(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

phi(x,y,z,t)= cos(wt- the dot product of K and x)

k= kx i hat + ky j hat + kz k hat units are m^-1

x= x i hat + y j hat + z k hat units are m

t is time and w is the angular velocity w/ units of sec^-1

show that abs. value of k = w/alpha by plugging the displacement potential into the P-wave equation:

laplacian(phi) = 1/alpha^2 times d^2phi/dt^2

2. Relevant equations

laplacian= d^2phi/dx^2 + d^2phi/dy^2 + d^2phi/dz^2

only interested in d^2phi/dx^2

3. The attempt at a solution

I have carried out the dot product of k dot x:

x, y, z= sub x, y, z

X,Y,Z= X, Y, and Z

cos(wt-kxX + kyY + KzZ)

now I am stuck and don't know where to go/what to do...... any tips/suggestions would be awesome!

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Seismic displacement ofr a plane wave

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