A length of organ pipe is closed at one end.
If the speed of sound is 344 m/s, what length of pipe is needed to obtain a funda- mental frequency of 70 Hz? Answer in units of m.
explain Lambda? I was sick and missed class?
To find the length of the organ pipe needed to obtain a fundamental frequency of 70 Hz when the pipe is closed at one end, we can use the formula for the fundamental frequency of a closed-end organ pipe:
f = (v / 2L)
Where:
f is the fundamental frequency,
v is the speed of sound in the medium (344 m/s in this case), and
L is the length of the pipe.
Rearranging the formula, we get:
L = v / (2f)
Substituting the given values into the equation, we have:
L = 344 m/s / (2 * 70 Hz)
Simplifying further:
L = 1.2357 m
Therefore, a length of approximately 1.24 meters of organ pipe is needed to obtain a fundamental frequency of 70 Hz.
To find the length of the organ pipe needed to obtain a fundamental frequency of 70 Hz, we can use the formula for the speed of sound in a pipe with a closed end:
v = (2Lf) / n
Where:
v = speed of sound
L = length of the pipe
f = frequency of the sound wave
n = harmonic number (in this case, since it's the fundamental frequency, n = 1)
We can rearrange the formula to solve for L:
L = (v * n) / (2f)
Now we can plug in the given values:
L = (344 m/s * 1) / (2 * 70 Hz)
L = 344 m/s / 140 Hz
L ≈ 2.457 m
Therefore, the length of the pipe needed to obtain a fundamental frequency of 70 Hz is approximately 2.457 meters.
70*lambda=340 solve for lambda
then, length of pipe is 1/4 lambda