What is the Beat Frequency in Doppler Ultrasound Measurements?

AI Thread Summary
Doppler ultrasound measures blood flow speed using the frequency of reflected sound waves. The formula for the reflected frequency fr is fr = f x (1 + v/u) / (1 - v/u), where v is the speed of blood cells, u is the speed of sound in blood, and f is the emitted frequency. For a blood cell speed of 0.12 m/s, an ultrasound frequency of 4.3 MHz, and a sound speed of 1570 m/s, the beat frequency can be calculated from the interference of the emitted and reflected waves. Users are encouraged to refer to course notes or online resources for the specific beat frequency equation. Accurate calculations are essential for determining the beat frequency in Doppler ultrasound measurements.
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Doppler ultrasound is used to measure the speed of blood flow. If the speed of the red blood cells is v, the speed of sound in blood is u, the ultrasound source emits waves of frequency f, and we assume that the blood cells are moving directly toward the ultrasound source, then the frequency fr of reflected waves detected by the apparatus is given by the formula below.
fr =
f
x
(1 + v/u) / (1 − v/u)

The reflected sound interferes with the emitted sound, producing beats. If the speed of red blood cells is 0.12 m/s, the ultrasound frequency used is 4.3 MHz, and the speed of sound in blood is 1570 m/s, what is the beat frequency?

____ Hz


I try to put it in the equation I got it wrong and my previous answers were wrong too:

2.45 4.34 and 329
 
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Putting the numbers into the equation you wrote above will tell you the reflected frequency. So you have two waves with frequency f and fr interfering with each other ... you have an equation for that situation in your course notes (or just google for "beat frequency"). What is it?
 
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