What is the wavelength of an earthquake that shakes you with a frequency of 10.0 Hz and gets to another city 84.0 km away in 12.0 s?
hat is the wavelength of an earthquake that shakes you with a frequency of 12.5 Hz and gets to another city 90.0 km away in 12.0 s?
.7km
To find the wavelength of an earthquake wave, we need to use the formula:
wavelength = velocity / frequency
Where the velocity is determined by the time it takes for the wave to travel between two points and the distance between those points. In this case, the distance between the two cities is given as 84.0 km, and the time it takes for the wave to travel this distance is 12.0 s.
First, we need to convert the distance from kilometers to meters, since the SI unit of length is meters.
84.0 km = 84,000 m
Next, we can calculate the velocity:
velocity = distance / time
= 84000 m / 12.0 s
= 7000 m/s
Now we can substitute the values into the wavelength formula:
wavelength = velocity / frequency
= 7000 m/s / 10.0 Hz
= 700 m
Therefore, the wavelength of the earthquake wave is 700 meters.