Download Presentation
Standing waves

Loading in 2 Seconds...

1 / 1

# Standing waves - PowerPoint PPT Presentation

Standing waves . standing waves on a string: reflection of wave at end of string, interference of outgoing with reflected wave  “ standing wave ” nodes: string fixed at ends  displacement at end must be = 0  “( displacement) nodes” at ends of string  not all wavelengths possible;

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
Download Presentation

## PowerPoint Slideshow about 'Standing waves' - bin

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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
Standing waves
• standing waves on a string:
• reflection of wave at end of string, interference of outgoing with reflected wave “standing wave”
• nodes: string fixed at ends  displacement at end must be = 0  “(displacement) nodes” at ends of string  not all wavelengths possible;
• length must be an integer multiple of half-wavelengths: L = n /2, n = 1,2,3,…
• possible wavelengths are: n = 2L/n, n=1,2,3,…
• possible frequencies: fn = n  v/(2L), n=1,2,3,….called “characteristic” or “natural” frequencies of the string; f1 = v/(2L)is the “fundamental frequency; the others are called “harmonics” or “overtones”
• RESONANCE:
• when a system is excited by a periodic disturbance whose frequency equals one of its characteristic frequencies, a standing wave develops in the system, with large amplitudes; at resonance, energy transfer to the system is maximal
• examples:
• pushing a swing;
• shape of throat and nasal cavity  overtones  sound of voice;
• musical instruments;
• Tacoma Narrows Bridge;
• oscillator circuits in radio and TV;