3. (25 points) A wave in the ocean has a wave height of 3.80 meters and...

Transcribed Image Text:

3. (25 points) A wave in the ocean has a wave height of 3.80 meters and a wave period of 14.5 seconds. The wave is propagating through the ocean, and at a depth of 300 meters, the wave angle of incidence to the shoreline is 50.0 degrees. Assuming deep water conditions, calculate the horizontal velocity and pressure at a depth of -10.00 meters for four positions on the wave: (1) crest, (2) trough, (3) zero upcrossing, and (4) zero downcrossing. H Horizontal particle velocity cosh[k(h+ z)]. sinh[kh] -=n 2 ]cos[kx - ot] Pressure p = pgn[- cosh[k(hz)]. cosh[kh] -]-pgz 4. (25 points) For the wave condition in Problem 3 above, determine the wave height when the wave reaches a depth of 11.00 m (assume shallow water conditions at this depth and deep water conditions at h = 300 m). In the context of your solution, discuss the validity of the shallow-water assumption. 3. (25 points) A wave in the ocean has a wave height of 3.80 meters and a wave period of 14.5 seconds. The wave is propagating through the ocean, and at a depth of 300 meters, the wave angle of incidence to the shoreline is 50.0 degrees. Assuming deep water conditions, calculate the horizontal velocity and pressure at a depth of -10.00 meters for four positions on the wave: (1) crest, (2) trough, (3) zero upcrossing, and (4) zero downcrossing. H Horizontal particle velocity cosh[k(h+ z)]. sinh[kh] -=n 2 ]cos[kx - ot] Pressure p = pgn[- cosh[k(hz)]. cosh[kh] -]-pgz 4. (25 points) For the wave condition in Problem 3 above, determine the wave height when the wave reaches a depth of 11.00 m (assume shallow water conditions at this depth and deep water conditions at h = 300 m). In the context of your solution, discuss the validity of the shallow-water assumption.