The frequency of the middle G note on a piano is 392.00 Hz. 392.00 Hz. What is the wavelength of this note in centimeters? The speed of sound in air is 343.06 m/s.

Respuesta :

Answer:

The wacelength of this note is 87.5 cm

Explanation:

Step 1: Data given

Frequency of the middle G note = 392.00 Hz

The speed of sound in air is 343.06 m/s

Step 2: Calculate the wavelength

The wavelength of a sinusoidal wave travelling at a speed c and frequency f is c/f.

In this case c is the speed of sound of 343.06m/s and the frequency is 392.00 Hz.  

So the wavelength would be c/f = 343.06 / 392.00 = 0.875 m

0.875 m =  87.5 cm

The wacelength of this note is 87.5 cm

The wavelength of this note is 87.5 cm

Calculation of the wavelength?

Since Frequency of the middle G note = 392.00 Hz and the speed of sound in air is 343.06 m/s

So, the wavelength is

= 343.06 / 392.00

= 0.875 m

=  87.5 cm

Here we basically divide the speed of the sound from the  frequency  so that the wavelength could come

Hence, we can conclude that the  wavelength of this note is 87.5 cm

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