Calculating the speed of an ultrasound wave in an unknown liquid

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SUMMARY

The speed of sound in an unknown liquid was calculated using an ultrasound unit emitting a 2.40 MHz sound wave in a 25.0 cm tube. The time interval between the transmitted and reflected waves was determined to be 440 μs, leading to the calculation of the speed as 1136.36 m/s. The formula used was v = d/t, where d is the total distance traveled (0.5 m) and t is the time interval (4.4 * 10^-4 seconds). This method effectively demonstrates the application of basic physics equations in determining sound speed in liquids.

PREREQUISITES
  • Understanding of wave properties, specifically sound waves
  • Familiarity with the oscilloscope and its time sweep settings
  • Knowledge of basic physics equations, particularly v = d/t and v = λf
  • Ability to convert units consistently (e.g., cm to m, μs to seconds)
NEXT STEPS
  • Explore the principles of ultrasound technology and its applications
  • Learn about the effects of temperature and pressure on sound speed in liquids
  • Investigate the use of different frequencies in ultrasound for various materials
  • Study advanced wave propagation concepts, including reflection and refraction
USEFUL FOR

Students in physics or engineering, educators teaching wave mechanics, and professionals working with ultrasound technology in various applications.

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Homework Statement



An ultrasound unit sends a 2.40 MHz sound wave into a 25.0-cm-long tube filled with an unknown liquid. A small microphone right next to the ultrasonic generator detects both the transmitted wave and the sound wave that has reflected off the far end of the tube. The two sound pulses are 4.40 divisions apart on an oscilloscope for which the horizontal time sweep is set to 100μs/division

What is the speed of sound in this liquid?

Homework Equations



v=d/t
v=λf

The Attempt at a Solution



Honestly, I have no clue...
 
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The microphone detects the transmitted and reflected wave.

Time interval between signals (transmitted and reflected pulses) is 4.4 div * 100μs/division or _________ μs?

The wave had to travel 2 lengths (down and back) of a 25 cm tube in that time. Make sure units are consistent.
 
THANK YOU! GREATLY APPRECIATED!

i had figured that it was 440μs but didnt know where to go from there...

THANKS ONCE AGAIN!
 
As reference to anyone else who may need this problem:

50cm = 0.5m
4.3 divisions * 100μs/division = 440μs
440μs = 4.4*10^-4 seconds

0.5/(4.4*10^-4) = 1136.363636363636363636... m/s
 

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