Question

The musical note A above middle C has a frequency of 440 Hz. If the speed of the sound is known to be 350 m/s, what is the wavelength of this note? Round your answer to the nearest hundredth (2 decimal places)

Answer 1

The wavelength of the musical note A with a frequency of 440 Hz and a speed of 350 m/s is 0.80 m when rounded to the nearest hundredth.

Step-by-step explanation:

To calculate the wavelength of the musical note A, which has a frequency of 440 Hz and is known to travel at a speed of 350 m/s, we can use the formula for wave speed: Speed (v) = Frequency (f) × Wavelength (λ).

First, we need to rearrange the formula to solve for the wavelength (λ):

λ = v / f

Plugging the values into the formula:

λ = 350 m/s / 440 Hz

λ = 0.79545...

After rounding to the nearest hundredth, the wavelength is λ = 0.80 m.