How long does it take for sound to travel 1 mile at a speed of 740 mph?

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Homework Help Overview

The discussion revolves around the time it takes for sound to travel a distance of 1 mile, specifically in the context of two aircraft flying in formation and the sound produced by one of them. The subject area includes concepts related to sound speed and relative motion.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the speed of sound and its relationship to the motion of the aircraft. Questions arise regarding the closure rate of sound relative to the aircraft and whether the speed of sound should be adjusted based on the aircraft's speed.

Discussion Status

There is an ongoing examination of assumptions regarding sound speed and relative motion. Some participants clarify that sound travels at a constant speed regardless of the source's motion, while others are questioning the implications of this on the timing of when the sound is heard.

Contextual Notes

One participant notes that they are not currently in a formal educational setting, which may influence the nature of the discussion but does not change the homework-like characteristics of the question.

thetexan
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Let's assume a speed of sound of approximately 740 mph at sea level.

If I there are two aircraft traveling in formation 1 mile apart (one in front of the other) at 730 miles per hour, how long will it take for the sound of single gunshot fired from the trailing aircraft to reach the lead aircraft?

I say the sound is traveling at 740mph + the 730mph of the trailing aircraft therefore the sound is closing the distance at 740mph so the time is 3600/740=4.86 seconds.

Is this a correct assumption?

tex
 
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I moved the thread to our homework section.
thetexan said:
I say the sound is traveling at 740mph + the 730mph of the trailing aircraft
No. It does not matter where sound comes from, it always moves at 740 mph relative to the air.
 
So, am I correct that the closure rate of the sound from the trailing aircraft to the lead aircraft is 10mph relative? Which would mean the gunshot would be heard 6 minutes after the event? Is this approximately correct?

tex

PS. I'm 62, not taking classes, and this is not homework, FYI. If that makes any difference.
 
Right.

The forums are sorted by the type of question, it doesn't matter if it is an actual homework assignment - the question is homework-like.
 

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