The sound from a mosquito is produced when it beats its wings at the average rate of 559 wing beats per second. What is the wavelength of the sound?

If the speed of sound is v =331 m/s,

λ = v/f =331/559 =0.59 m

To calculate the wavelength of the sound produced by the mosquito, we need to know the speed of sound in air. The speed of sound in dry air at room temperature is approximately 343 meters per second. Now, we can use the formula:

Wavelength = Speed of Sound / Frequency

where the frequency is given in Hertz (Hz). In this case, the frequency is 559 wing beats per second. To convert wing beats per second to Hertz, we simply use the same value since they are equivalent.

Now we can calculate the wavelength:

Wavelength = 343 m/s / 559 Hz

Wavelength ≈ 0.614 meters

Therefore, the wavelength of the sound produced by the mosquito is approximately 0.614 meters.