An audible standing wave is produced when air is blown across a pipe that is open at both ends. If the pipe is 29 cm tall, what is the frequency of sound produced?
To determine the frequency of the sound produced by an audible standing wave in a pipe, we need to use the formula:
f = v / λ
Where:
f is the frequency of the sound wave,
v is the velocity of sound,
and λ (lambda) is the wavelength of the standing wave.
In this case, the pipe is open at both ends, which means the pipe will produce a fundamental frequency, also known as the first harmonic. For a pipe open at both ends, the wavelength of the first harmonic is equal to twice the length of the pipe:
λ = 2L
Now, let's plug in the given values:
L = 29 cm = 0.29 m (since 1 cm = 0.01 m)
λ = 2 * 0.29 = 0.58 m
The velocity of sound in air at room temperature is approximately 343 m/s.
Finally, we can calculate the frequency using the formula:
f = v / λ
f = 343 / 0.58 = 591.38 Hz
Therefore, the frequency of the sound produced is approximately 591.38 Hz.