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Physics for Scientists and Enginee...

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

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Chapter
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BuyFindarrow_forward

Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781337553278
Chapter 17, Problem 31P
Textbook Problem
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Review. A student holds a tuning fork oscillating at 256 Hz. He walks toward a wall at a constant speed of 1.33 m/s. (a) What beat frequency does he observe between the tuning fork and its echo? (b) How fast must he walk away from the wall to observe a beat frequency of 5.00 Hz?

(a)

To determine
The Beat frequency that student observe between tuning fork and echo.

Explanation of Solution

Given information: The Oscillating frequency is 256Hz , the speed of the student is 1.33m/s and the speed of the sound is 343m/s .

Write the expression for frequency received by wall is,

f=fw(vvvs)

fw=f(vvsv) (1)

Here,

v is the velocity of sound.

vs is the constant speed.

fw is the frequency received by the wall.

f is the oscillating frequency.

Echo frequency received by the observer

fe=f(vs+vv) (2)

Here,

fe is the echo frequency received by the observer.

Write the alternate expression for beat frequency from equation (1) and (2).

Δf=fefw

Substitute f(v+vs)v for fe and f(vvs)v for fw in above expression

(b)

To determine
The speed of the student.

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Chapter 17 Solutions

Physics for Scientists and Engineers
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