# Assuming the waves travel in straight lines, how far away is the center of the earthquake?

## The average speeds of transverse and longitudinal waves in rock are 8.9 km/s and 5.1 km/s respectively. A seismograph records the arrival of the transverse waves 73 s before that of the longitudinal waves.

Jul 20, 2016

Waves becoming straight is a limit problem of amplitude tending to 0 and/or the velocity of propagation ($\frac{2 \pi}{p e r i o d}$) becoming 0, in the limit.

#### Explanation:

Waves become straight when amplitude tends to 0 and/or the

velocity of propagation ($\frac{2 \pi}{p e r i o d}$) becoming 0, in the limit.

When the velocity of propagation $\to$0, the period $\to \infty$ and the

frequency $\to$0.

So, in my opinion, the results for this virtual limit problem are results

The model is $x = h \sin \left(k t + \alpha\right)$, where h and/or k $\to$ 0.