How Wide is the Canyon Based on Echo Time?

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To calculate the width of a canyon based on an echo time of 0.80 seconds, the speed of sound at 332 m/s is used. The total distance the sound travels is the product of speed and time, which accounts for the sound traveling to the canyon wall and back. Therefore, the sound travels for 0.80 seconds, resulting in a total distance of 265.6 meters. The width of the canyon is half of this distance, measuring approximately 132.8 meters. Understanding this calculation allows for accurate determination of canyon width based on echo time.
king_2005
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If you shout across a canyon and hear the echo 0.80 second later, how wide is the canyon?
 
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Well if you know the speed of sound, you can determine how many miles the sound's path was if you know the time it took.
 
tHE SPEED OF THE SOUND IS 332 M/S
 
Well if you have the speed of sound and the time... you can determine how far the sound traveled.

Remember that it travels across the grand canyon and back in that 0.8 seconds so its width is 1/2 the distance the sound went.
 

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