What is the Speed of the Car Based on the Doppler Effect of Sound?

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SUMMARY

The discussion focuses on calculating the speed of a car using the Doppler Effect, specifically when a policeman detects a 10% drop in the pitch of the car's horn as it passes by. The velocity of sound is given as 330 m/s. The relevant equation used is f2 = f1 [v - v(listener)]/[v - v(source)], where f2 represents the apparent frequency and f1 the true frequency. The solution involves understanding the transition of the car's motion from approaching to receding from the observer.

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  • Understanding of the Doppler Effect in sound waves
  • Familiarity with basic physics equations related to frequency and velocity
  • Knowledge of sound velocity, specifically 330 m/s
  • Ability to manipulate algebraic equations to solve for unknown variables
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  • Study the Doppler Effect in various contexts, including light and sound
  • Learn how to derive the Doppler Effect equations for different scenarios
  • Explore real-world applications of the Doppler Effect in law enforcement and radar technology
  • Practice problems involving the calculation of speed using the Doppler Effect
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Kinar
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Homework Statement


A policeman detects a drop of 10% in the pitch of the horn of a motor car as it crosses him. If the velocity of sound is 330ms^-1, calculate the speed of the car.


Homework Equations


f2 = f1 [v - v(listener)]/[v - v(source)]
where f2 = apparent frequency
f1 = true frequency


The Attempt at a Solution


I'm confused about how the car crosses him. Please help.
 
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Kinar said:

Homework Statement


A policeman detects a drop of 10% in the pitch of the horn of a motor car as it crosses him. If the velocity of sound is 330ms^-1, calculate the speed of the car.


Homework Equations


f2 = f1 [v - v(listener)]/[v - v(source)]
where f2 = apparent frequency
f1 = true frequency


The Attempt at a Solution


I'm confused about how the car crosses him. Please help.
Welcome to Physics Forums.

At first, the car is moving toward the policeman at speed vsource. It passes by the policeman, and is then moving away from him at the same speed.
 
thanks
 

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