williowthewisp Posted September 12, 2012 Posted September 12, 2012 "an underwater earthquake in the ocean generates a tsunami with a wavelength of 200 km and a height of 1.5 m. it travels in water that is uniformly deep (3 km) until it reaches an inlet, which is 4 m deep. when it is in the inlet, what will be its: a. speed © b. period (t) c. wavelength (L) d. height (h)" I understand tsunamis are treated as shallow water waves so the equation for speed is c= (gd)^1/2. (g = gravity = 9.8 m/s) and I'm assuming you just use the inlet depth of 4 m to get 6.26 m/second. what I don't know is the formulas for finding period and wavelength for shallow water waves. I know for deep waves you can use c=L/t where c=(g/2*pi)*t and L=(g/2*pi)*t^2. and (g/2*pi) = 1.56 m/s but I don't have the equations for short water waves. and I think I have height but If anyone wants to pass along that equation too, that'd be great. thanks to all.
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