Question

An open pipe on an organ creates a fundamental frequency at 10500 Hz. How long is the pipe (speed of sound=343 m/s, unit=m)?

Answer 1

Answer 2

The formula to calculate the wavelength of a sound wave is:

wavelength = speed of sound / frequency

Here, the frequency of the fundamental mode is 10500 Hz and the speed of sound is 343 m/s. We can use these values to calculate the wavelength:

wavelength = 343 m/s / 10500 Hz wavelength = 0.0327 m

Since the pipe is open at both ends, the fundamental frequency corresponds to a wavelength that is twice the length of the pipe. So, we can find the length of the pipe using the following equation:

length = wavelength / 2 length = 0.0327 m / 2 length = 0.01635 m

Therefore, the length of the open pipe is 0.01635 meters or approximately 1.64 cm.