1 / 20

General Wave Behavior

General Wave Behavior. Physics of Music, Spring 2014. Key Terms. traveling wave transverse wave longitudinal wave plane waves circular waves Huygen's principle reflection diffraction velocity frequency wavelength. What is a traveling wave ?.

hosea
Download Presentation

General Wave Behavior

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. General Wave Behavior Physics of Music, Spring 2014

  2. Key Terms traveling wavetransverse wavelongitudinal wave plane wavescircular wavesHuygen's principle reflectiondiffraction velocityfrequencywavelength

  3. What is a traveling wave? A disturbance which travels through a medium, transmitting energy from the source to the observer without any net transfer of mass. Animation courtesy of Dr. Dan Russell, Kettering University

  4. Transverse Wave Transverse: displacement is perpendicular to direction of wave propagation Spring image source: http://www.factmonster.com/dk/science/encyclopedia/energy-waves.html Animation courtesy of Dr. Dan Russell, Kettering University

  5. Longitudinal Wave Longitudinal: displacement is parallel to direction of wave propagation. Animation courtesy of Dr. Dan Russell, Kettering University Long. Spring image source: http://www.factmonster.com/dk/science/encyclopedia/energy-waves.html

  6. Plane waves and Circular Waves Circular Plane Image sources: (top) Berg and Stork, Physics of Sound, 3rd ed. (bottom) UC Irvine Optics research group. Plane  circular (diffraction!)

  7. Huygen’s Principle A wavefront can be thought of as being composed by a large number of “wavelets”, each of which spread out spherically in time and space. Image source: Berg and Stork, Physics of Sound, 3rd ed.

  8. Law of reflection Angle of incidence equals angle of reflection. qi = qr Image sources: http://www.dl.ket.org/physics/companion/thepc/compan/Light/Light-t.htm http://www.worsleyschool.net/science/files/reflectionlaw/page.html Both angles are measured with respect to the normal (dashed line perpendicular to the surface)

  9. Plane Wave Reflection and Ray Diagrams normal Ray diagram Image source: http://hyperphysics.phy-astr.gsu.edu/hbase/sound/reflec2.html#c1

  10. Reflection from concave surface Image source: http://hyperphysics.phy-astr.gsu.edu/hbase/sound/reflec2.html#c1 (left); Berg and Stork, Physics of Sound, 3rd ed. (right)

  11. Applications of Reflection? Image source: D. Hall, Musical Acoustics (left)

  12. Diffraction Narrow aperture Tendency for waves to spread out as a result of passing by an edge (barrier or passing through a slit) Wide aperture Image source: http://innovativescience.blogspot.com/2011/02/diffraction.html

  13. Diffraction Patterns Diffraction in ripple tank Diffraction on a MUCH larger scale. Image sources: (top) http://scripts.mit.edu/~tsg/www/demo.php?letnum=Q%201&show=1 Bottom: http://www.suntrek.org/factary/d.shtml

  14. Diffraction in Action

  15. Key TermsWave Mechanics: Part II traveling wavetransverse wavelongitudinal wave plane wavescircular wavesHuygen's principlereflectiondiffraction velocityfrequencywavelength

  16. A Day at the Beach Check out the plane waves!!!

  17. Travelling Waves x Velocity (v): change in position per change in time v= Dx/Dt l = vT Or… v = lf Frequency (f): how many times per second one particular point oscillates Wavelength (l): spatial distance from crest-to-crest Animation courtesy of Dr. Dan Russell, Kettering University

  18. lf t = to Physical Parameters [m/s] : velocity How far a wavefront travels per unit time, Dx/Dt. Property of the medium/material. T [s]: period How much time elapses between generation of each pulse (wavefront) f [Hz]: frequency How many oscillations per second at one point in space, f = 1/T. l [m] = wavelength How far between two crests or two troughs t = to+ T l

  19. Travelling waves in ripple tank: high speed video (240 fps) Ripple tank image, oblique view Image from Arbor Scientific

  20. Speed of Sound in Various Bulk Media Data from: http://www.engineeringtoolbox.com/sound-speed-solids-d_713.html

More Related