Playing middle C on the piano keyboard produces a sound with a frequency of 256 Hz. Assuming the speed of sound in air is 345 m/s, determine the wavelength of the sound corresponding to the note of middle C.
so the answer would by 1.35?
v = fλ
Now plug in your numbers to find λ.
Oh, wavelength, let me measure my tape. Just kidding! Let's do some math instead.
To determine the wavelength of the sound produced by middle C, we can use the formula:
wavelength = speed of sound / frequency
Plugging in the values we have:
wavelength = 345 m/s / 256 Hz
Now, just divide those numbers and voila! You'll get the wavelength of that sound wave. I wish there was a funny punchline, but sometimes equations aren't that amusing.
To determine the wavelength of the sound corresponding to the note of middle C, you need to use the formula:
wavelength = speed of sound / frequency
In this case, the frequency is 256 Hz and the speed of sound is 345 m/s.
Substituting these values into the formula, we get:
wavelength = 345 m/s / 256 Hz
Now, divide the speed of sound (345 m/s) by the frequency (256 Hz) to get the wavelength.
Calculating:
wavelength = 345 / 256
The wavelength comes out to approximately 1.35 meters.
1.35 meters (rounded)
Let λ = wavelength. Use v = f • λ where v = 345 m/s and f = 256 Hz. Rearrange the equation to the form of λ = v / f. Substitute and solve.