1. The problem statement, all variables and given/known data The calibration for a piece of ultrasound equipment states that the velocity of blood flow in the aorta is normally about 0.28 m/s, and that the detector emits a frequency of 4.20 MHz. a) If the ultrasound waves were directed along the blood flow and reflected from the red blood cells, what frequency would be received back at the detector? Assume that the waves travel with a speed of 1.5x10^3 m/s. b) In reality, the signal you receive is the beat frequency, the difference between the sent and received signals. This is what you use for comparisons. What is the beat frequency for this situation? c) If the cross sectional area of the aorta is partially blocked by plaque build-up on the walls, such that it is 1/2 its normal cross sectional area, what are the frequency and beat frequency received? (All other factors, apart from the decrease in cross sectional area, are considered to be constant). 2. Relevant equations ƒo = ((v – vo) / (v-vs)) *ƒs ƒbeat = Δƒ speed of sound through blood = 1570 m/s 3. The attempt at a solution a) ƒo = ((v – vo) / (v-vs)) *ƒs ƒo = ((1570 m/s - 1.5x10^3) / (1570 m/s - 0.28 m/s)) * 4.20 MHz ƒo = 0.18731 MHz b) ƒbeat = Δƒ ƒbeat = 4.20 MHz - 0.18731 MHz ƒbeat = 4.0126 c) ƒo = ((v – vo) / (v-2*vs)) *ƒs ƒo = ((1570 m/s - 1.5x10^3) / (1570 m/s - (2*0.28))) * 4.20 MHz ƒo = 0.18732 MHz ƒbeat = Δƒ ƒbeat = 4.20 MHz - 0.18732 MHz ƒbeat = 4.0127 MHz I'm not sure if this is correct. Any help would be appreciated.