Calculating Distance from Earthquake Using P and S Waves

AI Thread Summary
To calculate the distance from an earthquake using P and S waves, one must consider the different speeds of these waves: P waves travel at approximately 8.0 km/s and S waves at about 4.5 km/s. The time difference between the arrival of the P wave and the S wave is 88.7 seconds. By establishing equations that relate the distance traveled by each wave to their respective travel times, one can derive a formula to find the distance to the earthquake. A straightforward approach using kinematics equations is recommended, focusing on the time difference to solve for distance. This method effectively simplifies the problem without requiring complex formulas.
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When an earthquake occurs, two types of sound waves are generated and travel through the earth. The primary, or P, wave has a speed of about 8.0 km/s and the secondary, or S, wave has a speed of about 4.5 km/s. A seismograph, located some distance away, records the arrival of the P wave and then, 88.7 s later, records the arrival of the S wave. Assuming that the waves travel in a straight line, how far (in terms of m) is the seismograph from the earthquake?

I really don't know how to approach this problem

We skipped around chapter wise and I think I'm missing some important information from previous chapters regarding this problem.

The only logical equation that I think might be applicable to this problem is v = sqrt(ykT/M). Are there some crucial givens that I'm over looking?


I really just need some hints as to how to approach this problem

Thanks a lot
 
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The waves both travel the same distance, but in different times. Write the equations relating the time to the distance for each wave and solve each one for t. Subtract to get an equation for the time difference.
 
Perhaps a simple kinematics equations approach is what you are looking for. No use in complicating things. Thats all it really is.
 
I got it :)
 
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