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Tsunamis are fast-moving waves often generated by underwater earthquakes. In the deep ocean their amplitude is barely noticeable, but upon reaching shore they can rise to an astonishing height of a six-story building. One tsunami generated off the Aleutian Islands in Alaska, had a wavelength of 897km and traveled a distance of 3280km in 4.18h. (a) What was the speed (in m/s) of the wave? Find the waves (b) Frequency and (c) Period.

Respuesta :

It is given that,

wavelength, [tex]\lambda=897\ Km[/tex]

distance covered, [tex]d=3280\ Km[/tex]

time, [tex]t=4.18\ h[/tex]

(a) Speed is, [tex]s=\dfrac{d}{t}[/tex]

[tex]s=\dfrac{3280\ Km}{4.18\ h}[/tex]

[tex]s=784.6\ Km/h[/tex]

[tex]s=784.6\times \dfrac{5}{18}\ m/s[/tex]

[tex]s=218\ m/s[/tex]

(b) Frequency is, [tex]\nu=\dfrac{v}{\lambda}[/tex]

So, [tex]\nu=\dfrac{784.6\ Km/h}{897km}[/tex]

[tex]\nu=0.874\ Hz[/tex]

(c) Time period, [tex]T=\dfrac{1}{\nu}[/tex]

[tex]T=1.144\ h[/tex]

Hence, this is the required solution.

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