Beats calculation/Doppler Effect

  • Thread starter Dilman Sidhu
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In summary, the problem involves a person standing between two out of tune bagpipers with frequencies of 258 Hz and 262 Hz, and a speed of sound of 340 m/s. The individual wants to avoid hearing beats and needs to determine how fast and in which direction she should run so that the frequencies she hears from the two bagpipers are the same. The relevant equation is the Doppler Effect, but the approach to solving it in this scenario is unclear. Assuming the person runs towards a specific source at speed v, the question asks for the frequencies she will hear.
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Dilman Sidhu
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Homework Statement


Person stands midway btwn two out of tune bagpipers. f1= 258 Hz and f2= 262 Hz. the speed of sound is 340 m/s. The individual does not want to hear beats, how fast and in which direction should she run so that the frequencies she hears from the two bagpipers are the same? What is this frequency she hears?

Homework Equations


Doppler Effect?

The Attempt at a Solution


I am unsure how to go about solving this equation. I have solved the Doppler Effect in the scenario when either the source or observer or both are moving and need to determine the change in frequency. Put am unsure how to apply that knowledge to this equation.
 
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  • #2
Dilman Sidhu said:

Homework Statement


Person stands midway btwn two out of tune bagpipers. f1= 258 Hz and f2= 262 Hz. the speed of sound is 340 m/s. The individual does not want to hear beats, how fast and in which direction should she run so that the frequencies she hears from the two bagpipers are the same? What is this frequency she hears?

Homework Equations


Doppler Effect?

The Attempt at a Solution


I am unsure how to go about solving this equation. I have solved the Doppler Effect in the scenario when either the source or observer or both are moving and need to determine the change in frequency. Put am unsure how to apply that knowledge to this equation.
Assume she runs at speed v towards a particular source. What frequencies will she hear?
 

1. What is the Doppler Effect?

The Doppler Effect is a phenomenon that causes a change in the frequency of a wave, such as sound or light, when the source of the wave is moving relative to the observer.

2. How does the Doppler Effect affect sound?

The Doppler Effect causes a change in the perceived pitch of a sound when the source of the sound is moving towards or away from the observer. When the source is moving towards the observer, the frequency of the sound waves increases, resulting in a higher pitch. Conversely, when the source is moving away, the frequency decreases and the pitch becomes lower.

3. What is the formula for calculating the Doppler Effect?

The formula for calculating the Doppler Effect is f' = f(v ± vr) / (v ± vs), where f' is the perceived frequency, f is the actual frequency, v is the speed of sound, vr is the velocity of the observer, and vs is the velocity of the source.

4. How is the Doppler Effect used in everyday life?

The Doppler Effect has many practical applications in everyday life. For example, it is used in radar technology to measure the speed of moving objects, such as cars or planes. It is also used in medical imaging, such as ultrasound, to measure blood flow and detect abnormalities. Additionally, it is used in astronomy to determine the speed and direction of celestial objects.

5. What are beats and how are they related to the Doppler Effect?

Beats are a phenomenon that occur when two sound waves with slightly different frequencies are played together. They are created by the interference of the two waves, resulting in a pulsing or beating sound. The Doppler Effect can affect the perceived frequency of the beats when the source or observer is moving, causing the beats to speed up or slow down.

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