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12.4 Wave Interactions

12.4 Wave Interactions. pp. 459 - 465 Mr. Richter. Agenda. Warm Up Check and Review HW Schedule Update: Today- 12.4.1 and Finish Lab Tomorrow- 12.4.2 Thursday- Problem Solving Practice Friday- Review Monday- Test Notes: Interference Superposition Reflections Finish Collecting Data

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12.4 Wave Interactions

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  1. 12.4 Wave Interactions pp. 459 - 465 Mr. Richter

  2. Agenda • Warm Up • Check and Review HW • Schedule Update: • Today- 12.4.1 and Finish Lab • Tomorrow- 12.4.2 • Thursday- Problem Solving Practice • Friday- Review • Monday- Test • Notes: • Interference • Superposition • Reflections • Finish Collecting Data • Start Reading

  3. Objectives: We Will Be Able To… • Apply the superposition principle. • Differentiate between constructive and destructive interference. • Predict when a reflected wave will be inverted. • Predict whether specific traveling waves will produce a standing wave. • Identify nodes and anti nodes of a standing wave.

  4. Warm-Up: • Why do you think some frequencies make standing waves in the vibrating string, and other frequencies do not?

  5. Wave Interference

  6. Wave Interference • When waves collide, they occupy the same place at the same time. Think about two sounds happening at once. • This can happen because mechanical waves are not actually matter, they just displace matter. • In addition, waves pass unaffected by each other after they collide.

  7. Wave Interference • The combination of two overlapping waves is called superposition. • The superposition principle: When two wave pulses collide, their amplitudes are added together to form a resultant pulse • http://www.youtube.com/watch?v=YviTr5tH8jw

  8. Constructive Interference • If the displacement of the two pulses is on the same side of equilibrium, they have the same sign. • The resultant displacement (sum of the pulses) is larger than either of the original pulses. http://www.youtube.com/watch?v=YviTr5tH8jw

  9. Destructive Interference • If the displacement of the two pulses are on opposite sides of equilibrium, they have opposite signs. • The resultant displacement (sum of the pulses) is smaller than both of the original pulses. http://www.youtube.com/watch?v=URRe-hOKuMs

  10. Reflections

  11. Reflections • When waves reach a boundary, they are often reflected back (or in some other direction). • Like echoes. And mirrors.

  12. Reflections at “Free” Boundaries • If the end of the medium is free to move, it behaves as if it is whipped back the other way. • The return wave is identical to the original pulse. • Like sound waves in a trumpet. http://www.youtube.com/watch?v=aVCqq5AkePI

  13. Reflection at “Fixed” Boundaries • If the end of the medium is fixed (cannot move), then the wall exerts an opposite downward force on the medium. • The pulse wave is inverted after the reflection. • Like a plucked guitar string. http://www.youtube.com/watch?v=LTWHxZ6Jvjs

  14. Wrap-Up: Did we meet our objectives?

  15. Homework

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