Concept explainers
(a)
The maximum linear speed of the heart wall.
(a)
Answer to Problem 43P
The maximum linear speed of the heart wall is
Explanation of Solution
Write the expression for maximum linear speed in terms of angular frequency.
Here,
Write the expression for angular frequency.
Here,
Conclusion:
Substitute,
Substitute,
Therefore, the maximum linear speed of the heart wall is
(b)
The maximum change in frequency between the sound that arrives at the wall of the baby’s heart and the sound emitted by the source.
(b)
Answer to Problem 43P
The maximum change in frequency is
Explanation of Solution
Write the expression for shift in frequency.
Here,
The source is at rest, and the speed of the source is equal to zero.
Substitute,
Let the change in frequency between the sound that arrives at the wall of the baby’s heart and the sound emitted by the source be
Conclusion:
Substitute,
Therefore, the maximum change in frequency is
(c)
The maximum change in frequency between the reflected sound received by the detector and that emitted by the source.
(c)
Answer to Problem 43P
The maximum change in frequency between the reflected sound received by the detector and that emitted by the source is
Explanation of Solution
Let
In this case the speed of the observer is zero.
The expression for the change in frequency.
The expression for
Substitute, equation (II) in (IV).
The velocity of both source and observer are same, and the speed of sound is greater than the speed of the source. Hence equation (V) becomes.
Conclusion:
Substitute,
Therefore, the maximum change in frequency between the reflected sound received by the detector and that emitted by the source is
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Chapter 17 Solutions
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