   Chapter 16, Problem 38P ### Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
ISBN: 9781337553278

#### Solutions

Chapter
Section ### Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
ISBN: 9781337553278
Textbook Problem

# Submarine A travels horizontally at 11.0 m/s through ocean water. It emits a sonar signal of frequency f = 5.27 × 103 Hz in the forward direction. Submarine B is in front of submarine A and traveling at 3.00 m/s relative to the water in the same direction as submarine A. A crewman in submarine B uses his equipment to detect the sound waves (“pings”) from submarine A. We wish to determine what is heard by the crewman in submarine B. (a) An observer on which submarine detects a frequency f′ as described by Equation 16.46? (b) In Equation 16.46, should the sign of vs be positive or negative? (c) In Equation 16.46, should the sign of vo be positive or negative? (d) In Equation 16.46, what speed of sound should be used? (e) Find the frequency of the sound detected by the crewman on submarine B.

(a)

To determine

An observer on which submarine detects a frequency f' as described by the equation.

Explanation

The frequency of the submarine A(source) is 5.27×105Hz, the speed of the submarine A is 11m/s and the speed of the submarine B(observer) is 3m/s and the velocity of the sound in the water is 1531m/s

Since, source and observer are moving in the same direction. Hence , the velocity of the observer is positive.

From Doppler’s effect, Formula to calculate the observed frequency is,

f'=(c+vO

(b)

To determine

The positive or negative sign for the velocity of the source.

(c)

To determine

The positive or negative sign for the velocity of the observer.

(d)

To determine

The speed of sound used in the expression of the observed frequency.

(e)

To determine

The observed frequency by the submarine B(observer).

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