What frequency does the blood receive? What frequency return

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The discussion focuses on calculating the frequencies related to ultrasound reflected from a moving bloodstream at 28.7 cm/s, using a source frequency of 2.41 MHz and the speed of sound in human tissue at 1540 m/s. The first calculation determines the frequency received by the blood, which is approximately 2.410449 MHz. The second calculation for the frequency returning to the source yields about 2.410948 MHz. The beat frequency produced from mixing the source and returning frequencies is calculated to be 948 Hz. The original poster initially sought help but later resolved their queries independently.
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Homework Statement


Ultrasound reflected from an oncoming bloodstream that is moving at 28.7 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 OpenStaxCollege Physics.)

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

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

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

Homework Equations



f(observed) = f(s) x (Vw / Vw +/- Vs)

f(observed) = f(s) x (Vw +/- V(obs)) / Vw

The Attempt at a Solution



a)
(2,410,000 Hz)(1540 m/s + .287 m/s) / 1540 m/s) = 2410449.136 Hz = 2.410449 MHz

b)
(2410449 Hz)(1540 / 1540 - .287) = 2410948.313 Hz = 2.410948 MHz

c) 2410948.313 - 2410000 = 948 Hza) is correct, I got that one right. b) and c) are wrong. I thought I did them correctly. Could someone please help?
Thank you!
 
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