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S-wave Challengel Example 17: An S-wave arrived at a seismic station 6,2 oo km away at 04:48:00 What time did the fixe P-wave arrive at this station?

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S-wave
Challengel
Example 17: An
S-wave arrived at a
seismic station 6,2 oo
km away at 04:48:00
What time did the fixe
P-wave arrive at this
station?

S-wave Challengel Example 17: An S-wave arrived at a seismic station 6,2 oo km away at 04:48:00 What time did the fixe P-wave arrive at this station?

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DonovanMaster · Tutor for 5 years

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#Explanation<br />To solve this problem, we need to understand the properties of P-waves and S-waves. P-waves, or primary waves, are the fastest seismic waves and the first to be recorded by a seismograph in the event of a disturbance, such as an earthquake. S-waves, or secondary waves, are slower and arrive after the P-waves.<br /><br />The average speed of P-waves is about 6 km/s, while the average speed of S-waves is about 3.5 km/s. We can use these average speeds to calculate the arrival times of the P-wave and S-wave at a seismic station that is a certain distance away.<br /><br />Given that the S-wave arrived at the seismic station 6,200 km away at 04:48:00, we can calculate the time it took for the S-wave to travel this distance. Using the average speed of S-waves (3.5 km/s), we find:<br /><br />Time = Distance / Speed<br />Time = 6,200 km / 3.5 km/s = 1,771.43 seconds<br /><br />Converting this time to hours, minutes, and seconds, we get approximately 0.49 hours, or 29 minutes and 31 seconds.<br /><br />Since the S-wave arrived at 04:48:00, the earthquake must have occurred at approximately 04:18:29 (04:48:00 - 00:29:31).<br /><br />Now, we can calculate the time it would take for a P-wave to travel the same distance. Using the average speed of P-waves (6 km/s), we find:<br /><br />Time = Distance / Speed<br />Time = 6,200 km / 6 km/s = 1,033.33 seconds<br /><br />Converting this time to hours, minutes, and seconds, we get approximately 0.29 hours, or 17 minutes and 13 seconds.<br /><br />So, the P-wave would have arrived at the seismic station at approximately 04:35:42 (04:18:29 + 00:17:13).<br /><br />#Answer<br />The P-wave arrived at the seismic station at approximately 04:35:42.
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