Water from a large reservoir drives a turbine, and exits as a free jet from apipe of diameter D. The jet is deflected by a vane, and the horizontal force requiredto hold the vane is F directed to the left. Given: h = 40m, D = 0.15m, 0 = 30°,F, = 1500N, and Pw = 1000 kg/m³. Assume velocity magnitude at exit of vane isequal to that at entrance. If all losses are negligible, calculate:(a) The power developed by the turbine in kW.(b) The pressure difference across the turbine, and express it as a head (m).hFigure 1: Problem 2, A sketch (not-to-scale)Equations used must be labeled appropriately: conservationof mass, principle of linear momentum, principle of angularmomentum, or first law of thermodynamics.Control volumes must be drown and clearly defined.List all assumptions.

Answered: Image /qna-images/answer/a16aea92-8b20-4932-b0f3-f1c8c41cbec2.jpg

Answered: Water from a large reservoir drives a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Water is flowing horizontally in a pipe that has a diameter of 25cm. The water is flowing at 8 m/s. At 300 kPa gage the water enters a 90 degree bend reducing section, which is connected to a vertical pipe that has a diameter of 15cm. The inlet of the bend is 45 cm above the exit. If friction and gravity are negligible and the momentum flux correction factor is 1.04, how would I determine the net resultant force exerted on the reducer by the water?
A Francis radial-flow hydroturbine has the following dimensions, where location 2 is the inlet and location 1 is the outlet: r2 = 6.60 ft, r1 = 4.40 ft, b2 = 2.60 ft, and b1 = 7.20 ft. The runner blade angles are ?2 = 82° and ?1 = 46° at the turbine inlet and outlet, respectively. The runner rotates at n. = 120 rpm. The volume flow rate at design conditions is 4.70 ×106 gpm. Irreversible losses are neglected in this preliminary analysis. Calculate the angle ?2 through which the wicket gates should turn the flow, where ?2 is measured from the radial direction at the runner inlet. Calculate the swirl angle ?1, where ?1 is measured from the radial direction at the runner outlet. Does this turbine have forward or reverse swirl? Predict the power output (hp) and required net head (ft).
The waterwheel in Fig. is being driven at 200 r/minby a 150-ft/s jet of water at 20 ° C. The jet diameter is 2.5 in.Assuming no losses, what is the horsepower developed bythe wheel? For what speed Ω r/min will the horsepowerdeveloped be a maximum? Assume that there are manybuckets on the waterwheel.
The centrifugal pump of Fig. P3.155 has a flow rate Q andexits the impeller at an angle θ 2 relative to the blades, asshown. The fluid enters axially at section 1. Assumingincompressible flow at shaft angular velocity ω , derive athe formula for the power P required to drive the impeller.
A pipe 50 cm in diameter carries water (l0°C} at a rate of 0.5 m 3 / s. A pump in the pipe isused to move the water from an elevation of 30 m to 40 m. The pressure at section 1 is 70kPa gauge, and the pressure at section 2 is 350 kPa gauge. What power in kilowatts and inhorsepower must be supplied to the flow by the pump? Assume h L = 3 m of water and α 1 =α 2 = 1. Find the following Draw the Schematic diagram Drive the energy equation Calculate pump head Power requirement
A water truck drives slowly around a construction site, spraying water to keep dust down. A pump maintains a constant pressure of 100 kPa, gage, and the water is dispersed through 20 spray nozzles, each of diameter 0.01 m. If the truck is initially filled with 4000 L of water, and the flow rate is constant, determine how long the truck can drive before a refill is necessary in seconds.
A backward-swept centrifugal fan develops a pressure of 80 mm of water gauge. It has an impeller diameter of 0.89 m and runs at 720 rpm. The blade angle at the tip is 39° and the width of the impeller is 0.1m. Assuming a constant radial velocity of 9.15 m/s and density of air as 1.2 kg/ m3 , determine the fan efficiency, discharge and power required.
In the figure, the pipe entrance is sharp-edged. If the flow rate is 0.004 m3/s, what power, in W,is extracted by the turbine?
In Fig. water exits from a nozzle into atmosphericthe pressure of 101 kPa. If the exit velocity is V 2 = 8 m/s andfriction is neglected, what is the axial fl ange force requiredto keep the nozzle attached to pipe 1?( a ) 11 N, ( b ) 56 N, ( c ) 83 N, ( d ) 123 N, ( e ) 110 N
A fan draws air at rest and propels it 45 meters through a rectangular duct measuring 200 by 300 mm. At a rate of 0.6m3/s, air enters at 15°C and 750 mm Hg absolute pressure. What is the required theoretical power?
Water fl ows steadily through the box in Fig. P3.63. Averagevelocity at all ports is 7 m/s. The vertical momentum forceon the box is 36 N. What is the inlet mass fl ow?
A projectile-like object with maximum diameter of 20 cm is placed at the exit of a 25-cm-diameterpipe. Water flows through the pipe. At the upstream location 1, the velocity is uniform and equalto 2 m/s. The water exits to the atmosphere where the pressure is 100 kPa. Find the force requiredto hold the object in place. Be sure to state your assumptions.

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