A doppler meter of frequency 3 MHz (accurate to +/ - 10Hz) is used to monitor the heart rate of a fetus in early pregnancy(8 – 10 weeks). Determine the maximum positive and negative shiftin ultrasound frequency detected by the meter due to the heartmotion. For a simplified model, take the main fetal heart muscle tomove like a mass on a spring undergoing Simple Harmonic Motion,with a maximum distance (amplitude) x max = A = 1.0 mm and afrequency, f = 150 beats/min. Take the speed of ultrasound in thebody to be v =1540 m/s. Method: write a sine function thatdescribes the motion of the heart muscle. 2.determine the maximumpositive and negative velocity of the heart muscle bydifferentiating your equation 3.use the doppler equation todetermine the corresponding frequency shifts.
