Solving Sound-Related Questions: Find the Answers!

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SUMMARY

This discussion addresses two sound-related problems involving underwater acoustics and wave interference. The first problem calculates the distance to the nearest underwater reflecting surface based on a sound return time of 3 seconds and a sound speed of 1440 m/s in water, resulting in a distance of 2160 meters. The second problem involves a tuning fork with a frequency of 324 Hz and a sound speed of 336 m/s in air, requiring the calculation of the water column height for the first constructive interference, which is determined by the wavelength of the sound wave.

PREREQUISITES
  • Understanding of sound speed in different mediums (water and air)
  • Knowledge of wave frequency and wavelength calculations
  • Familiarity with the concept of constructive interference in wave physics
  • Basic mathematical skills for solving physics problems
NEXT STEPS
  • Learn how to calculate sound wave distances using time and speed formulas
  • Study the relationship between frequency, wavelength, and speed of sound in various mediums
  • Explore the principles of wave interference and how to identify nodes and antinodes
  • Investigate practical applications of sound in underwater environments
USEFUL FOR

Students studying physics, educators teaching acoustics, and anyone interested in sound wave behavior in different environments.

Markd
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Hi,

I am having problems with 2 sound related questions


1) While diving you make a loud clank with your oxygen tanks on a rock, how far away are you from the nearest underwater reflecting surface if the sound returns to you in 3.00s (assume the speed of sound in water to be 1440m/s)

2) A tuning fork with a frequency of 324Hz is held over a tube whose length can be changed by raising and lowering a column of water in the tube. The surface of the water, initially very near to the top of the tube is gradually lowered if the speed of sound in air is 336m/s how far from the top of the tube is the surface of the water when the first point of constructive interference is detected

I really did try to figure them out but must be missing something any hints?
 
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1) While diving you make a loud clank with your oxygen tanks on a rock, how far away are you from the nearest underwater reflecting surface if the sound returns to you in 3.00s (assume the speed of sound in water to be 1440m/s)

Well that's pretty easy isn't it? the sound has to travel to the "reflecting surface" and then back again in 3 seconds. How far can sound travel in 3 seconds? What is half of that?

2) A tuning fork with a frequency of 324Hz is held over a tube whose length can be changed by raising and lowering a column of water in the tube. The surface of the water, initially very near to the top of the tube is gradually lowered if the speed of sound in air is 336m/s how far from the top of the tube is the surface of the water when the first point of constructive interference is detected
If the frequency is 324 waves per second and the speed is 336 m/s, how long is one wave? Since a "node" occurs at the midpoint of a wave, how long can the distance from one node to another be?
 
Great thanks!

It was the "node" part of the question that confused me =/
 

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