Trig type question -- Speed of sound in water and in air

  • #1
classicswiss
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New user has been reminded to show their work on schoolwork questions
Homework Statement:
An explosion occurs on the surface of a lake, and the explosion is felt some distance from the site or origin by a hydrophone below the water and by a microphone in air directly above the microphone. Taking the speed of sound in air to be 343m/s and the speed of sound in water to be 1,500 and a delay of 0.3 seconds between both the hydrophone and microphone receiving it, how far is the hydrophone from the explosion?
Relevant Equations:
speed= distance / time
unsure
 

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  • #2
haruspex
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Homework Statement:: An explosion occurs on the surface of a lake, and the explosion is felt some distance from the site or origin by a hydrophone below the water and by a microphone in air directly above the microphone. Taking the speed of sound in air to be 343m/s and the speed of sound in water to be 1,500 and a delay of 0.3 seconds between both the hydrophone and microphone receiving it, how far is the hydrophone from the explosion?
Relevant Equations:: unsure

unsure
It's a question about distances speeds and times. If you've not encountered any relevant equations for that combo your education is sorely lacking.

Per forum rules , you must show some attempt.
 
  • #3
Delta2
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If we assume that the phrase "directly above the hydrophone" means that the vertical distance between the hydrophone and the microphone is negligible, then it is a simple linear (first degree) equation you have to solve to answer this.
Assume ##x## is the distance of the hydrophone from the explosion and ##t=0 ## is the time that the explosion happens. Try to answer the following two questions (answer will be in terms of ##x## and the speed of sound in water and/or in air)
  1. After how much time ##t_1## the microphone picks the sound ,
  2. After how much time ##t_2## the hydrophone picks the sound.
It is given that ##t_1-t_2=0.3## so if you answer the above two questions, you can plug the expressions of ##t_1## and ##t_2## in the latter equation and solve for ##x##.
 

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