Find wavelength, Phase Difference, and amplitude from min and max

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Homework Help Overview

The discussion revolves around determining the wavelength, phase difference, and amplitude of sound waves produced by two speakers based on their positions and the observed maximum and minimum amplitudes. The problem involves concepts from wave physics, particularly interference and phase relationships.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between the distance moved by the speaker and the wavelength, questioning how to derive the wavelength from given distances. There are discussions about the equations for the outputs of the speakers and how to combine them. Some participants express uncertainty about the phase difference and how to calculate it based on the setup.

Discussion Status

Participants are actively engaging with the problem, offering insights and questioning each other's reasoning. Some have proposed potential equations and relationships, while others seek clarification on the correct approach to find the phase difference and amplitude. There is a mix of interpretations regarding the equations involved, but no consensus has been reached yet.

Contextual Notes

There are mentions of missing variables and the need for additional information to fully resolve the problem. Participants also note the importance of understanding the phase relationships and how they relate to the physical setup of the speakers.

  • #31
Just had a breakthrough moment. My textbook must be awful because I just understood what these cosine functions are actually representing from your comment and then found an equation that would help.

Amplitude of both = 2a*cos(Δψ/2)

= 2a*cos(1.1775)


Amplitude in terms of a = 0.767a

Submitted, and that was correct.

Thank you both tms and rudeman for your help! I really appreciate you guys and hope one day to give back to the community here at Physics Forums.


Thanks again!
 

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