This question has been answered before, but did not yield the answer that was re

Question

This question has been answered before, but did not yield the answer that was requested.

Previous question: Assume harmonic P waves are traveling through a solid with ? = 10 km/s. If the maximum strain is 10?8 , what is the maximum particle displacement for waves with periods of: (a) 1 s, (b) 10 s, (c) 100 s?

Answer

a) For 1 sec

maximum particle displacement for waves =   10-8 * 10000 * 1

                                                                     = 10-4   m

b)   For 10 sec

maximum particle displacement for waves =   10-8 * 10000 * 10

                                                                     = 10-3 m

c)   For 100 sec

maximum particle displacement for waves =   10-8 * 10000 * 100

                                                                     = 10-2 m

This was the answer that recieved 0 points.

Explanation / Answer

a) If there is no strain the length travelled in 1 s = 8000 m

due to strain, the change in length = 8000 * 10-7 = 8*10-4 m;

therefore maximum displacement = (8000+8*10-4) m.

Similarly

b) length in 10 s = 80000 m

chage due to strain = 8*10-3 m.

therefore maximum displacement = (80000+8*10-3) m.

And

c) length in 100 s = 800000 m

chage due to strain = 8*10-2 m.

therefore maximum displacement = (800000+8*10-2) m.

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