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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.
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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 maximum value of total pressure (hydrostatic + hydrodynamic) that can be measured by a pressure sensor at 6m below the mean water level. (b) Find the amplitude of vertical particle velocity at 6m below the mean water level.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?There is a scour in front a vertical wall due to wave erosion. Assuming perfect reflection and shallow water conditions, determine the water depth under the node nearest the wall, if wave height and period are known at the wall. Assume an equilibrium scour depth such that maximum horizontal water particle velocity at the bottom is ≤ 3 m/s.
- Waves 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 regular wave has the following properties in 50m depth water: wave height: 3.5 m; wave period: 11 sec; wave angle: 30 degrees. Using linear wave theory, estimate the wave height in 6m depth, assuming straight and parallel depth contours.In 400 m depth water, a 17 sec period wave has a wave angle of ? = 60 degrees and a wave height of 2.3 m. What is the angle ? of the wave in 6 m depth water, in degrees?
- 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.If the average height in a wave record is 3.5 m and the average period is 6.9 s, how many waves would exceed 4 m height in a wave record that is 30 min long?Give me right solution Wave at depth d = 8.2 m, height H = 2.5 m and wave period T = 10 seconds. Deep sea wave height Ho = 2.85. Calculate: Wavelength, Wave velocity, and Wave energy
- 9. Bebang stands shoulder deep in the pool and observes that six crests of periodic surface waves pass each minute. The crests are 16.00 meters apart. What is the wavelength, frequency, period, and speed of the waves?Suppose an offshore platform is designed against the 200-yr wave (i.e., a wave height corresponding to a return period of 200yr), but it is only intended to operate for 30 years. What is the probability that it will be subjected to waves exceeding its design value during the 1st year of operation?1. Calculate the Froude angle for a flow of depth 0.102 m moving at 2 m/s. 2. Determine the minimum depth in a 3 m wide rectangular channel if the flow is to be subcritical with a flowrate of 30 m3/s. 3. Estimate the speed of a tsunami as it travels across the Pacific Ocean, given that the average depth of the water is about 2000 m. State your assumptions.