How to Calculate Distance Using the Doppler Effect

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SUMMARY

The discussion focuses on calculating the distance a tuning fork has fallen using the Doppler Effect. The tuning fork, vibrating at 421 Hz, produces a frequency of 392 Hz as heard by the student, with sound speed set at 343 m/s. The Doppler Equation, fL = fs(VSOUND + Vlistener)/(VSOUND + VSource), is utilized to derive the source velocity of 25.38 m/s. This value is crucial for determining the distance fallen by the tuning fork.

PREREQUISITES
  • Understanding of the Doppler Effect and its applications in physics.
  • Familiarity with the Doppler Equation and its components.
  • Basic knowledge of sound speed in air at 20 °C.
  • Ability to manipulate algebraic equations to solve for unknowns.
NEXT STEPS
  • Study the derivation and applications of the Doppler Effect in various scenarios.
  • Learn how to calculate distance fallen using kinematic equations.
  • Explore the impact of temperature on sound speed in different mediums.
  • Investigate real-world applications of the Doppler Effect in technology and science.
USEFUL FOR

Physics students, educators, and anyone interested in understanding sound dynamics and the Doppler Effect in practical applications.

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Homework Statement



A physics student drops a vibrating 421 Hz tuning fork down the elevator shaft of a tall building. The temperature in the shaft is 20 °C. When the student hears a frequency of 392 Hz, how far has the tuning fork fallen?

fS = 421 Hz
fL = 392 Hz
VSOUND = 343 m/s

Homework Equations



Doppler Equation: fL = fs(VSOUND + Vlistener)/(VSOUND + VSource)

The Attempt at a Solution



I solved for the velocity of the source and got 25.38 m/s but I don't really get how I would apply it to this problem. If only I had time.
 
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