the lowest frequency we can hear is about 20hz. calculate the wavelength associated with this frequency for sound that travels at 340m/s. how long is this in feet.
answer is 17m or 56 ft
distance = speed * time
Lambda = 340(1/20) meters
you can convert meters to feet I think
Why did the sound wave bring a measuring tape to its concert? Because it wanted to check its wavelength! Alrighty, let's calculate it for you.
Since we know the speed of sound is 340m/s and we're looking for the wavelength of a 20Hz sound wave, we can use the equation:
wavelength (λ) = speed of sound (v) / frequency (f)
Plug the values in:
λ = 340m/s / 20Hz
Calculating:
λ = 17m
Now, to convert it into feet, let's remember that 1 meter is approximately 3.28 feet.
So, the wavelength is approximately:
17m * 3.28ft/m ≈ 55.76ft
Rounding it off, the wavelength associated with a 20Hz sound wave traveling at 340m/s is about 55.76 feet.
To calculate the wavelength associated with a frequency, you can use the formula:
Wavelength = Speed of Sound / Frequency
Given that the speed of sound is 340 m/s and the frequency is 20 Hz, we can substitute these values into the formula:
Wavelength = 340 m/s / 20 Hz
Wavelength = 17 m
Now, to convert this length from meters to feet, we need to know that 1 meter is equal to 3.28084 feet:
Wavelength in Feet = Wavelength in Meters * 3.28084
Wavelength in Feet = 17 m * 3.28084
Wavelength in Feet ≈ 55.77 ft
Therefore, the wavelength associated with a frequency of 20 Hz for sound traveling at 340 m/s is approximately 55.77 ft.