A fundamental standing wave is produced in a pipe that is opened at both ends. The pipe is 0.50m long. If the speed of sound is 343 m/s, what is the frequency of that wave?
well, the pipe is 1/2 wavelength, so wavelength= 1 meter.
f*lambda=343
f= 343/1=343 hz
To find the frequency of the fundamental standing wave in a pipe that is opened at both ends, you can use the formula:
f = v / λ
Where:
f is the frequency of the wave (in hertz),
v is the speed of sound (in meters per second), and
λ is the wavelength of the wave (in meters).
In this case, the pipe is open at both ends, so the fundamental standing wave has a half-wavelength (λ/2) between the two ends. Thus, we can calculate the wavelength using the length of the pipe:
λ = 2L
= 2 * 0.50m
= 1.00m
Now, substitute the values of v = 343 m/s and λ = 1.00m into the formula:
f = 343 m/s / 1.00m
= 343 Hz
Therefore, the frequency of the fundamental standing wave in the pipe is 343 Hz.