Finding the speed of an approaching object using the doppler effect and sonar

In summary, the Doppler Effect is used to find the speed of an approaching object by measuring the change in frequency of reflected waves. Sonar technology plays a crucial role in this process by emitting and receiving sound waves. Factors like temperature, pressure, and angle of the waves can affect the accuracy of the speed measurement. This method can be used in any medium, but it has limitations such as only measuring in a straight line and being affected by other objects in the path.
  • #1
jellyman
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Homework Statement


I attatched 2 images, the problem, and my work (including the formula needed)This "double shift" is what's getting me. Is it going 2% towards the object, and 2% from it?

Or I'm I suppose to use 2 functions:F'=(f+xf) and F'=(f+yf) where x + y = 0.04?

Homework Equations


See pic.

The Attempt at a Solution


See pic.
 

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  • #2
Do as the hint suggests - in two steps.
 

Related to Finding the speed of an approaching object using the doppler effect and sonar

1. How does the Doppler Effect work in finding the speed of an approaching object?

The Doppler Effect is a phenomenon that occurs when there is a change in frequency or wavelength of a wave as it moves towards or away from an observer. In the case of finding the speed of an approaching object using sonar, the sonar waves emitted from the source are reflected off the object and returned to the receiver. The frequency of the reflected waves will be higher if the object is approaching, and lower if it is moving away. By measuring this change in frequency, the speed of the approaching object can be calculated using the Doppler Effect formula.

2. How does sonar technology play a role in finding the speed of an approaching object?

Sonar technology uses sound waves to detect and locate objects underwater. The sonar waves emitted from the source travel through the water and will be reflected off any objects in its path. By measuring the time it takes for the waves to travel to the object and back to the receiver, and the change in frequency due to the Doppler Effect, the speed of the approaching object can be determined.

3. What factors can affect the accuracy of finding the speed of an approaching object using the Doppler Effect and sonar?

There are a few factors that can affect the accuracy of this method. The speed of sound in water may vary depending on temperature, pressure, and salinity, so it is important to account for these variables in calculations. Additionally, the angle at which the sonar waves hit the object and the reflective properties of the object can also impact the accuracy of the speed measurement.

4. Can the Doppler Effect and sonar be used to find the speed of an object in any medium?

Yes, the Doppler Effect and sonar can be used to find the speed of an object in any medium as long as there is a medium for the sound waves to travel through. This method has been used in air traffic control systems, weather forecasting, and even in medical imaging.

5. Are there any limitations to using the Doppler Effect and sonar to find the speed of an approaching object?

One limitation of using the Doppler Effect and sonar is that it can only measure the speed of an approaching object in a straight line. If the object is moving in a curved or zigzag path, the measurements may not be accurate. Additionally, the accuracy of the speed measurement may be affected if there are other objects or obstacles in the path of the sonar waves.

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