Find the expression for the frequency emitted if the source

Click For Summary
SUMMARY

The discussion focuses on deriving the expression for the frequency emitted by a stationary wave source based on measured frequencies f1 and f2 as the source approaches and recedes. The relevant equations include the frequency formula f = v/λ and the Doppler effect equation fr = fs/(1±u/v). By substituting the measured frequencies into the Doppler equation, the goal is to isolate fs in terms of f1, f2, and wave speed v, ultimately leading to a clear expression for the emitted frequency.

PREREQUISITES
  • Understanding of wave mechanics and frequency calculations
  • Familiarity with the Doppler effect and its equations
  • Knowledge of basic algebra for solving equations
  • Concept of wave speed and its relationship to frequency and wavelength
NEXT STEPS
  • Study the derivation of the Doppler effect equations in detail
  • Learn how to apply the wave equation f = v/λ in various scenarios
  • Explore examples of frequency shifts in sound and light waves
  • Investigate real-world applications of the Doppler effect in astronomy and radar technology
USEFUL FOR

Students in physics, educators teaching wave mechanics, and anyone interested in understanding the principles of the Doppler effect and frequency calculations in wave phenomena.

grapejellypie
Messages
13
Reaction score
0

Homework Statement


A wave source approaches you at constant speed and you measure a wave frequency f1. As the source passes and then recedes, you measure frequency f2. Find the expression for the frequency emitted if the source were stationary in terms of f1, f2, and wave speed v.

Homework Equations


I'm not sure which equations are relevant, but here are some:
f=v/λ (where λ = wavelength)
for situations in which the source is in motion relative to a stationary receiver
fr=(fs)/(1±u/v) where fr=frequency the receiver receives; fs= frequency emitted by source, u=speed of source, and v= wave speed)

The Attempt at a Solution


I'm not sure how to go about solving this problem. I know that the answer will be in terms of variables...
I also know that fs= fr when the source and receiver are stationary
 
Physics news on Phys.org


grapejellypie said:
... for situations in which the source is in motion relative to a stationary receiver
fr=(fs)/(1±u/v) where fr=frequency the receiver receives; fs= frequency emitted by source, u=speed of source, and v= wave speed)

That's the equation to use here. Plug in the variables for the 2 situations given, to get 2 equations in the 2 "unknowns" fs and u. Ultimately you want an expression for fs that does not contain u.
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 8 ·
Replies
8
Views
1K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 6 ·
Replies
6
Views
5K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K