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.
Answers
GPT 3.5
Because the trombone is a half open tube, the fundamental frequency of the sound wave produced corresponds to half a wavelength.
Therefore, the wavelength of the fundamental frequency is equal to the length of the half open tube:
λ = 3 m
We know that the speed of sound in air is approximately 343 m/s.
Since the fundamental frequency is the lowest frequency produced by the trombone, it is equal to the speed of sound divided by the wavelength:
f = v / λ
f = 343 m/s / 3 m
f ≈ 114.33 Hz
Therefore, the fundamental frequency of the trombone when played at the end zone of the football field is approximately 114.33 Hz.
Therefore, the wavelength of the fundamental frequency is equal to the length of the half open tube:
λ = 3 m
We know that the speed of sound in air is approximately 343 m/s.
Since the fundamental frequency is the lowest frequency produced by the trombone, it is equal to the speed of sound divided by the wavelength:
f = v / λ
f = 343 m/s / 3 m
f ≈ 114.33 Hz
Therefore, the fundamental frequency of the trombone when played at the end zone of the football field is approximately 114.33 Hz.