An ultrasonic scan uses the echo waves coming from something moving (such as the beating heart of a fetus) inside the body and the waves that are directly received from the transmitter to form a measurable beat frequency. This allows the speed of the internal structure to be isolated and analyzed. The speed of the ultrasound waves in tissue is about 1540 m/s. What is the beat frequency ?beats detected when waves with a frequency of 3.80 MHz are used to scan a fetal heartbeat (moving at a speed of ±8.50 cm/s)? hint that came with it: In this problem there's a stationary source of ultrasound that reflects sound off of a moving object which then returns back to the ultrasound device to measure the frequency. There are 2 Doppler shifts that need to be considered. First the stationary source and the moving observer. Second, when the sound reflects off, the moving object now becomes the source and the ultrasound device becomes the observer. In this shift, the frequency measured by the observer from the 1st shift becomes the frequency emitted by the source for the 2nd shift. Finally, you will need to change the "positive direction" when you calculate the 2 shifts - it should point from observer to source in each case.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
icon
Concept explainers
Question
100%

An ultrasonic scan uses the echo waves coming from something moving (such as the beating heart of a fetus) inside the body and the waves that are directly received from the transmitter to form a measurable beat frequency. This allows the speed of the internal structure to be isolated and analyzed. The speed of the ultrasound waves in tissue is about 1540 m/s.

What is the beat frequency ?beats detected when waves with a frequency of 3.80 MHz are used to scan a fetal heartbeat (moving at a speed of ±8.50 cm/s)?

 

hint that came with it:

In this problem there's a stationary source of ultrasound that reflects sound off of a moving object which then returns back to the ultrasound device to measure the frequency.  There are 2 Doppler shifts that need to be considered.  First the stationary source and the moving observer.  Second, when the sound reflects off, the moving object now becomes the source and the ultrasound device becomes the observer.  In this shift, the frequency measured by the observer from the 1st shift becomes the frequency emitted by the source for the 2nd shift.  Finally, you will need to change the  "positive direction" when you calculate the 2 shifts - it should point from observer to source in each case.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Properties of sound
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON