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30 May, 00:20

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.

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  1. 30 May, 00:33
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    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
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