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A doppler fetal monitor is a hand-held ultrasound device that is used to detect a fetal heartbeat in prenatal care. The device works by measuring the speed of the fetus's ventricular wall and thereby tracking its heartrate. Part a (1 points) Suppose the fetus's ventricular wall moves back and forth in a pattern approximating simple harmonic motion with an amplitude of 1.7 mm and a frequency of 3.0 Hz. Find the maximum speed of the heart wall (in m/s) during this motion. Be careful of units!

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Answer:

The maximum speed of the heart wall during the motion is 0.032 m/s

Explanation:

Given:

A = amplitude of vibration = 1.7 mm = 1.7x10⁻³m

f = frequency = 3 Hz

The angular velocity is:

[tex]w=2\pi f=2\pi *3=18.85Hz[/tex]

The maximum speed of the heart wall during the motion is equal to:

[tex]V=Aw=1.7x10^{-3} *18.85=0.032m/s[/tex]

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