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The speed of sound at room temperature is 346 m/s. What is the frequency of a wave with a wavelength of 2.5 mm? What is the period?​

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P1GGYIN

SOUND WAVES

[tex]__________________________[/tex]

A. Frequency

Given:

  • Velocity = 346 m/s
  • Wavelength = 2.5 mm

Answer & Solution:

[tex]\sf \large F = \frac{velocity}{wavelength} [/tex]

[tex]\sf \large F = \frac{346 \: m/s}{2.5 \: mm} [/tex]

[tex]\sf \large F = \boxed{ \sf 138.4 \: Hz}[/tex]

↬ The frequency of the wave is 138.4 hertz

B. Wave Period

Given:

  • Frequency = 138.4 Hz

Answer & Solution:

[tex]\sf \large P = \frac{1}{frequency} [/tex]

[tex]\sf \large P = \frac{1}{138.4 \: Hz} [/tex]

[tex]\sf \large P = \boxed{ \sf 0.007 \: s}[/tex]

↬ The wave period is 0.007 seconds