sunamis are fast-moving waves generated by underwater earthquakes. In the deep o
ID: 1377240 • Letter: S
Question
sunamis are fast-moving waves generated by underwater earthquakes. In the deep ocean their amplitude is barely noticeable, 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 750 km and traveled a distance of 3700 km in 5.1 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. m/s (b) Find the wave's frequency. Hz (c) Find the wave's period.Explanation / Answer
speed = distance/timeWavelength (?) = speed (v) divided by the frequency (f)
? = v / f
f = v / ?
3700 km / 501 hours = 725.5 km / hour
1 hour = 60 minutes * 60 seconds = 3,600 seconds
(725.5 km / hour) * (hour / 3,600 seconds) = 0.20153 km / second = 201.53 meters / second
f = v / ?
f = (201.53 meters / second) / (750,000 m)
f = 2.687E-4 wave per second
f = 268.7. micro-wave per second
T = 1 / f
T = 1 / (268.7E-6 wave per second)
T = 3,721.57 seconds per wave
T = 62.026 minutes per wave
speed of wave = frequency x wavelength
period = 1/frequency
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