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)?
To find the time it takes for the sound to travel from one end zone to the other, we need to find the time it takes for the sound wave to travel a distance of 300 ft.
First, let's convert 300 ft to meters. We know that 1 ft is equal to 0.3048 m.
300 ft * 0.3048 m/ft = 91.44 m
Now let's consider the speed of sound in air. The speed of sound in air is approximately 343 m/s.
Using the formula:
Speed = Distance/Time
we can rearrange the formula to:
Time = Distance/Speed
Time = 91.44 m / 343 m/s ≈ 0.267 s
Therefore, it takes approximately 0.267 seconds for the sound to travel from one end zone to the other.