The velocity of the transverse waves produced
by an earthquake is 6.13 km/s, while that of
the longitudinal waves is 9.9919km/s. A seismograph records the arrival of the transverse
waves 61.5 seconds after that of the longitudinal
waves. How far away was the earthquake?
velocity = displacement / time
6.13 km / seconds = x / 61.5 seconds
x = 376.995km ...?
I think this answer is wrong....
To find the distance of the earthquake, we can use the formula for velocity:
velocity = displacement / time
We know the velocity of transverse waves is 6.13 km/s and the velocity of longitudinal waves is 9.9919 km/s. We can set up the following equation:
6.13 km/s = displacement / 61.5 seconds
To find the displacement, we rearrange the equation:
displacement = velocity * time = 6.13 km/s * 61.5 seconds
Calculating this, we get:
displacement = 376.995 km
So, the distance of the earthquake is approximately 376.995 km.