Answer: 161.44 Hz
Explanation:
To find the frequency of the sound wave in the pipe, we can use the formula:
Frequency = (v / λ) * n
where:
- v is the speed of sound in air (343 m/s),
- λ (lambda) is the wavelength of the sound wave, and
- n is the number of nodes (9 nodes in this case).
First, we need to find the wavelength of the sound wave. Since the pipe has 9 nodes, there are 10 segments of the wave within the pipe. The pipe is a closed-closed pipe, so the length of the pipe is equal to a quarter of the wavelength (λ/4).
Given the length of the pipe is 476 cm (or 4.76 m), we can calculate the wavelength:
Wavelength (λ) = 4 * Length of the Pipe = 4 * 4.76 = 19.04 m
Now, we can calculate the frequency using the formula:
Frequency = (343 / 19.04) * 9 ≈ 161.44 Hz
Therefore, the frequency of the sound wave in the pipe is approximately 161.44 Hz.
