Two speakers driven by the same force

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SUMMARY

The discussion focuses on a physics problem involving two loudspeakers driven by an oscillator at 800 Hz, positioned 1.00 m apart on a wall, with a listener standing 4.00 m in front of one speaker. The phase difference between the waves reaching the observer is calculated using the formula delta r = (phi/2pi)lambda. Additionally, the discussion addresses how to adjust the oscillator's frequency to minimize sound for the observer, requiring an understanding of wave interference and distance calculations.

PREREQUISITES
  • Understanding of wave interference principles
  • Knowledge of trigonometry for distance calculations
  • Familiarity with the relationship between frequency, wavelength, and velocity
  • Ability to apply the phase difference formula in practical scenarios
NEXT STEPS
  • Study the concept of destructive interference in wave physics
  • Learn about the calculation of phase differences in sound waves
  • Explore the effects of varying frequency on sound perception
  • Investigate the application of the Pythagorean theorem in wave problems
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics, acoustics, and sound engineering. This discussion is also beneficial for educators seeking to explain concepts of wave interference and phase differences.

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Homework Statement


Two loudspeakers are placed on a wall 1.00 m apart. A listener stands 4.00 m from the wall directly in front of one of the speakers. A single oscillator is driving the speakers at a frequency of 800 Hz.

(a) What is the phase difference between the two waves when they reach the observer? (Your answer should be between 0 and 2π.)

(b) What is the frequency closest to 800 Hz to which the oscillator may be adjusted such that the observer hears minimal sound?

Homework Equations


delta r = (phi/2pi)lamda
frequency = velocity/lamd

The Attempt at a Solution


I found the dimensions of the triangle that is formed when the person stands in front of one speaker 4.00m away which is:
a=4,b=1,c=sqrt(17)
 
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You'll need to get the difference in the distances to each speaker.
 

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