1 / 17

Objectives

Chapter 12. Section 3 Harmonics. Objectives. Differentiate between the harmonic series of open and closed pipes. Calculate the harmonics of a vibrating string and of open and closed pipes. Relate harmonics and timbre.

kylee
Download Presentation

Objectives

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. Chapter 12 Section 3 Harmonics Objectives • Differentiatebetween the harmonic series of open and closed pipes. • Calculatethe harmonics of a vibrating string and of open and closed pipes. • Relateharmonics and timbre. • Relatethe frequency difference between two waves to the number of beats heard per second.

  2. Chapter 12 Section 3 Harmonics Fundamental Frequency Click below to watch the Visual Concept. Visual Concept

  3. Chapter 12 Section 3 Harmonics Standing Waves on a Vibrating String • The fundamental frequency, which corresponds to this wavelength, is the lowest frequency of vibration.

  4. Chapter 12 Section 3 Harmonics Harmonic Series Click below to watch the Visual Concept. Visual Concept

  5. Chapter 12 Section 3 Harmonics Standing Waves on a Vibrating String, continued • Theharmonic seriesis a series of frequencies that includes the fundamental frequency and integral multiples of the fundamental frequency. Harmonic Series of Standing Waves on a Vibrating String

  6. Chapter 12 Section 3 Harmonics The Harmonic Series

  7. Chapter 12 Section 3 Harmonics Standing Waves in an Air Column • If both endsof a pipe areopen,there is an antinode at each end. • In this case,all harmonics are present. Harmonic Series of a Pipe Open at Both Ends

  8. Chapter 12 Section 3 Harmonics Standing Waves in an Air Column, continued • If one endof a pipe isclosed,there is a node at that end. • In this case,only odd harmonics are present. Harmonic Series of a Pipe Closed at One End

  9. Chapter 12 Section 3 Harmonics Harmonics of Open and Closed Pipes

  10. Chapter 12 Section 3 Harmonics Sample Problem Harmonics What are the first three harmonics in a 2.45 m long pipe that is open at both ends? What are the first three harmonics when one end of the pipe is closed? Assume that the speed of sound in air is 345 m/s.

  11. Chapter 12 Section 3 Harmonics Timbre Click below to watch the Visual Concept. Visual Concept

  12. Chapter 12 Section 3 Harmonics Timbre • Timbreis the musical quality of a tone resulting from the combination of harmonics present at different intensities.

  13. Chapter 12 Section 3 Harmonics Harmonics of Musical Instruments

  14. Chapter 12 Section 3 Harmonics Beats Click below to watch the Visual Concept. Visual Concept

  15. Chapter 12 Section 3 Harmonics Beats • When two waves ofslightly different frequenciesinterfere, the interference pattern varies in such a way that a listener hears an alternation between loudness and softness. • The variation from soft to loud and back to soft is called abeat.

  16. Chapter 12 Section 3 Harmonics Beats

  17. How many beats are hear if tuning forks of 400 Hz and 404 Hz are played simultaneously?

More Related