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An ultrasound machine can measure blood flow speeds. Assume the machine emits acoustic energy at a frequency of 2.10 MHz , and the speed of the wave in human tissue is taken to be 1510.0 m/s . What is the beat frequency f beat between the transmitted and reflected waves if blood is flowing in large arteries at 0.0190 m/s directly away from the sound source?

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davidlcastiblanco

Answer:

The beat frequency is f

f = 52.85 Hz

Explanation:

Fe = 2.10 MHz

u = 1510.0 m /s

To find using the flowing in large arteries at 0.0190 m/s to determine the frequency use

v = 0.019 m / s

Δf = 2 * v * f  / u

Δf = ( 2 * 0.019m/s * 2.10 MHz ) / 1510m/s

Δf = 52.85 Hz

With precision can find using also  

f' = 2.0Mz * (1510 - 0.019) / (1510 + 0.019) = 20.99947 MHz  

Δf = |f' - f|

Δf = |2.099947 MHz - 2.1 MHz|

Δf = 52.85 Hz  

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