Standing at a crosswalk, you hear a frequency of 505 Hz from the siren of an approaching ambulance. After the ambulance passes, the observed frequency of the siren is 428 Hz. Determine the ambulance's speed from these observations. (Take the speed of sound to be 343 m/s.)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter13: Mechanical Waves
Section: Chapter Questions
Problem 41P
icon
Related questions
Question

16.3

fill in the blanks

Standing at a crosswalk, you hear a frequency of 505 Hz from the siren of an approaching ambulance. After the
ambulance passes, the observed frequency of the siren is 428 Hz. Determine the ambulance's speed from these
observations. (Take the speed of sound to be 343 m/s.)
Transcribed Image Text:Standing at a crosswalk, you hear a frequency of 505 Hz from the siren of an approaching ambulance. After the ambulance passes, the observed frequency of the siren is 428 Hz. Determine the ambulance's speed from these observations. (Take the speed of sound to be 343 m/s.)
Since the ambulance is the source of the sound, let v represent the magnitude of the velocity of the ambulance.
Approaching the ambulance, you hear the frequency
V
f
f' =
·- ( + - + ₂) ² - (2-1₁ / 1)"
f =
V - V
V
S
and departing the ambulance, you hear the frequency
f
(1-(-Vs/v))
f" =
The negative sign appears because the source is moving toward the observer. The opposite sign describes the
ambulance moving away. Since f' = 505
Hz and f" = 428
Hz, we have the
following.
505
which gives
=
0
The correct answer is not zero. Hz
=
H₂) (1 - 1/3) - ( 428
Hz
V
Solving for v from the equation above, we have
Hz) Vs
V
28.3
0
X
The correct answer is not zero. v
0
X
The correct answer is not zero.
(
m/s.
H₂) (1 + 2/3).
Hz
V
0
X
The correct answer is not zero. Hz.
343
m/s)
Transcribed Image Text:Since the ambulance is the source of the sound, let v represent the magnitude of the velocity of the ambulance. Approaching the ambulance, you hear the frequency V f f' = ·- ( + - + ₂) ² - (2-1₁ / 1)" f = V - V V S and departing the ambulance, you hear the frequency f (1-(-Vs/v)) f" = The negative sign appears because the source is moving toward the observer. The opposite sign describes the ambulance moving away. Since f' = 505 Hz and f" = 428 Hz, we have the following. 505 which gives = 0 The correct answer is not zero. Hz = H₂) (1 - 1/3) - ( 428 Hz V Solving for v from the equation above, we have Hz) Vs V 28.3 0 X The correct answer is not zero. v 0 X The correct answer is not zero. ( m/s. H₂) (1 + 2/3). Hz V 0 X The correct answer is not zero. Hz. 343 m/s)
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Interference 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
Recommended textbooks for you
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Physics for Scientists and Engineers, Technology …
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College