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What is the wavelength (in feet) of a 600 hz sound wave (assume speed of sound in air is 1125 ft/s; round to the nearest second decimal place e.g. 1.255 = 1.26)?

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Eduard22sly

The wavelength (in feet) of the sound wave with a velocity of 1125 ft/s and a frequency of 600 Hz is 1.88 ft

Relation of velocity, frequency and wavelength of a wave

The velocity of a wave is related to its frequency and wavelength according to the following equation:

Velocity (v) = wavelength (λ) × frequency (f)

v = λf

How to determine the wavelength of the wave

From the question given, the following data were obtained:

  • Frequency (f) = 600 Hz
  • Velocity (v) = 1125 ft/s
  • Wavelength (λ) =?

The wavelength of the wave can be obtained as follow:

v = λf

Divide both sides by f

λ = v / f

λ = 1125 / 600

λ = 1.88 ft

Thus, the wavelegth of the wave is 1.88 ft

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