A 2-m sea wave has a 6 s period and occurs at the surface of 100-m deep water. Assume sea- water density equals to 1,025 kg/m³. Calculate the energy and power densities of the wave.
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- A 6-meter-long segment of string contains 8 complete waves (8 crests and 8 troughs) and has a mass of 350 g. The string vibrates sinusoidally with a frequency of 75 Hz and a crest-to-valley displacement of 12 cm. Determine the power supplied to the string.A wave with a period T = 10 seconds is propagated shoreward over a uniformly sloping shelf from a depth d = 656 ft to a depth d = 9.8 ft. Find the wave celerities C and lengths L corresponding to depths d = 656 ft and d = 9.8 ft3) A concrete coated steel gas pipeline is to be laid between two offshore platforms in 100 m water depthwhere the maximum environmental conditions include waves of 20 m wave height and 14 s period. Thepipeline outside diameter is 46 cm, and the clay bottom slope is 1 on 100. Determine the submerged unitweight of the pipe. Assume linear wave theory is valid and that the bottom current is negligible.
- Problem 2Given: A wave of 0.3 m wave height and period 1.3 seconds is generated in a wave tank. The wave tank is 90 m. long, 3 m wide, and 3 m deep and filled with fresh water to a depth of 1.5 m. The density of water is 997 kg/m3. Required:a) Determine the classification of the wave (i.e., shallow, intermediate, deep).b) Evaluate the wave celerity, length, and group celerity.c) Evaluate the energy in one wavelength.Narragansett Bay is approximately 21 (statute) mi long andhas an average depth of 42 ft. Tidal charts for the area indicatea time delay of 30 min between high tide at the mouthof the bay (Newport, Rhode Island) and its head (Providence,Rhode Island). Is this delay correlated with thepropagation of a shallow-water tidal crest wave through thebay? Explain.A series of waves impinge on a wave -converting device is 500 m long .the period is 10s and the wave amplitude is 2.6 m determine the power generated per unit length (the density of sea water is 1030 kg/m^3) Typed and correct answer please. I ll rate accordingly.
- Water particle motions in a small amplitude wave system have resulted in the following data for a depth h = 1 m, at a location z = −0:5 m : (i) major semi-axis of trajectories = 0.1 m; (ii) minor semi-axis of trajectories = 0.05 m. Find wave height, period and length.Two pressure sensors are located at the bottom and at 7.62 m above the bottom, respectively. For an 8-second (period) progressive wave, the dynamic pressure amplitudes at sensors 1 and 2 are 2.07 x 104 N/m2 and 2.56 x 104 N/m2, respectively. What are the water depth, wave height, and wave length?It is true, that lower frequency waves travel at a slower rate than high frequency sounds? Yes or no?
- 1)A wave with a period T = 10 seconds is propagated shoreward over a uniformly sloping shelf from adepth d = 656 ft to a depth d = 9.8 ft. Find the wave celerities C and lengths L corresponding to depths d =656 ft and d = 9.8 ft 2) A wave in a depth d = 12 m, height H = 3 m, and a period T = 10 sec. The corresponding deepwaterwave height is H0 = 3.13 m.Find:(a) The maximum horizontal and vertical displacement of a water particle from its mean position when z= 0 and z = -d.(b) The maximum water particle displacement at an elevation z = -7.5 m when the wave is in infinitelydeep water.(c) For the deepwater conditions of (b) above, show that the particle displacements are small relative tothe wave height when z = -L0 /2 3)A concrete coated steel gas pipeline is to be laid between two offshore platforms in 100 m water depthwhere the maximum environmental conditions include waves of 20 m wave height and 14 s period. Thepipeline outside diameter is 46 cm, and the clay bottom slope is 1 on…A ship is towing a sonar array which approximates a submerged cylinder 2.5 ft in diameter and 30 ft long with its axis normal to the direction of tow. For seawater at 20°C, take ρ ≈ 1.99 slug/ft3 and μ ≈ 2.23E−5 slug/ft·s. If the tow speed is 12 kn (1 kn = 1.69 ft/s), estimate the horsepower required to tow this cylinder. Take CD = 0.31. What will be the frequency of vortices shed from the cylinder? Take fD/U ≈ 0.24.A 2-ft outside diameter pipeline lying on a sand seabed moved during a hurricane event. Determinethe wave height for a 15-s period wave needed to just move the concrete-coated steel pipe located in180 ft of water. The current normal to the pipeline is assumed to be 0.8 kts. Use linear wave theory.Crude oil with a specifi c gravity of 0.86 is inside the pipeline. The thickness of the steel pipe is 0.25in and the thickness of the concrete coating is 1 in.