Two speakers driven by the same force

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The discussion focuses on calculating the phase difference between sound waves from two loudspeakers positioned 1.00 m apart, with a listener 4.00 m away from one speaker, driven by an 800 Hz oscillator. The phase difference can be determined using the formula delta r = (phi/2pi)lambda, where the distance difference to each speaker is critical. Additionally, the problem involves finding a frequency adjustment that minimizes sound for the observer, which requires understanding the relationship between frequency, velocity, and wavelength. The dimensions of the triangle formed by the listener and the speakers are identified as a=4, b=1, and c=sqrt(17). The calculations are essential for determining both the phase difference and the adjusted frequency for minimal sound.
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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.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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