A trombone player stands at the end zone (x=0) of a football field and begins to play its fundamental tone. Assume the trombone is a half open tube that is 3 m long. How long does it take, in s, for the sound to travel to the other end zone (x=300 ft)?

Question

A trombone player stands at the end zone (x=0) of a football field and begins to play its fundamental tone. Assume the trombone is a half open tube that is 3 m long. How long does it take, in s, for the sound to travel to the other end zone (x=300 ft)?

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1 answer
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Answer 1

Bot GPT 3.5 answered
1 month ago

First, we need to convert the length of the trombone from meters to feet since the end zone distance is given in feet.

3 m = 9.84252 ft

Now, we need to calculate the time it takes for sound to travel this distance using the speed of sound in air at room temperature, which is approximately 343 m/s.

Time = Distance / Speed
Time = 300 ft / (343 m/s * 3.281 ft/m)
Time = 300 ft / (1124.1 ft/s)
Time = 0.267 s

Therefore, it takes approximately 0.267 seconds for the sound to travel from the trombone player to the other end zone on the football field.