- #1
twinklestar28
- 21
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Assume that an orca can generate a wavepacket which is half a sine wave. Show that the kinetic energy density in this wave can be written
U= ρgAλ/(32(π^2))
2. Homework Equations
mass per unit length=∫ρ dxdy
KE=1/2mv^2
3. The Attempt at a Solution
I'm confused on what to use for dx and dy. Would dx and dy be the displacements :
displacement in x = Ae^ky sin(wt-kx)
displacement in y = Ae^ky cos(wt-kx)
This however gives me complicated answers so I think my integral is completely wrong. Also for the velocity which they have given as vp= √gk/2 and vg=1/2vp which one do i use?
U= ρgAλ/(32(π^2))
2. Homework Equations
mass per unit length=∫ρ dxdy
KE=1/2mv^2
3. The Attempt at a Solution
I'm confused on what to use for dx and dy. Would dx and dy be the displacements :
displacement in x = Ae^ky sin(wt-kx)
displacement in y = Ae^ky cos(wt-kx)
This however gives me complicated answers so I think my integral is completely wrong. Also for the velocity which they have given as vp= √gk/2 and vg=1/2vp which one do i use?