How Far Does a Tuning Fork Travel While Emitting Sound Waves?

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SUMMARY

The discussion centers on calculating the distance a tuning fork travels while emitting sound waves, specifically when a tuning fork vibrating at 512 Hz falls from rest with an acceleration of 9.81 m/s². The sound waves of frequency 485 Hz reach the release point after the fork has fallen. The speed of sound in air is given as 340 m/s, and the problem requires the application of the Doppler effect and kinematic equations to determine the distance traveled by the tuning fork before the sound waves arrive.

PREREQUISITES
  • Understanding of kinematic equations for uniform acceleration
  • Knowledge of the Doppler effect and its application to moving sources
  • Familiarity with wave properties, specifically frequency and wavelength
  • Basic physics concepts related to sound propagation in air
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  • Study the Doppler effect and its mathematical formulation
  • Review kinematic equations and their applications in physics problems
  • Learn how to calculate wave speed using frequency and wavelength
  • Explore sound wave propagation and factors affecting speed in different mediums
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Students studying physics, particularly those focusing on wave mechanics and motion, as well as educators looking for practical examples of sound wave behavior and kinematics.

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Homework Statement


A tuning fork vibrating at 512 hertz falls from rest and accelerates at 9.81 m/s^2. How far below the point of release is the tuning fork when waves of frequency 485 Hz reach the release point? take the speed of sound in air to be 340 m/s. (don't forget it takes the sound extra time to reach the release point)


Homework Equations


v = f x wavelength
v = d/t

The Attempt at a Solution


i don't know how to approach this problem, i was thinking of using kinematics but i don't know what v2 is and i wouldn't using the frequencies given
 
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Hey,

I think you need to use the equation for the Doppler effect on moving sources to find V_{2} then apply the kinematic equations for uniform acceleration. Have you come across the Doppler effect before?

Vuldoraq
 

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