(b) A jet of water, having a velocity of 30 m/s impinges on a series of vanes with a velocity of 15 m/s. The jet makes an angle of 30° to the direction of motion of the vane when entering and leaves the vane at an angle of 120°. () Sketch the velocity diagrams at the entrance and exit (i) Determine the vane angles so that the water enters and leaves the vane without shock. If the jet is 55mm in diameter, determine the work done for every second. (ii) What is the velocity the water as it exits the vane? (iv)

Do the ODE of it

Problem 5.2 A simple air duct with a side exhaust is shown below along with the direction of the velocity vectors at each inlet or outlet. The cross-sectional area at 1 and 3 are identical, Ac1 = Ac3 = 0.5 m². The velocity at 2, V₂, makes a 20° angle with the opening in the side of the duct A₂ = 0.5 m². Measurements indicate that the flow is steady with velocities V₁ = 10 m/s and V3 = 3 m/s. Assume that air behaves like an incompressible substance under these conditions. a) Determine the ratio of the volumetric flow rate at 2 to the volumetric flow rate at 1, /. b) Determine the ratio of the velocity at 2 to the velocity at 1, V₂/V₁. 1 20° Ans: a) 0.65 ≤ / ≤ 0.81 b) 1.75 ≤ V₂/V₁₂ ≤ 2.10

Consider the propeller tube shown in. The density of air is Pa = 1 23 kg/m. The diameter of the nozzles at B, C, D, and E is 100 mm 100 mm 0.5 m M D 60 rad/s 0.5 m 0.5 m 0.5 m Part A If the propeller tube rotates at a constant rate of 60 rad/s when 1.80 kg/s of air enters at A, determine the frictional torque M acting on the tube. Express your answer to three significant figures and include the appropriate units. Enter positive value if the moment is counterclockwise and negative value if the moment is clockwise.