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.

A 100 mm diameter suction pipe leading to a pump carries a discharge of 0.03m3/s of oil (0.85), if the pressure at point A in the suction pipe is a vacuum of 180mmHg, find the total energy head at point A with respect to the datum of the pump

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°

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

A storm drain has a maximum capacity of 120 L/min. During heavy rains, an influx of 240 L/min approaches the drain. Assuming the drain is cylindrical, by how much would the drain radius need to be increased to handle the heavier rainfall? Assume the water travels at the same linear speed in both drains.   The answer is 1.4. Please explain why   A 16 times greater   B 42 times greater   C 2 times greater   D 1.4 times greater

Consider a train consisting of an engine of mass 55 tonne pulling 10 trucks, each of mass 13 tonne, travelling up an incline of 1 in 100 (sine). The rolling resistance to motion is 40 N/tonne, and the train's speed is increased from 20 km/h to 37 km/h over a distance of 600 m.       Calculate:    the total mass of the train:   kg.    the change in height of the train: metres.    the change in potential energy of the train:  MJ.   the starting velocity of the train: m/s.    the final velocity of the train: m/s.    the change in kinetic energy of the train: MJ.    the work done against the rolling resistance: MJ.    the total work done by the engine: MJ.

Can someone please help me to solve the following question showing all work. R-in = 5cm R-out = 15cm

Consider a length of pipe bent into a U-shape. The inside diameter of thepipe is 0.5 m. Air enters one leg of the pipe at a mean velocity of 100 m/sand exits the other leg at the same magnitude of velocity, but moving inthe opposite direction. The pressure of the flow at the inlet and exit is theambient pressure of the surroundings. Calculate the magnitude anddirection of the force exerted on the pipe by the airflow. The air densityis 1.23 kg/m3.

Water is flowing out of the nozzle (2) into atmospheric pressure (101 kPa). What is the horizontal force exerted by the flange to hold the nozzle (2) attached to the pipe (1)? Flow velocity at point (2) is 8 m/s. Water density is 1000 kg/m3.