Calculating Resonance Wavelengths

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SUMMARY

The discussion focuses on calculating the resonance wavelength using a frequency of 2501 Hz and an average difference of 4.2625 cm for each 1/2 wavelength. The length of the tube used for the acoustics is 49.8 cm. Participants emphasize the need to incorporate the average difference into the formula for resonance wavelength, highlighting the relationship between frequency and wavelength based on the speed of sound in air.

PREREQUISITES
  • Understanding of wave mechanics and resonance
  • Knowledge of the speed of sound in air
  • Familiarity with basic acoustic principles
  • Ability to manipulate equations involving frequency and wavelength
NEXT STEPS
  • Research the formula for calculating wavelength from frequency: λ = v/f
  • Learn about the speed of sound in different mediums
  • Explore the concept of resonance in tubes and its applications
  • Study how to analyze acoustic data for practical experiments
USEFUL FOR

Students studying physics, particularly those focused on acoustics, as well as educators and researchers interested in wave phenomena and resonance calculations.

moomoo345
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Homework Statement



Hello all, I am supposed to calculate the resonance wavelength by using the average difference between my measurements of each 1/2 wavelength.

My data: Frequency = 2501 Hz (s^-1)
Avg. difference of each 1/2 wavelength = 4.2625 cm
Length of tube used to perform acoustics = 49.8 cm


Homework Equations





The Attempt at a Solution



My problem is that I'm having trouble understanding the question. I don't know how to incorporate the avg difference in order to output the resonance wavelength. Is there a formula?
 
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moomoo345 said:

Homework Statement



Hello all, I am supposed to calculate the resonance wavelength by using the average difference between my measurements of each 1/2 wavelength.

My data: Frequency = 2501 Hz (s^-1)
Avg. difference of each 1/2 wavelength = 4.2625 cm
Length of tube used to perform acoustics = 49.8 cm


Homework Equations





The Attempt at a Solution



My problem is that I'm having trouble understanding the question. I don't know how to incorporate the avg difference in order to output the resonance wavelength. Is there a formula?

Welcome to the PF. I'm not sure I understand the question. How much data did you collect? Based even on just one datapoint, what would you think the resonant wavelength is? Also, based on the speed of sound in air, what would you anticipate for the wavelength of that frequency of sound?
 

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