Ultrasound reflected from an oncoming bloodstream that is moving at 30.1 cm/s is

Question

Ultrasound reflected from an oncoming bloodstream that is moving at 30.1 cm/s is mixed with the original frequency of 2.41 MHz to produce beats. Use the speed of sound in human tissue as 1540 m/s. Assume that the frequency of 2.41 MHz is accurate to seven significant figures. (Hint: compare to Example 17.8 in OpenStax College Physics.)

What frequency does the blood receive? (Give an answer in MHz, to 7 significant figures.

What frequency returns to the source? (Give an answer in MHz, to 7 significant figures.

What beat frequency is produced if the source and returning frequencies are mixed? (Give an answer in Hz, to 3 significant figures.)

Explanation / Answer

frequency does the blood receive f1 = (f*(V+Vb))/V = (2.41*(1540+0.301))/1540

f1 = 2.410471 MHz

frequency returns to the source f2 = (f1*V)/(V-Vb)

f2 = ( 2.410471*1540)/(1540-0.301)

f2 = 2.410942 MHz

beat frequency = f2 - f1 = 2.410942-2.1 = 0.311 MHz

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