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Standing Waves

Standing Waves. Conditions to create Standing Waves. Waves with identical frequency and same amplitude In the same medium Travel in opposite direction Both fixed ends. Simulation explaining standing waves. http://www.subwoofer-builder.com/standing-wave-animation.gif.

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Standing Waves

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  1. Standing Waves

  2. Conditions to create Standing Waves • Waves with identical frequency and same amplitude • In the same medium • Travel in opposite direction • Both fixed ends

  3. Simulation explaining standing waves • http://www.subwoofer-builder.com/standing-wave-animation.gif

  4. Characteristics of a standing wave Nodes (N) are.. Anti-nodes (AN) are… Fixed points along the medium No displacement(No-des placement) points always located at the same location along the medium Caused as a result of destructive interference Located midway between every consecutive nodal point undergo maximum displacement. oscillate back and forth between a large positive displacement and a large negativedisplacement result of the constructive interference of the two interfering waves.

  5. Patterns called Harmonics • variety of patterns could be produced by vibrations within a string, slinky, or rope. • Each pattern occurs at a particular frequency and is known as a harmonic. The lowest possible frequency at which a string could vibrate to form a standing wave pattern is known as the fundamental frequency or the first harmonic. • The second lowest frequency at which a string could vibrate is known as the second harmonic; • the third lowest frequency is known as the third harmonic; and so on.

  6. Harmonics simulation • http://www.physicsclassroom.com/mmedia/waves/harm4.cfm

  7. Harmonics… • The frequency associated with each harmonic is dependent upon the speed at which waves move through the medium and the wavelength of the medium. • The speed at which waves move through a medium is dependent upon the properties of the medium (tension of the string, thickness of the string, material composition of the string, etc.) • The wavelength of the harmonic is dependent upon the length of the string and the harmonic number (first, second, third, etc.).

  8. Photo • http://www.flickr.com/photos/physicsclassroom/5243218100/

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