Calculating Doppler Frequency Shift for Ultrasonic Waves

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SUMMARY

The discussion focuses on calculating the Doppler frequency shift for ultrasonic waves with a frequency of 5 MHz, a target velocity of 0.1 m/s, and an angle of 60 degrees between the ultrasound beam and the flow. The relevant equation used is f = 2 * vr * fs * cos(θ) / c. The initial answer provided is correct in methodology but fails to adhere to significant digit rules, suggesting the final answer should be presented as 3 x 10² Hz due to the precision of the input values.

PREREQUISITES
  • Understanding of Doppler Effect in ultrasonic waves
  • Familiarity with significant figures in scientific calculations
  • Knowledge of basic trigonometry for angle calculations
  • Proficiency in using the equation f = 2 * vr * fs * cos(θ) / c
NEXT STEPS
  • Research the principles of the Doppler Effect in various mediums
  • Study significant figures and their importance in scientific reporting
  • Explore applications of ultrasonic waves in medical imaging
  • Learn about the impact of angle on Doppler frequency shifts
USEFUL FOR

Students in physics or engineering, professionals working with ultrasonic technologies, and anyone interested in the practical applications of the Doppler Effect.

nao113
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Homework Statement
Calculate the Doppler frequency shift under the following condition:
Ultrasonic frequency = 5 [MHz] Velocity of target = 0.1 [m/s]
Angle between the US beam and flow =60 [deg.]

I put the detait of the question and my answer below
Did I answer it correctly?
Relevant Equations
f = 2. vr. fs. cos /c
Screen Shot 2022-06-08 at 16.13.21.png

Answer;
Screen Shot 2022-06-08 at 16.13.32.png
 
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nao113 said:
Homework Statement:: Calculate the Doppler frequency shift under the following condition:
Ultrasonic frequency = 5 [MHz] Velocity of target = 0.1 [m/s]
Angle between the US beam and flow =60 [deg.]

I put the detait of the question and my answer below
Did I answer it correctly?
Relevant Equations:: f = 2. vr. fs. cos /c

View attachment 302557
Answer;
View attachment 302558
Looks ok, except that it violates the usual rules of significant digits. Since the given frequency and speed have only one such the answer should be given as ##3\times 10^2##Hz. On the other hand, the question setter might not have intended that.
 

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