Sound Physics Example 2

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Example 2

medium
A sound wave in air has a wavelength of 0.5 m0.5 \text{ m}. What is its frequency? Is this audible? Use v=340 m/sv = 340 \text{ m/s}.

Solution

  1. 1
    Frequency: f=vλ=3400.5=680 Hzf = \frac{v}{\lambda} = \frac{340}{0.5} = 680 \text{ Hz}
  2. 2
    Human hearing range is approximately 20 Hz20 \text{ Hz} to 20,000 Hz20{,}000 \text{ Hz}.
  3. 3
    Since 680 Hz680 \text{ Hz} is within this range, it is audible.

Answer

f=680 Hz (audible)f = 680 \text{ Hz (audible)}
Sound is a longitudinal mechanical wave that requires a medium. Humans can hear frequencies between about 20 Hz20 \text{ Hz} and 20 kHz20 \text{ kHz}.

About Sound

A longitudinal mechanical wave that travels through a medium (solid, liquid, or gas) via alternating compressions and rarefactions of particles.

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