Problem 1 (10') At a certain location, wind is blowing steadily at 15 m/s. Determine the mechanical energy change of air per unit mass |Дe mech passing through a wind turbine and the maximum power generation of a wind turbine with 50 m diameter blades at that location. Take the air density to be 1.25 kg/m³. The wind speed after passing through the wind turbine is negligible.

An engineer designing a light aircraft is trying to make an estimate of the radius of the propeller needed. The design speed of the aircraft is 69m/s into still air and at this speed experience allows the engineer to assume a propeller efficiency of 0.8. Other analysis shows that a thrust of 9296N must be supplied by the propeller to maintain the design speed. Assuming a constant air density of 1.21 kg/m³, determine the radius of the ideal propeller in m to 2 decimal places. Note: Use the propulsive efficiency equation to find the final downstream speed of the air and check that this makes physical sense before calculating the radius.

Water with a density of 1.94 slug/ft³ is in a cart. Water is ejected from the cart with a velocity of 45 ft/s and a flow rate of 200 gal/min. It leaves at an angle of 60°. Assume the water inside the cart is motionless. a. Sketch the control volume b. Find the force F required to keep the cart in place 45 ft/s 60°

Consider air having standard sea level density is flowing through a wind tunnel. At the entrance of the wind tunnel, the velocity is 38 m/s. At the throat, the velocity is 169 m/s. Determine the density at the throat if the throat area is 37% of the area at the entrance. Provide answer in standard metric units. Round off answer to the nearest thousandths.

I need the answer as soon as possible

2) A Plate is dragging between two walls by a velocity of 0.054 m/s. The space between plate and lower wall is 30 mm and filled with oil while the space between the plate and the upper wall is 20 mm and filled with water. The velocity distribution in oil between plate and lower wall is given by: u = 60(0.06y – y), where y is measured in m and u in m/s. determine the force p that is required to maintain the velocity of plate when the area of plate is 1 m?. Upper wail D; Water Plate D, Lener mal

A 121-mm-diameter pipe enlarges to a 206-mm-diameter pipe. At section 1 of the smaller pipe, the density of a gas in steady flow is 346 kg/m3, and the velocity is 15 m/s; at section 2 of the larger pipe, the velocity is 24 m/s. Find the density in kg/m3 of the gas in section 2.

A pump is installed in a pipe system, where at the suction side 1.0 m below the pump, an open manometer reads a vacuum of 20 cm of mercury. The pipe is 10 cm in diameter and the flow is 35 L/s of water. Find the total energy at the location of the manometer, relative to a datum, through the pump. ( WITH FREE BODY DIAGRAM ) CHOIECES: A.2.56 B.-2.72 m C.12.74 m D.-4.67 m

The figure below shows the configuration of the center (tail-mounted) jet engine on an airliner. The airliner is cruising at altitude, and the velocities shown are relative to an observer on board. At this condition mfuel 4 kg/s and p₁ = Pamb = 30 kPa. D₁ = 1.0 m V₁ = 250 m/s P₁ = 0.4 kg/m³ P1 = Pamb mtuel Engine F = thrust force of engine on plane D₂ = 0.75 m P2 = 0.44 kg/m³ P2 = 63 kPa (nozzle exit only) Calculate the thrust force that the engine exerts on the airplane. F= i kN

The wind turbine gives the following data: Blade length, l = 39 m, Wind speed, V= 12.4 m/s, Air density, ρ = 1.23 kg/m3 , Power Coefficient, Cp = 0.39, Calculate the power available in the wind.