Human fingers are very sensitive, detecting vibrations with amplitudes as low as 2.4 × 10 − 5 m. Consider a sound wave with a wavelength exactly 1000 times greater than the lowest amplitude detectable by fingers. The speed of sound in air is 377 m/s. What is this wave’s frequency?

Question

Human fingers are very sensitive, detecting vibrations with amplitudes as low as   2.4  ×      10          −      5       m. Consider a sound wave with a wavelength exactly 1000 times greater than the lowest amplitude detectable by fingers. The speed of sound in air is 377 m/s. What is this wave’s frequency?

tiltat9h · Accepted Answer

Wavelength   =  1000  × Lowest amplitude  λ  =  1000  ×  2.4  ×      10          −      5        m  =  2.4  ×      10          −      2        mSpeed, wavelength and frequency are related as  v  =  f  λ  f  =      v    λ    =            377      m              /            s              2.4      ×              10                  −          2                    m        =  15708.3  H  z

Human fingers are very sensitive, detecting vibrations with amplitudes as low as 2.4 X 10^-5 m. Consider a sound wave with a wavelength exactly 1000 times greater than the lowest amplitude detectable by fingers. The speed of sound in air is 377 m/s. What is this wave’s frequency?

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