Doppler shift of an approaching source with interference problem

In summary, the driver of the police car will hear a frequency of 328.75 Hz reflected from the warehouse, assuming the warehouse reflects 100% of the incident waves. This is calculated using the doppler shift equation for an approaching source, with the assumption that the warehouse is treated as a stationary source and the police car is moving towards it with a velocity of 30 m/s.
  • #1
Solidearth
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Homework Statement



P15. The police car with its 300 Hz siren is moving toward a warehouse at 30 m/s, intending to crash through the door. What frequency does the driver of the police car hear reflected from the warehouse? (5 marks)

Homework Equations


doppler shift for an approaching source. (f+) = fo / [1-vs/v]


The Attempt at a Solution



the doppler shift of the siren at the door is (300Hz)/ (1- [(30m/s)/(343m/s)]) =328.75Hz

now assume that the warehouse/ warehouse door reflects 100% of the incident waves.

I really have no idea where to go from here.
 
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  • #2
For reflected waves, treat source at rest and the observer is moving towards the source with the velocity equal to the velocity of the police car.
 
  • #3
The warehouse reflects each wave that hits it, and becomes a source.
The car is driving through the reflected waves.
 
  • #4
hey guys thanks for the reply I tried it and it worked.
cheers
 
  • #5


I would first clarify the problem by asking for more information. Is there any interference present in the scenario, and if so, what type of interference is it? Is the warehouse door made of a material that could potentially absorb or reflect the sound waves differently? Are there any other factors that could affect the frequency of the reflected sound wave?

Once these questions are answered, I would then use the appropriate equations and principles to calculate the frequency of the reflected sound wave. This may involve taking into account the change in wavelength due to interference, as well as any changes in the speed of sound due to the material properties of the warehouse door.

I would also consider the practical implications of this scenario, such as the potential for the reflected sound wave to interfere with the police car's siren and cause confusion or difficulty in navigating the vehicle. This could lead to further investigation and experimentation to find a solution to this problem.

Overall, as a scientist, my response would be to gather more information, consider all relevant factors, and use scientific principles and methods to find a solution to the problem.
 

What is Doppler shift?

Doppler shift is the change in frequency or wavelength of a wave as it moves towards or away from an observer. It is caused by the relative motion between the source of the wave and the observer.

How does the Doppler shift affect an approaching source with interference problem?

The Doppler shift can cause interference patterns to change when an approaching source is involved. This is because the frequency of the waves emitted by the source changes as it moves towards the observer, resulting in a change in the interference pattern.

What is meant by the term "interference problem" in relation to Doppler shift?

Interference problem refers to the phenomenon where two or more waves overlap and interfere with each other, resulting in a change in the overall amplitude or frequency of the waves. In the context of Doppler shift, the interference problem arises when the approaching source causes changes in the interference pattern.

How can the Doppler shift of an approaching source with interference problem be calculated?

The Doppler shift of an approaching source with interference problem can be calculated using the equation: Δf = f0(v/c), where Δf is the change in frequency, f0 is the original frequency, v is the velocity of the source, and c is the speed of the wave in the medium.

What are some real-life applications of Doppler shift with interference problem?

Doppler shift with interference problem is used in various fields such as astronomy, meteorology, and medical imaging. It is used to study the motion of stars and galaxies, track weather patterns, and in medical ultrasound imaging to detect the movement of blood cells and tissues.

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