1 / 9

Resonance in a Closed Tube

Resonance in a Closed Tube. Constant Length, Changing Frequency. Review: Changing Length. First resonance point: ≈ Half of difference ( ½ Δ x) . Decreases as f increases. Antinode to node. x initial ≈ ¼ λ … End correction!. Distance between resonance points:

orrick
Télécharger la présentation

Resonance in a Closed Tube

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. Resonance in a Closed Tube Constant Length,Changing Frequency

  2. Review: Changing Length • First resonance point: • ≈ Half of difference ( ½ Δx). • Decreases as f increases. • Antinode to node. • xinitial ≈ ¼ λ … End correction! • Distance between resonance points: • Constant for same frequency. • Decreases as f increases. • Node to node. • Δx = ½ λ

  3. Tube Length vs. Wavelength: L ≈ ¼ λ L ≈ ¾ λ L ≈5/4λ

  4. Calculating Wavelength: Δx = ½ λλ= 2 Δx L ≈ ¼ λλ≈ 4 L λ≈ 4/3 L λ≈ 4/5 L

  5. What about constant length? • When resonating, net displacement of molecules is zero. • Amplitude at resonance points is a relative maximum, because the sound is loudest. • Constant length: • Constant velocity, b/c constant T. • Changing frequency & wavelength, b/c length changes.

  6. Overtones at Constant Length:

  7. Closed Tube Resonant Frequencies:

  8. Frequency, Wavelength, and Speedof ANY wave, including Sound: v = f λ Know two, find the third! Wavelength calculated as a fraction of L, or L calculated from λ. Speed calculated: v = 331.5 + 0.607 T. Frequency: measured or calculated.

  9. Open Tube Using the analysis of a closed tube as a guide,determine the frequencies at which an open tube of fixed length will resonate.

More Related