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tsunamis are fast moving waves often generated by underwater earthquakes. In dee

ID: 1540954 • Letter: T

Question

tsunamis are fast moving waves often generated by underwater earthquakes. In deep ocean their amplitude is barely noticeable, but upon reaching the shore, they can rise up to the astonishing height of six story building. A recent tsunami has been estimated by some to have a wavelength of 750 km and traveled distance of 3700 km in 5.3 hours. find the wave's frequency, speed and period. As a reference also compare waves speed to that of standard passenger jet of 250 m/s. Assuming that wave would have an amplitude of six story, with 4m per story, write the equation of wave (as a cosine wave)

Explanation / Answer

a) speed = distance / time
speed = 3700*1000 / (5.3*3600)
speed = 3700000 / 19080
speed = 193.92 m/s to two significant figures.

b) f = c /
f = 193.92 / 750000
f = 2.59 * 10^-4 Hz to two significant figures.

c) T = 1 / f
T = 1 / (2.59 * 10^-4)
T = 3867.57 s to two significant figures.