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Solved: Earthquake Analysis. Earthquakes produce several
Chapter 2, Problem 59P(choose chapter or problem)
Problem 59P
Earthquake Analysis. Earthquakes produce several types of shock waves. The most well known are the P-waves (P for primary or pressure) and the S-waves (S for secondary or shear). In the earth’s crust, P-waves travel at about 6.5 km/s and S-waves move at about 3.5 km/s. The time delay between the arrival of these two waves at a seismic recording station tells geologists how far away an earthquake occurred. If the time delay is 33 s, how far from the seismic station did the earthquake occur?
Questions & Answers
QUESTION:
Problem 59P
Earthquake Analysis. Earthquakes produce several types of shock waves. The most well known are the P-waves (P for primary or pressure) and the S-waves (S for secondary or shear). In the earth’s crust, P-waves travel at about 6.5 km/s and S-waves move at about 3.5 km/s. The time delay between the arrival of these two waves at a seismic recording station tells geologists how far away an earthquake occurred. If the time delay is 33 s, how far from the seismic station did the earthquake occur?
ANSWER:
Solution 59P
Step 1 of 3:
In the given problem, the distance travelled by two waves is same and it will be the distance of the earthquake from the station. Let the distance travelled be d.
By fundamental relation of speed ,
Distance travelled is given by, d = v t………...1
Where v is the speed and t is time.
Let the time taken by the P-waves be t and hence the time taken by S-waves will be t+33 s as the difference in reaching time is given to be 33s.