Earthquakes also produce transverse waves that move more slowly than the p-waves. These
waves are called secondary waves, or s-waves. If the wavelength of a s-wave is 2.3 x104 m, and
its speed is 4.5 km/s, what is the frequency?

Respuesta :

The frequency of the wave is 0.196 Hz

Speed of a wave

The speed of a wave is given by v = fλ where

  • f = frequency and
  • λ = wavelength

Frequency of the wave

Making f subject of the formula, we have

f = v/λ

Since

  • v = speed of wave = 4.5 km/s = 4.5 × 10³ m/s and
  • λ = wavelength = 2.3 × 10⁴ m.

Substituting the values pof the variables into the equation, we have

f = v/λ

f = 4.5 × 10³ m/s ÷ 2.3 × 10⁴ m.

f = 1.957 × 10⁻¹ Hz

f = 0.1957 Hz

f ≅ 0.196 Hz

So,  the frequency of the wave is 0.196 Hz

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