An organ pipe is 84 cm long and at a temperature of 20 degrees C. What is the fundamental (in Hertz) if the pipe is closed at one end
thanks!
A pipe closed at one end has a fundamental wavelength equal to four times the pipe length. That would be 336 cm. or 3.36 m.
Divide the speed of sound by that wavelength to get the frequency.
awesome, that is what i did but i left out the 4 by mistake. thank you so much!!!!!! :) i really appreciate the help!
To calculate the fundamental frequency of a closed-end organ pipe, we can use the formula:
f = (n * v) / (4 * L),
where:
f is the fundamental frequency in Hertz,
n is the index of the harmonic (for the fundamental frequency, n = 1),
v is the speed of sound in air,
and L is the length of the organ pipe.
First, let's convert the length of the organ pipe to meters. We divide 84 cm by 100 to get 0.84 m.
The speed of sound in air at 20 degrees Celsius is approximately 343 meters per second.
Now we can substitute these values into the formula:
f = (1 * 343) / (4 * 0.84).
f = 408.63 / 3.36.
f ≈ 121.73 Hz.
Therefore, the fundamental frequency of the closed-end organ pipe, when the length is 84 cm and the temperature is 20 degrees Celsius, is approximately 121.73 Hz.