(a) Expectant parents are thrilled to hear their unborn baby's heartbeat, revealed by an ultrasonic motion detector. Suppose the fetus's ventricular wall moves in simple harmonic motion with an amplitude of 1.70mm and a frequency of 130. per minute. Calculate the maximum linear speed of the heart wall. Suppose the motion detector in contact with the mother's abdomen produces sound at 1910000Hz, which travels through tissue at 1.50km/s. (b) Calculate the maximum frequency at which the sound would be perceived at the wall of the baby's heart. (c) Calculate the maximum frequency at which reflected sound is received by the motion detector. (By electronically "listening" for echoes at a frequency different from the broadcast frequency, the motion detector can produce beeps of audible sound in synchronization with the fetal heartbeat.)

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter13: Mechanical Waves
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(a) Expectant parents are thrilled to hear their unborn baby's heartbeat, revealed by an ultrasonic motion detector. Suppose the fetus's ventricular wall moves in simple harmonic motion with an amplitude of 1.70mm and a frequency of 130. per minute. Calculate the maximum linear speed of the heart wall. Suppose the motion detector in contact with the mother's abdomen produces sound at 1910000Hz, which travels through tissue at 1.50km/s.

(b) Calculate the maximum frequency at which the sound would be perceived at the wall of the baby's heart.

(c) Calculate the maximum frequency at which reflected sound is received by the motion detector. (By electronically "listening" for echoes at a frequency different from the broadcast frequency, the motion detector can produce beeps of audible sound in synchronization with the fetal heartbeat.)

 

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