Calculating Sound Travel Time at 20°C

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SUMMARY

The discussion focuses on calculating the time required for sound to travel a distance of 1.90 meters at an air temperature of 20°C. The speed of sound in air at this temperature is approximately 343 meters per second. To find the travel time, the formula time = distance / speed is applied, resulting in a calculated time of approximately 0.0055 seconds. Participants clarified that the ideal gas approximation formula for speed of sound involves the molar mass of air, not the distance.

PREREQUISITES
  • Understanding of basic physics concepts, specifically sound propagation.
  • Familiarity with the formula for calculating speed: speed = distance / time.
  • Knowledge of the speed of sound in air at different temperatures.
  • Basic understanding of the ideal gas law and its application to sound speed calculations.
NEXT STEPS
  • Research the speed of sound in various gases and how temperature affects it.
  • Learn about the ideal gas law and its implications for sound propagation.
  • Explore practical applications of sound travel time calculations in acoustics.
  • Investigate how different environmental factors influence sound speed.
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Students studying physics, acoustics professionals, and anyone interested in the principles of sound travel and its calculations.

sheri1987
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Homework Statement



The distance between a loudspeaker and the left ear of a listener is 1.90 m.

(a) Calculate the time required for sound to travel this distance if the air temperature is 20°C.


Homework Equations


I am not sure, I tried looking in my text...but the only equation I could come up with is velocity = sqroot(ykT/m)
where y = specific heat, k is the Boltzmann constant, T is the given temp in K, and m is the distance..


The Attempt at a Solution



I have no idea where to even start, because only 2 things are known x in meters and the Temp 20 deg or 293 K. Can anyone help me out?
 
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You need the speed of sound in air. You can either look up the experimental real value or use the ideal gas approximation root(ykT/m) but here m is the molar mass of air not the distance!
You then use speed and distance to get the time.
 
what equation can you solve for time by having speed and distance?
 
sheri1987 said:
what equation can you solve for time by having speed and distance?

Did you really mean to write that!
What is the definition of speed?
 

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