High School

Sound travels at approximately 360 meters per second. What is the wavelength of sound with a frequency of 1500 Hz?

Answer :

The wavelength of a sound with a frequency of 1500 Hz, travelling at 360 m/s, is 0.24 meters. This can be calculated using the formula Wavelength = Speed of Sound / Frequency.

The student is asking about the relationship between the speed of sound, its frequency, and its wavelength. This is a topic in Physics, specifically in wave mechanics. The wavelength can be calculated using the formula: Wavelength (λ) = Speed of Sound (v) / Frequency (f)

Given that:

  • Sound of speed (v) is 360 m/s
  • Frequency (f) is 1500 Hz

We substitute these values into the formula:

λ = 360 m/s / 1500 Hz = 0.24 meters

So, the wavelength of a sound with a frequency of 1500 Hz, travelling at 360 m/s, is 0.24 meters.

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The wavelength of sound with a frequency of 1500 Hz is approximately 0.24 meters.

How to calculate the wavelength of sound

To calculate the wavelength of sound, use the formula:

wavelength = speed / frequency

Given:

Speed of sound = 360 meters/sec

Frequency = 1500 Hz

Substituting these values into the formula

wavelength = 360 meters/sec / 1500 Hz

Calculating this:

wavelength ≈ 0.24 meters

Therefore, the wavelength of sound with a frequency of 1500 Hz is approximately 0.24 meters.

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