Calculating Beat Frequency in Ultrasound Reflection from Moving Bloodstream

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SUMMARY

The discussion focuses on calculating the beat frequency produced by ultrasound reflected from a moving bloodstream at a velocity of 38 cm/s and an original frequency of 1.3 MHz. The relevant equations include the Doppler effect formula for frequency observed (Fo) and the beat frequency formula (Fb). The user attempts to derive the reflected frequency by substituting the known values into the Doppler equation, ultimately aiming to find the difference between the original and reflected frequencies to determine the beat frequency.

PREREQUISITES
  • Understanding of the Doppler effect in sound waves
  • Familiarity with ultrasound frequency calculations
  • Basic knowledge of wave mechanics
  • Ability to manipulate equations involving frequency and velocity
NEXT STEPS
  • Study the Doppler effect in detail, focusing on moving sources and observers
  • Learn how to calculate beat frequency in wave phenomena
  • Explore ultrasound applications in medical diagnostics
  • Review sound wave propagation in different media, particularly biological tissues
USEFUL FOR

Students in physics or engineering, medical professionals using ultrasound technology, and anyone interested in the principles of wave mechanics and Doppler effect applications.

cyberdx16
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Homework Statement



Ultrasound reflected from an oncoming bloodstream that is moving at 38 cm/s is mixed with the original frequency of 1.3 MHz to produce beats. What is the beat frequency? (Velocity of sound in blood = 1540 m/s.)


Homework Equations



Fo=Fs(v+Vo/v)
Fb- (F2-f1)

The Attempt at a Solution



idk where to start...
 
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you are given the original freq... need to work out the reflected freq first... which would be doppler shifted due to moving source... I think you have got your two relevant equations written down.
 
so Fobserver is 1300000Hz, Vsource is .38m/s, and Vobserver is 1540 m/s?

so i would do 1300000=Fsource (345 + 1540/345-.38)

take this # and subtrack by 1300000?
 

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