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At sea level, sound waves travel at a speed of 330 meters/sec. If the frequency of

middle-C is 440 Hertz, what is the wavelength of the sound wave in centimeters?

2 Answers

1 vote

We know the frequency and the velocity, both of which have good units. All we have to do is rearrange the equation and solve for λ:

λ=vf

Let's plug in our given values and see what we get!

λ=340ms

440s

−1

λ=0.773mAnswer:

Step-by-step explanation:

User Ehcp
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3 votes

Answer:

The wavelength of the sound wave is 75 cm

Step-by-step explanation:

Step 1: Data given

speed of sound = 330 meter / sec

Frequency = 440 Hertz

Step 2: Calculate wavelength of sound wave

speed of sound can be given by the following formule :

v =f*λ

with v= speed of sound = 330 m/s

with λ = wavelength of sound wave = TO BE DETERMINED

with f= frequency = 440 Hertz

λ = v/f = 330 m/s / 440 Hz

λ = 0.75m = 75 cm

The wavelength of the sound wave is 75 cm

User Xcecution
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