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- Consider a linear sinusoidal water wave with wave length 140m and 3-m wave height at 30m water depth. (use sea-water density=1025kg/m³) (a) Find the amplitude of vertical particle velocity at 6m below the mean water level.An offshore platform is built to withstand ocean wave forces.(a) The annual maximum wave height of the ocean waves (above mean sea level) is a random variable with a Gaussian distribution having a mean height of 4.0 m and a c.o.v. of 0.80. What is the probability that the wave height will exceed 6 m in a given year?(b) If the platform were to be designed for a wave height (above mean sea level) such that it will not be exceeded by ocean waves over a period of 3 years with a probability of 80%, what should be the platform height above the mean sea level? Wave height exceedances between years are statistically independent.Organ pipe A, with both ends open, has a first harmonic at frequency 300 Hz. Organ pipe B, with one open end, has a fifth harmonic of the same frequency. a. What is the length of each pipe? b. Sketch the standing wave associated with each pipe. c. discuss the physics responsible for the standing wave existing in the organ pipe.
- P wave reflection data taken in alluvium over chalk is shown on Figure as travel time inm/s vs. distance in m. Find (a) the wave speed in the upper layer (alluvium),A wave with a period of 8 seconds and a height of 5.5 meters propagates in a water depth of 15 meters. What are the horizontal and vertical velocities and accelerations at an elevation of 5 meters below the still water level when the phase angle is 60 degrees?A structure is attached to the ocean floor as shown in the figure below. A 2-m-diameter circular gate/hatch is set at a 30-degree incline on the structure. (Part a) Determine the magnitude (in kN) of the hydrostatic force of the seawater (specific weight = 10.1 kN/m3) on the circular hatch. (Part b) Determine the location of the force as an inclined distance from the free surface, ?? (report the location to three decimal places).
- Write down the conditions for stability of a fully submerged body and a floating body.explain the conjugate depth and the concept of minimum specific energyP wave reflection data taken in alluvium over chalk is shown on Figure as travel time inm/s vs. distance in m. Find the depth to the alluvium-chalk interface.
- In a seismic survey, an air wave can be best described asa. A wave that travels through the airb. A compression wave that travels through the air in the pore spaces in the rockc. A direct, compression wave that travels from the source to the geophones through the aird. All of the aboveWaves with height H of 2m and period T of 10s propagating into the shore from water depth of d = 200 m to 3m. Find wave celerity C and on water depth of 200 m and 3 m. Classify the wave in each depth!a cylindrical buoy 60cm in diameter and 1.80 m high weighs 2810N. It is moored in salt water(s=1.03) to a 12.0 m long chain weighing 117.70N/m. At the high tide,their protrusion of 84cm of the top of the buoy surface. what would be the amount of th protusion if the tide drops by 2.10m. Specific weight of the chain is 76.42kn/m^3