3Today’s overview • The Wave Model • Speed of Waves on a String • Sinusoidal Waves • Spherical Waves, Plane Waves

  2. Reading Assignment • This week’s reading assignment from the text by Knight is: Chapter 20, Sections 20.1-20.7 • There is also an article on Medical Ultrasound available on the web-page for Wednesday’s Lecture (Waves Lecture 4). • Suggested Chapter 20 Exercises and Problems for Practice: 1, 25, 35, 39, 53, 69, 71, 79, 82 (79 is funny!)

  3. Last time: 14.8 Externally Driven Oscillations Resonance!

  4. Transverse versus Longitudinal

  5. Snapshot Graph

  6. History Graph

  7. A string of beads are connected by a set of tiny springs. At the instant the clock starts (t=0), a pulse is moving to the right on the beads and the snapshot graph looks like this: Which of the following history graphs tracks the position for the bead marked with a red arrow as a function of time?

  8. The graph at the top is the history graph at x = 4 m of a wave traveling to the right at a speed of 2 m/s. Which is the history graph of this wave at x = 0 m? (A) (B) (C)

  9. Sinusoidal Waves

  10. Quiz 2 What is the frequency of this traveling wave? A. 10 Hz B. 5 Hz C. 2 Hz D. 0.2 Hz E. 0.1 Hz

  11. Quiz 3 What is the phase difference between the maximum of a wave and the adjacent minimum? (crest to trough) A. 0 B. π/4 C. π/2 D. 3 π/2 E. π

  12. Sinusoidal Wave Snapshot Graph k = 2π/λis the wave number

  13. Sinusoidal Wave History Graph ω=2π/T is the angular frequency

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