Calculating Doppler Frequency Shift for Ultrasonic Waves

AI Thread Summary
The discussion focuses on calculating the Doppler frequency shift for ultrasonic waves given a frequency of 5 MHz, a target velocity of 0.1 m/s, and an angle of 60 degrees. The relevant equation used is f = 2 * vr * fs * cos / c. While the answer appears correct, it does not adhere to the rules of significant digits, as the inputs have only one significant figure. Therefore, the final answer should be expressed as 3 x 10^2 Hz to reflect the proper significant figures. Overall, the calculation is mostly accurate, but attention to significant digits is necessary.
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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