Question

Tsunamis are fast-moving waves often generated by underwater earthquakes. In the deep ocean their amplitude is barely noticable, but upon reaching shore, they can rise up to the astonishing height of a six-story building. One tsunami, generated off the Aleutian islands in Alaska, had a wavelength of 668 km and traveled a distance of 3180 km in 4.81 h. (a) What was the speed (in m/s) of the wave

Answer 1

215.5 m/s

Step-by-step explanation:

Given that:

the wavelength λ = 668 km

distance (d) = 3180 km

time t = 4.81 hr

`a) speed (v) =(distance)/(time)`

`speed (v) =(3180)/(4.1)`

`speed (v) =775.61 \ km/h`

`speed (v) =((775.61* 1000 )/(3600)) \ m/s`

`speed(v) = 215.5 \ m/s`

The frequency is:

`f = (v)/(\lambda)`

`f = (215.5 )/(668 * 1000)`

`f = 3.226 * 10^(-4) \ Hz`

c)

The period:

`T = (1)/(f)`

`T = (1)/(3.226 * 10^(-4))`

T = 3099.8 seconds