Question

The velocity of the transverse waves produced by an earthquake is 5.09 km/s, while that of the longitudinal waves is 8.5512 km/s. A seismograph records the arrival of the transverse waves 64.9 s after that of the longitudinal waves. How far away was the earthquake

Answer 1

Answer:

Explanation:

Velocity of transverse wave Vt = 5.09 km/s

Velocity of longitudinal wave Vl = 8.5512 km/s

Let earthquake occurred d km  away .

Time taken by transverse wave to travel d distance

= d / 5.09 s

Time taken by longitudinal  wave to travel d distance

= d / 8.5512 s

According to question

$\frac{d}{5.09} -\frac{d}{8.5512} = 64.9$

.19646 d - .11694 d = 64.9

.07952 d = 64.9

d = 816.15 km .