For the velocity profile shown find  1.The total displacement ,D(in): 2.The average speed,S(in/s):

The data presented in the figure shows a generic 2.5MW wind turbine power curve and a wind speed data at hub height. 2500 0.25 2000 0.20 1500 0.15 1000 0.10 50 0.05 0.00 o 2 4 6 8 10 12 14 16 18 20 Wind speed (m/s) wWind speed frequency Power generated by wind turbine Estimate the Annual Energy Production that this wind turbine is able to generate. Power (MW) ksuanbay paads puM

Please explain on how to get the theta,  Qin and Qout. It should be theta =  54.2461 deg Q in = 0.0382 m3/s Q out = 0.0191 m3/s my professor said. but I don't have solution.  used 9.807m/s² not 9.81.. thank you

1. A piston-cylinder is producing a viscous oil flow, which has the flow rate of Q, radius R=1.5 mm, and stroke L-5 mm. The fluid density is p = 800 kg/m³ and the viscosity is μ = 0.5 Pa-s. The pressure to drive the flow is p=6.25 Pa. a. How many non-dimensional groupings can be obtained? Derive them. b. If the flow transitions at Re = PV(2R) =2300. Is the generated flow laminar or turbulent given Q=20 mL/s? LL c. Assume the pressure gradient is uniform on the cross-section and can be calculated using OP=-. The velocity profile in the cylinder is u(r) = ax - [1-(²]. Sketch the velocity profile. Calculate the shear stress at the R² ap 2UÔI cylinder wall and label the direction. d. Calculate the flow rate Q with the velocity profile in (c).. e. If the shear stress is uniform over the cross-section, i.e. T = C, what's the pressure gradient distribution and sketch it? L L. R

(d) A fluid flows at a velocity of 0.2 m/s at point 1 (shown as A1) in the system shown in Figure 4. The diameter at point I is 50mm and the diameter at point 2 (shown as A2) is 30 mm. Determine the flow velocity at point 2. Also determine the flow rate in m/s. A: V1 A2 V2 Q1 Q2 Figure 4