The beat frequency is the difference between the frequencies of two interfering waves. To calculate the beat frequency, we need to determine the frequencies of the sound waves based on their wavelengths.
The formula to calculate the frequency of a wave is:
Frequency = Speed of Sound / Wavelength
For the first sound wave with a wavelength of 5.72 m: Frequency1 = Speed of Sound / Wavelength1 = 343 m/s / 5.72 m
For the second sound wave with a wavelength of 11.44 m: Frequency2 = Speed of Sound / Wavelength2 = 343 m/s / 11.44 m
Once we have the frequencies, we can find the beat frequency by subtracting the lower frequency from the higher frequency:
Beat Frequency = |Frequency1 - Frequency2|
Let's calculate the beat frequency:
Frequency1 = 343 m/s / 5.72 m = 59.97 Hz Frequency2 = 343 m/s / 11.44 m = 29.98 Hz
Beat Frequency = |59.97 Hz - 29.98 Hz| = 29.99 Hz
Therefore, the beat frequency you would hear from these two sound waves is approximately 29.99 Hz.