How Wide is the Canyon Based on Echo Time?

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Homework Help Overview

The problem involves calculating the width of a canyon based on the time it takes for an echo to return after a sound is made. The subject area relates to sound propagation and basic physics principles regarding speed and distance.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between the speed of sound and the time taken for the echo to return. There is mention of calculating the total distance traveled by sound and considering that the echo travels to the canyon wall and back.

Discussion Status

Some participants have provided insights into how to approach the problem by emphasizing the need to account for the round trip of the sound. There is an ongoing exploration of the implications of the speed of sound and the time measurement.

Contextual Notes

Participants reference a specific speed of sound and the total time for the echo, but there may be assumptions regarding environmental conditions or variations in sound speed that are not explicitly stated.

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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