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 716 km and traveled a distance of 3130 km in 6.25 h. a. What was the speed (in m/s) of the wave.For reference, the speed of a 747 jetliner is about 250 m/s.b. Find the wave's i. Frequency ii. Period.

Answer 1

Answer:

139.11 m/s

0.000194287 Hz

5147.00596 s

Explanation:

$\lambda$ = Wavelength = 716 km

s = Distance = 3130 km

t = Time = 6.25 h

Speed is given by

$v=\dfrac{s}{t}\\\Rightarrow v=\dfrac{3130\times 1000}{6.25\times 3600}\\\Rightarrow v=139.11\ m/s$

Speed of the wave is 139.11 m/s

Frequency is given by

$f=\dfrac{v}{\lambda}\\\Rightarrow f=\dfrac{139.11}{716000}\\\Rightarrow f=0.000194287\ Hz$

The frequency is 0.000194287 Hz

Period is given by

$T=\dfrac{1}{f}\\\Rightarrow T=\dfrac{1}{\dfrac{139.11}{716000}}\\\Rightarrow T=5147.00596\ s$

The period is 5147.00596 s