Speed of a moving observer toward stationary source (sound frequency)

Click For Summary
SUMMARY

The discussion centers on calculating the speed of a moving observer (a car) toward a stationary sound source (a whistle emitting 190 Hz). The correct formula used is f'=(1+Vo/V)f, where f' is the observed frequency (198 Hz), V is the speed of sound (340 m/s), and Vo is the observer's speed. After resolving algebraic errors, the correct speed of the car is determined to be approximately 14.3157 m/s.

PREREQUISITES
  • Understanding of the Doppler effect in sound
  • Familiarity with algebraic manipulation
  • Knowledge of basic physics concepts related to sound waves
  • Ability to apply the formula for frequency shifts due to motion
NEXT STEPS
  • Study the Doppler effect in detail, focusing on sound waves
  • Practice algebraic problem-solving techniques
  • Explore variations of the Doppler effect for moving sources and observers
  • Learn about sound wave propagation and its applications in real-world scenarios
USEFUL FOR

Students in physics, educators teaching sound wave concepts, and anyone interested in understanding the Doppler effect and its calculations.

rechitzy
Messages
21
Reaction score
0

Homework Statement



A stationary whistle emits a sound of 190 Hz. If a car hears the whistle with a frequency of 198 Hz, how fast was it moving (in m/s)? Use 340 m/s for the sound velocity

Homework Equations



f'=(1+Vo/V)f ======>>>> equation for the observer moving toward stationary source.

The Attempt at a Solution



f'=(1+Vo/V)f

198=(1+Vo/340)190

please help! what am i doing wrong?
 
Physics news on Phys.org
What did you get for your answer?
 
i got 353.3157
 
Well, then you made a mistake in your math. I believe your equation is right, but you seem to be messing up when solving the algebra. Your velocity should not be that fast.
 
ok i believe i did the 198/190 times 340 -1 is that right?
 
No, it's not.
 
ok i got a different answer now 14.3157 is this one right?
 

Similar threads

Taylor expansion of the relativistic Doppler effect?
  • · Replies 9 ·
Replies
9
Views
6K
Range of frequency heard by observer related to Doppler effect
  • · Replies 8 ·
Replies
8
Views
1K
Undergrad Deriving Doppler Effect Frequency w/ Stationary Person & Moving Source
  • · Replies 3 ·
Replies
3
Views
2K
Frequency of sound received by an observer
  • · Replies 5 ·
Replies
5
Views
1K
Doppler Effect: Velocity of a train
  • · Replies 4 ·
Replies
4
Views
2K
Doppler effect and beat frequency
  • · Replies 3 ·
Replies
3
Views
3K
Hearing the Train Whistle Frequency: Calculating fs
  • · Replies 6 ·
Replies
6
Views
5K
Sound Interference Problem -- Observer moving between two speakers
  • · Replies 3 ·
Replies
3
Views
4K
What is the speed of the train based on sound wave frequency changes?
  • · Replies 1 ·
Replies
1
Views
3K
Speed of moth related to Doppler Effect
  • · Replies 8 ·
Replies
8
Views
953