A 0.75 m-diameter tower extends from the seabed to the sea surface at an offshore site where the wa- ter depth is 1000 m

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A 0 75 M Diameter Tower Extends From The Seabed To The Sea Surface At An Offshore Site Where The Wa Ter Depth Is 1000 M 1 (102.01 KiB) Viewed 28 times

A 0.75 m-diameter tower extends from the seabed to the sea surface at an offshore site where the wa- ter depth is 1000 m. A pressure transducer attached to the tower at 10 m below the still water level is used to measure waves passing the tower. There is a steady tidal current at the site which has speed 0.2 m/s at the sea surface and decays linearly to zero at 500 m depth (there is no current below 500 m depth). The seawater density is 1025 kg/m³. (a) What is the wave height and wave length at the site if the pressure measured by the transducer is as shown in Figure Q1? [4 marks] p (kN/m²) 100 50 0 0 5 10 Pmax= 120.7kN/m² 15 20 t (s) Figure Q1 25 30 35 40 (b) For the wave determined from Part (a), calculate the maximum wave-induced horizontal drag force on the tower, assuming a drag coefficient of 1.5. Clearly state the phase of the wave at which this maximum occurs. [6 marks] (c) Calculate the maximum wave-induced horizontal inertia force on the tower, assuming an inertia coefficient of 2.0. Clearly state the phase of the wave at which this maximum occurs. [6 marks] [4 marks] (d) Calculate the force on the tower due to the steady current. (e) Calculate the maximum wave-plus-current horizontal force on the tower and the phase of the wave at which this maximum occurs. [5 marks]