A sound wave in air has a frequency of 240 Hz and travels with a speed of 334.7 m/s. How far apart are the wave crests (compressions)?
d = = (1/240)*334.7 = 1.395 m.
To find the distance between wave crests (compressions), we need to calculate the wavelength of the sound wave. The wavelength (λ) is the distance between two consecutive crests or compressions.
The formula to calculate the wavelength is:
λ = v/f
Where:
λ is the wavelength
v is the speed of sound in air (334.7 m/s)
f is the frequency of the sound wave (240 Hz)
Substituting the given values into the formula, we get:
λ = 334.7 m/s / 240 Hz
Now, let's calculate the wavelength:
λ = 1.3945 meters (rounded to four decimal places)
Therefore, the distance between wave crests (compressions) is approximately 1.3945 meters.