arielluedtke arielluedtke
  • 07-09-2018
  • Physics
contestada

What is the wavelength of an earthquake wave if it has a speed of 6 km/s and a frequency of 9 Hz?

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arthurpdc
arthurpdc arthurpdc
  • 08-09-2018

We can use the following formula:

[tex]v=\lambda f[/tex]

In wich [tex]v[/tex] is the speed, [tex]\lambda[/tex] is the wavelenght and [tex]f[/tex] is the frequency. Using the SI units:

[tex]v=\lambda f\\\\ \lambda = \dfrac{v}{f}\\\\ \lambda = \dfrac{6~\text{km/s}}{9~\text{Hz}}\\\\ \lambda = \dfrac{6000~\text{m/s}}{9~\text{Hz}}\\\\ \boxed{\lambda \approx 666.67~m}[/tex]

Hence, the wavelenght is approximately 666.67 m

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